Aptitude
Question 1 
(i) is grammatically incorrect and (ii) is ambiguous  
(i) is grammatically correct and (ii) is ambiguous  
(i) is grammatically correct and (ii) is unambiguous  
(i) is grammatically incorrect and (ii) is unambiguous 
ii). Babu invited Danish to his home because he enjoys playing chess.
This statement is ambiguous as there is no guarantee that Danish knows playing chess.
Question 2 
Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs 150 more. The cost of the gift was Rs. _____.
12000  
666  
3000  
6000 
Gift cost = 10x
When two people are not going to contribute then remaining friends have to pay Rs 150 more.
Two friends contribution = 150 × 8 = 1200
One friend contribution = 600
Ten friends contribution = 6000
Cost of the Gift = 6000
Method2: There were ten friends decided to buy a gift.
Out of ten members two members are not able to pay their share.
So, two members amount was paid by remaining eight members.
Then the eight members has to pay 150 more, which is 150*8= 1200( two persons share).
One person share= 1200/2=600.
Ten members share= 600*10= 6000.
Price of the gift= 6000.
Question 3 
The expenditure on the project _____ as follows; equipment Rs.20 lakhs, salaries Rs.12 lakhs, and contingency Rs.3 lakhs.
break down  
break  
breaks down  
breaks 
Question 4 
The search engine's business model _____ around the fulcrum of trust.
bursts  
revolves  
sinks  
plays 
Question 5 
Two cars start at the same time from the same location and go in the same direction. The speed of the first car is 50 Km/h and the speed of the second car is 60 Km/h. The number of hours it takes for the distance between the two cars to be 20 Km is _____.
2  
3  
1  
6 
Speed of the second car = 60 km/h
Let no. of hours = x say
⇒ From the question we can write
(60)x  (50)x = 20
10x = 20
∴ x = 2 hrs
Question 6 
A court is to a judge as _____ is to a teacher.
a syllabus  
a student  
a punishment  
a school 
Question 7 
In a college, there are three student clubs. Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths club, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is _____.
900  
975  
225  
1000 
No. of students present in three student clubs
= 60 + 80 + 30 + 38 + 2 + 10 + 5
= 225 [i.e., 25% of the students in the college]
Total no. of students in the college = 225 × 4 = 900
Question 8 
The police arrested four criminals  P, Q, R and S. The criminals knew each other. They made the following statements:

P says "Q committed the crime."
Q says "S committed the crime."
R says "I did not do it."
S says "What Q said about me is false."
Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?
P  
Q  
R  
S 
II, III, IV are false.
II is false: 'S' is not criminal.
IV is also false: 'S' committed crime.
There is conflict among I, IV now as P, S both should be criminals.
⇒ II true: 'S' is criminal.
I, III, IV are false.
IV is false. So, 'S' is not criminal.
III is false. So. 'R' is criminal.
There is conflict among II, III as S, R both should be criminal.
III is true: Criminal ≠ R.
I, II, IV are false.
I is false. So, 'Q' is also not criminal.
II is false. So, 'S' is not criminal.
IV is false. So, 'S' is not criminal.
Q, R, S are not criminals. So, 'P' is criminal.
IV is true: I, II, III are false.
II is false. So, 'S' is not criminal.
IV is true. So, 'S' is criminal.
I is false. So, 'Q' is not criminal.
III is false. So, 'R' is criminal.
There is conflict, as R, S both should be criminals.
Question 9 
"A recent High Court judgement has sought to dispel the idea of begging as a disease — which leads to its stigmatization and criminalization — and to regard it as a symptom. The underlying disease is the failure of the state to protect citizens who fall through the social security net."
Which of the following statements can be inferred from the given passage?
Beggars are created because of the lack of social welfare schemes  
Beggars are lazy people who beg because they are unwilling to work  
Begging is an offence that has to be dealt with firmly  
Begging has to be banned because it adversely affects the welfare of the state 
The court is judged that because of failure of the state to protect citizens through social security schemes beggars are created.
Question 10 
Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests.

Request by X: Due to pollen allergy, I want to avoid a wing next to the garden.
Request by Y: I want to live as far from the washrooms as possible, since I am very sensitive to smell.
Request by Z: I believe in Vaastu and so want to stay in the Southwest wing.
The shaded rooms are already occupied. WR is washroom.
Question 11 
In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectngle. Out of the total number of the people, the percentage of administrators shall be in the range of _____.
16 to 30  
0 to 15  
46 to 60  
31 to 45 
From the given diagram:
Total no. of people = 70 + 10 + 20 + 20 + 40 = 160
No. of Administrators = 50
% of Administrators = 50/160 = 31.25
Question 12 
“From where are they bringing their books? __________ bringing __________ books from __________.”
The words that best fill the blanks in the above sentence are
Their, they’re, there  
They’re, their, there  
There, their, they’re  
They’re, there, there 
Question 13 
"A _______ investigation can sometimes yield new facts, but typically organized ones are more successful."
The word that best fills the blank in the above sentence is
meandering  
timely  
consistent  
systematic 
Question 14 
The area of a square is d. What is the area of the circle which has the diagonal of the square as its diameter?
πd  
πd^{2}  
(1/2)πd^{2}  
(1/2)πd 
Area of a square A = a^{2} (where a is side)
In the question,
Area of a square = d
The side of a square = √d
Diagonal of a square = Diameter of circle
From Pythagoras theorem,
Question 15 
What is the missing number in the following sequence?
2, 12, 60, 240, 720, 1440, _______, 02880  
1440  
720  
0 
2 × 6 = 12
12 × 5 = 60
60 × 4 = 240
240 × 3 = 720
720 × 2 = 1440
1440 × 0 = 0
Question 16 
What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of '7' in each case?
3047  
6047  
7987  
63847 
Take the LCM of 20, 42, 76 i.e., 7980.
⟹ Remainder = 7
⟹ Smallest number divisible by 20 (or) 42 (or) 72 which leaves remainder 7 is = 7980 + 7 = 7987
MethodII:
Option I:
3047 – 7 = 3040
3040 not divisible by 42
Option II:
6040 not divisible by 42
Option III:
7980 divisible by 20, 42, 76
Option IV:
63840 divisible by 20, 42, 76
→ Smallest (7980, 63840) = 7980
→ 7980 + remainder 7 = 7987
Question 17 
If pqr ≠ 0 and p ^{x }= 1/q, q ^{y }= 1/r, r ^{z }= 1/p, what is the value of the product xyz?
1  
1/pqr  
1  
pqr 
→ p^{x} = 1/q ⟹ 1/p^{x} = 1/q
⟹ q = p^{x}
⟹ log q = log p^{x}
⟹ x log p = log q
⟹ x = log q/ log p
→ q^{y} = 1/r ⟹ 1/q^{y} = 1/r
⟹ q^{y} = r
⟹ y log q = log r
⟹ y = log r/ log q
→ r^{z} = 1/p ⟹ 1/r^{z} = 1/p
⟹ p = r^{z}
⟹ log r^{z} = log p
⟹ z log r = log p
⟹ z = log p/ log r
XYZ = log q/ log p * log r/ log q * log p/ log r =1
Question 18 
In the figure below, ∠DEC + ∠BFC is equal to
∠BCD  ∠BAD  
∠BAD + ∠BCF
 
∠BAD + ∠BCD  
∠CBA + ADC 
→ ∠1 = ∠5 + ∠4 ………(i)
According to triangular property:
Angle of exterior = sum of interior angles
→ ∠4 = ∠3 + ∠2 ……….(ii)
By substituting (ii) in (i)
→ ∠1 = ∠5 + ∠3 + ∠2
→ ∠1 = ∠BCD
∠2 = ∠BAD
→ ∠BCD  ∠BAD = ∠1  ∠2
= ∠5 + ∠3 + ∠2  ∠2
= ∠ 5 + ∠3
= ∠DEC + ∠BFC
Question 19 
In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?
2:3  
1:1  
3:2  
2:1 
→ 60% invited guests are males i.e., 60 males
→ 40% invited guests are females i.e., 40 females
→ 80% invited guests are attended i.e., total guests attended to a party = 80
→ All the invited females are attended then remaining people are males = 80 – 40 = 40 males
⇒ 40 males : 40 females
⇒ 1 : 1
Question 20 
In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 8/9th of the eligible men and 2/3rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?
1,50,000  
2,00,000  
1,75,000  
1,51,000 
Female senior citizen’s gift = Rs. 1000
No. of males = a say
No. of females = b say
Altogether no. of persons eligible for gift = 300
i.e., a+b = 300
Total amount be given = (8x/9 × 750) + (2y/3 × 1000)
= (2000x/3) + (2000y/3)
= 2000/3 (x+y)
= 2000/3 (300)
= 2,00,000
Question 21 
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?
Three green faces and four red faces.  
Four green faces and three red faces.  
Five green faces and two red faces.  
Six green faces and one red face. 
→ If we roll a die for six time then we get 4 green faces and 2 red faces.
→ And if we roll for seventh time green face can have more probability to become a outcome.
→ Then most likely outcome is five green faces and two red faces.
Question 22 
After RajendraChola returned from his voyage to Indonesia, he _________ to visit the temple in Thanjavur.
was wishing  
is wishing  
wished  
had wished 
After Rajendrachola returned from his voyage to Indonesia, he wished to visit the temple in Tanjavur.
Question 23 
Research in the workplace reveals that people work for many reason __________.
money beside  
beside money  
money besides  
besides money 
Here we are using besides preposition "in addition to".
Question 24 
Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali,Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other?
Rahul and Murali  
Srinivas and Arul  
Srinivas and Murali  
Srinivas and Rahul 
Srinivas and Murali and Arul and Rahul are opposite to each other.
They face away from the center of table
Even in this case,
Srinivas and Murali and Arul and Rahul are opposite to each other.
Question 25 
Find the smallest number y such that y × 162 is a prefect cube.
24  
27  
32  
36 
⇒ 162 = 2×3×3×3×3 = 3^{3}×(2×3)
For (2×3) to be a perfect cube, it should be multiplied by (2^{2}×3^{2})
∴ Required number = y = 2^{2}×3^{2} = 36
Question 26 
The probability that a kdigit number does NOT contain the digits 0, 5 or 9 is
0.3^{k}  
0.6^{k}  
0.7^{k}  
0.9^{k} 
Total no.of possibilities = (10)^{k}
Required probability = (7)^{k} / (10)^{k} = 0.7^{k}
Question 27 
“The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history.”
Which of the following statements best reflects the author’s opinion?
Nationalists are highly imaginative.  
History is viewed through the filter of nationalism.  
Our colonial past never happened.  
Nationalism has to be both adequately and properly imagined. 
That represents the history of nationalism.
Question 28 
Six people are seated around a circular table. There are atleast two men and two women. There are at least three righthanded persons. Every woman has a lefthanded person to her immediate right. None of the women are righthanded. The number of women at the table is
2  
3  
4  
Cannot be determined 
Atleast three right handed persons.
None of the women are righthanded.
⇒ All the righthanded persons are men. Every woman has a lefthanded person to her immediate right.
⇒ For this to happen, there must be three lefthandedpersons and one of them should be a male.
As three persons are righthanded and those being men.
The number of women at the table = 2
Question 29 
The expression is equal to
the maximum of x and y  
the minimum of x and y  
1  
none of the above 
CaseI: x > y
⇒ x  y = x  y
Expression ⇒ (x + y)  (x  y) / 2 = y
In this case value of expression is minimum of y.
CaseII: x < y
⇒ x  y = (x  y)
Expression ⇒ (x + y)  (x  y) / 2
⇒ (x + y)  [(x  y)]/2 ⇒ x
In this case value of expression is minimum of x.
Finally, the value of expression is minimum of x & y.
Question 30 
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she likes?
21  
18  
16  
14 
Number of ways Arun chooses red or Shweta chooses white
= Number of ways Arun chooses red + Number of ways Shweta chooses white  Number of ways Arun chooses red and Shweta chooses white
= ^{3}P_{3} + ^{3}P_{3}  ^{2}P_{2}
= 3! + 3!  2!
= 10
∴ Required number of ways = 24  10 = 14
Question 31 
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. If in a flood, the water level rises to 525 m, which of the villages P, Q, R, S, T get submerged?
P, Q  
P, Q, T  
R, S, T  
Q, R, S 
∴ From the plot,
P=575m
Q=525m
R=475m
S=425m
T=500m
For a village to be submerged, the water level should rise to level greater than the village.
If water level rises to 525m, villages which are at heights below 525m, get submerged.
Here, R, S, T get submerged.
Question 32 
Choose the option with words that are not synonyms.
aversion, dislike  
luminous, radiant  
plunder, loot  
yielding, resistant 
Resistant means offering a resistance to something or someone.
Question 33 
Saturn is __________ to be seen on a clear night with the naked eye.
enough bright  
bright enough  
as enough bright  
bright as enough 
With adjectives and adverbs enough is comes after an adjectives and adverbs.
So, here we use bright enough to complete the sentence.
Question 34 
There are five buildings called V, W, X, Y and Z in a row (not necessarily in that order). V is to the West of W, Z is to the East of X and the West of V, W is to the West of Y. Which is the building in the middle?
V  
W  
X  
Y 
Z is to East of X and west of V = XZV ........(ii)
W is to west of Y = WY .........(iii)
From (i) and (ii) ⇒ VWY .........(iv)
From (ii) and (iv) ⇒ XZVWY
→ While building V is in the middle
Question 35 
A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?
12  
15  
18  
19 
No. of 4 marks questions = Y say
No. of questions X + Y = 20
Total no. of marks = 100
⇒ 3X + 11Y = 100
Option I:
If X=12; Y=8 ⇒ 3(12)+11(8) ⇒ 36+88 ≠ 100
Option II:
If X=15; Y=5 ⇒ 3(15)+11(5) ⇒ 100 = 100
Option III:
If X=18; Y=2 ⇒ 3(18)+11(2) ≠ 100
Option IV:
If X=19; Y=1 ⇒ 3(19)+11(1) ≠ 100
Question 36 
There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is
1⁄5  
7⁄30  
1⁄4  
4⁄15 
The probability of selecting same colour is
⇒ ^{3}C_{2} / ^{10}C_{2} * ^{4}C_{2} / ^{10}C_{2} * ^{3}C_{2} / ^{10}C_{2}
⇒ 3/45 + 6/45 + 3/45
⇒ 12/45
= 4/15
Question 37 
“We lived in a culture that denied any merit to literary works, considering them important only when they are handmaidens to something seemingly more urgent – namely ideology. This was a country where all gestures, even the most private, were interpreted in political terms.”
The author’s belief that ideology is not as important as literature is revealed by the word:
‘culture’  
‘seemingly’  
‘urgent’  
‘political’ 
(or)
As to give the impression of having a certain quality.
Question 38 
There are three boxes. One contains apples, another contains oranges and the last one contains both apple and oranges. All three are known to be incorrectly labeled. If you are permitted to open just one box and then pull out and inspect only one fruit, which box would you open to determine the contents of all three boxes?
The box labeled ‘Apples’  
The box labeled ‘Apples and Oranges’  
The box labeled ‘Oranges’  
Cannot be determined 
If we open a box labeled as apples and oranges that contains either apples (or) oranges:
Case I:
If it contains apples, then the box labeled oranges can contain apples and oranges and box labeled apples can contain oranges.
Case II:
If it contains oranges, then box labeled apples can contains apples and oranges and box labeled oranges can contains apples.
Question 39 
X is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number X^{3} will have
90 digits  
91 digits  
92 digits  
93 digits 
X = 4777......... (29 times (7))
X = 4.777........ ×10^{29}
X = 5×10^{29} (4.777 rounded as 5)
X^{3} = 125×10^{87}
Total no. of digits = 3+87 [125=3 digit, 10^{87} = 87 digit]
= 90
Question 40 
The number of roots of e^{x} + 0.5x^{2} – 2 in the range [5, 5] is
0  
1  
2  
3 
e^{x} = 0.5x^{2} + 2
If we draw a graph for e^{x} and 0.5x^{2} + 2 in between [5, 5]
Question 41 
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at 0.05 bar intervals in this plot.
If the possibility of a thunderstorm is given by how fast air pressure rises or drops over a region, which of the following regions is most likely to have a thunderstorm?
P  
Q  
R  
S 
Question 42 
Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.
I will not leave the place until the minister does not meet me.  
I will not leave the place until the minister doesn’t meet me.  
I will not leave the place until the minister meet me.  
I will not leave the place until the minister meets me. 
Minister is a singular person, with a singular object, so verb ends with 's'. So option C is incorrect.
Option 'D' is correct.
Question 43 
A rewording of something written or spoken is a ______________.
paraphrase  
paradox  
paradigm  
paraffin 
Question 44 
Archimedes said, “Give me a lever long enough and a fulcrum on which to place it, and I will move the world.”
The sentence above is an example of a ___________ statement.
figurative  
collateral  
literal  
figurine 
The use of the metaphorical words to explain about the thoughts instead of literal use of them.
Question 45 
If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?
zentaga  
tagafer  
tagazen  
relffer 
otaga  careful → (2)
fertaga  careless → (3)
From (1) & (2),
taga = care (and it is in the first half of the word)
From (3),
fer = less
Aftercare  tagazen
Care is in the second half of the word ⇒ taga should be in the first half.
Question 46 
A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is __________.
56  
64  
72  
96 
⇒ Side of cube = 4
Surface area of cube = 6s^{2} = 6 × 4^{2} = 96
Each corner block is associated with three faces of cube.
When they are removed, three new faces are exposed. Thus there appears no net change in the exposed surface area.
Hence, Surface area = 96
Question 47 
A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.
Which product contributes the greatest fraction to the revenue of the company in that year?
Elegance  
Executive  
Smooth  
Soft 
Revenue from Smooth = (20009 + 19392 + 22429 + 18229) × 63 = Rs. 5043717
Revenue from Soft = (17602 + 18445 + 19544 + 16595) × 78 = Rs.5630508
Revenue from Executive = (9999 + 8942 + 10234 + 10109) × 173 = Rs. 6796132
Clearly, Executive contributes the greatest fraction to the revenue of the company as the revenue from it is the highest.
Question 48 
Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is.
Which of the following can be logically inferred from the above sentences?
India is a country of exactly seventeen languages.  
Linguistic pluralism is the only indicator of a nation’s diversity.  
Linguistic pluralism is the only indicator of a nation’s diversity.  
Linguistic pluralism is strong evidence of India’s diversity. 
Which is inferred from the statement.
Option A, B, C are incorrect which are not properly inferred from the statement.
Question 49 
Consider the following statements relating to the level of poker play of four players P, Q, R and S.

I. P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q
Which of the following can be logically inferred from the above statements?

(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set
(i) only  
(ii) only  
(i) and (ii)  
neither (i) nor (ii) 
All three can beat S.
But from statement III,
S loses to P only sometimes.
(ii) Cannot be inferred.
And in poker, the transitive law does not apply. This can be seen from statement III.
As S loses to P only sometimes which states that wins against P most of the time.
So, (i) cannot be logically inferred.
Question 50 
If f(x) = 2x^{7} + 3x  5, which of the following is a factor of f(x)?
(x ^{3} +8)  
(x1)  
(2x5)  
(x+1) 
For (x  a) to be a factor of f(x)
f(a) = 0
From options,
Only a=1, satisfies the above equation
∴ (x  1) is a factor of f(x).
Question 51 
In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is ________.
40.00  
46.02  
60.01  
92.02 
General exponential function = a⋅e^{bx}
i.e., No. of cycles to failure = a⋅e^{bx}
load = x
At a load of 80 units, it takes 100 cycles to failure.
So, no. of cycles to failure = 100
load = 80
i.e., 100 = a⋅e^{  b(80)} (1)
When the load is halved, it takes 10000 cycles to failure.
No. of cycles to failure = 10,000
load = 40
i.e., 10,000 = a⋅e^{  b(40)} (2)
No. of cycles to failure = 5,000
load = x?
i.e., 5000 = a⋅e^{  bx}
Multiply with 2 on both sides,
10,000 = 2⋅a⋅e^{  bx}  (4)
Question 52 
The man who is now Municipal Commissioner worked as _______________.
the security guard at a university  
a security guard at the university  
a security guard at university  
the security guard at the university 
And coming to university it is an organization.
So we use are 'the' before university.
Question 53 
Nobody knows how the Indian cricket team is going to cope with the difficult and seamerfriendly wickets in Australia.
Choose the option which is closest in meaning to the underlined phrase in the above sentence.
put up with  
put in with  
put down to  
put up against 
→ Cope with is doesn't means that put someone into competition with some other.
Question 54 
Find the odd one in the following group of words.

mock, deride, praise, jeer
mock  
deride  
praise  
jeer 
Deride = express contempts for; ridicule
Jeer = Make rude and mocking remarks
→ These three are negative things
Praise = express warm approval
Question 55 
Pick the odd one from the following options.
CADBE  
JHKIL  
XVYWZ  
ONPMQ 
But in D, 2nd and 4th are in decreasing order.
Question 56 
In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of
n^{4}  
4^{n}  
2^{2n1}  
4^{n1} 
Product of roots (α, β) = 4
⇒ αβ = 4
(αβ)^{n} = 4^{n}
Question 57 
Among 150 faculty members in an institute, 55 are connected with each other through Facebook^{®} and 85 are connected through WhatsApp^{®}. 30 faculty members do not have Facebook^{®} or WhatsApp^{®} accounts. The number of faculty members connected only through Facebook^{®} accounts is ______________.
35  
45  
65  
90 
Number of faculty members connected through Facebook = 55
Number of faculty members connected through Whatsapp = 85
Number of faculty members with Facebook (or) Whatsapp accounts = 30
Number of faculty members with either Facebook (or) Whatsapp accounts = 150  30 = 120
Number of faculty members with both Facebook and Whatsapp accounts = 85 + 55  120 = 20
Number of faculty members with only Facebook accounts = 55  20 = 35
Question 58 
Computers were invented for performing only highend useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous. Many believe that the internet itself is an unintended consequence of the original invention. With the advent of mobile computing on our phones, a whole new dimension is now enabled. One is left wondering if all these developments are good or, more importantly, required.
Which of the statement(s) below is/are logically valid and can be inferred from the above paragraph?

(i) The author believes that computers are not good for us.
(ii) Mobile computers and the internet are both intended inventions.
(i) only  
(ii) only  
both (i) and (ii)  
neither (i) nor (ii) 
So, statement I does not follow.
→ "Many believes that the internet itself is unintended consequence of the original invention.
So, statement II does not follow, so Answer is Option D.
Question 59 
All hillstations have a lake. Ooty has two lakes.
Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?

(i) Ooty is not a hillstation.
(ii) No hillstation can have more than one lake.
(i) only  
(ii) only  
both (i) and (ii)  
neither (i) nor (ii) 
All hillstations have a lake → (1)
Ooty has two lakes → (2)
From (1), it cannot be inferred that every place having a lake is a hill station.
⇒ (i) cannot be logically intended.
From (1), it cannot be inferred how many lakes will be there in a hill station.
⇒ (ii) cannot be logically inferred.
Question 60 
In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?
21  
27  
30  
36 
Question 61 
Choose the correct expression for f(x) given in the graph.
f(x) = 1  x  1  
f(x) = 1 + x  1  
f(x) = 2  x  1  
f(x) = 2 + x  1 
x = 1 ⇒ f(x) = 0
x = 0 ⇒ f(x) = 1
We have check, which option satisfies both the conditions.
Only option (C) satisfies both of them.
Question 62 
Didn’t you buy _________ when you went shopping?
any paper  
much paper  
no paper  
a few paper 
Question 63 
Which of the following combinations is incorrect?
Acquiescence – Submission  
Wheedle – Roundabout  
Flippancy – Lightness  
Profligate – Extravagant 
Wheedle = Use endearments (or) flattery to persuade some to do something
Flippancy = Lack of respect (or) seriousness
Profligate = Recklessly extravagant
Question 64 
Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is probability that the sum of the two numbers equals 16?
0.20  
0.25  
0.30  
0.33 
Total outcomes = ^{4}C_{1} × ^{5}C_{1} = 20
Probability = Favourable outcomes/ Total outcomes = 4/20 = 0.20
Question 65 
Which of the following options is the closest in meaning to the sentence below?
She enjoyed herself immensely at the party.
She had a terrible time at the party.  
She had a horrible time at the party.  
She had a terrific time at the party.  
She had a terrifying time at the party. 
→ Horrible and terrible means fearful.
→ Terrific = Wonderful
→ So, C is the Answer.
Question 66 
Based on the given statements, select the most appropriate option to solve the given question.
If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?
Statements:
(I) Each step is 3/4 foot high.
(II) Each step is 1 foot wide.
Statement I alone is sufficient, but statement II alone is not sufficient.  
Statement II alone is sufficient, but statement I alone is not sufficient.
 
Both statements together are sufficient, but neither statement alone is sufficient.  
Statement I and II together are not sufficient. 
Statement I:
Each step is 3/4 foot high.
No. of steps = 9/(3/4) = 12 steps
Statement I alone is sufficient.
Statement II:
Each step is 1 foot wide.
Statement II alone is not sufficient.
Question 67 
The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion of male to female students in each department is 5:4. There are 40 males in Electrical Engineering. What is the difference between numbers of female students in the Civil department and the female students in the Mechanical department?
32  
33  
34  
35 
There are 40 males in Electrical Engineering.
⇒ Number of females in Electrical Engineering = 4/5 × 40 = 32
Total number of students in Electrical Engineering = 40+32 = 72
This constitutes 20% of the strength of college.
Number of students in Civil department = 30/100 × 72 = 108
Number of female students in Civil department = 4/(4+5) × 108 = 48
Number of students in Mechanical department = 10/20 × 72 = 36
Number of female students in Mechanical department = 4/(4+5) × 36 = 16
Required Difference = 48  16 = 32
Question 68 
Select the alternative meaning of the underlined part of the sentence.
The chain snatchers took to their heels when the police party arrived.
took shelter in a thick jungle  
open indiscriminate fire  
took to flight  
unconditionally surrendered 
Question 69 
The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c:

(I) p + m + c = 27/20
(II) p + m + c = 13/20
(III) (p) × (m) × (c) = 1/10
Only relation I is true  
Only relation II is true  
Relations II and III are true.  
Relations I and III are true. 
= 1  (1  m) (1  p) (1  c) = 0.75 (i)
50% of students have a chance pass in atleast two
(1  m)pc + (1  p)mc + (1  c) mp + mpc = 0.5 (ii)
40% of students have a chance of passing exactly two
(1  m)pc + (1  p)mc + (1  c)mp = 0.4 (iii)
From equation (ii) and (iii) we can get
mpc = 0.1
⇒ m*p*c = 1/10
Statement (III) is correct.
→ Simplify eq (i), we get
⇒ p+c+m  (mp+mc+pc) + mpc = 0.75
⇒ p+c+m  (mp+mc+pc) = 0.65 (iv) → Simplify equation (iii), we get
⇒ pc + mc + mp  3mpc = 0.4
From (iv) and (v)
p + c + m  0.7 = 0.65
⇒ p + c + m = 1.35 = 27/20
Statement (I) is correct.
Question 70 
The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option.
Statement:
There has been a significant drop in the water level in the lakes supplying water to the city.
Course of action:

(I) The water supply authority should impose a partial cut in supply to tackle the situation.
(II) The government should appeal to all the residents through mass media for minimal use of water.
(III)The government should ban the water supply in lower areas.
Statements I and II follow  
Statements I and III follow  
Statements II and III follow  
All statements follow 
Banning of water in lower areas is not the solution of the problem.
Question 71 
The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking.
What is the average of the marks obtained by the class in the examination?
2.290  
2.970  
6.795  
8.795 
Total marks obtained = 21 × 2 + 15 × 3 + 11 × 1 + 23 × 2 + 31 × 5 = 299
Average marks = 299/44 = 6.795
Question 72 
Based on the given statements, select the most appropriate option to solve the given question, What will be the total weight of 10 poles each of same weight?

Statements:
(I) One fourth of the weight of a pole is 5 kg
(II) The total weight of these poles is 160 kg more than the total weight of two poles.
Statement I alone is not sufficient  
Statement II alone is not sufficient  
Statement II alone is not sufficient  
Both statements I and II together are not sufficient. 
One fourth of the weight of a pole is 5Kg. ⇒ Weight of pole is 4×5 = 20Kg
Weight of 10 poles each of same weight = 10×20 = 200 Kg
∴Statement I alone is sufficient.
StatementII:
Let, Weight of each pole = W Kg
Given,
10W = 2W + 160
⇒ 8W = 160
W = 20Kg
∴ Weight of each pole = 20 Kg
∴ Weight of 10 poles = 10×20 Kg = 200 Kg
∴ Statement II alone is sufficient.
Option (C) is the answer.
Either I or II alone is sufficient.
Question 73 
Consider a function f(x) = 1  x on 1 ≤ x ≤ 1. The value of x at which the function attains a maximum and the maximum value of the function are
0, 1  
1, 0  
0, 1  
1, 2 
In the given function, it is given as
x ⇒ To obtain the maximum of this function we have to minimize the value x and the minimum value is 0.
∴ Maximum value of f(x) is at f(0) and i.e., f(x) = 1
Maximum value is 1 at x=0.
Question 74 
A generic term that include various items of clothing such as a skirt, a pair of trousers and a shirt is
fabric  
textile  
fibre  
apparel 
Question 75 
Choose the statement where underlined word is used correctly.
The industrialist load a personnel jet.
 
I write my experience in my personnel diary.  
All personnel are being given the day off.  
Being religious is a personnel aspect. 
Question 76 
We __________________ our friend’s birthday and we ______________ how to make it up to him.
Completely forgot    don’t just know
 
Forgot completely    don’t just know  
Completely forgot    just don’t know  
Forgot completely    just don’t know 
Question 77 
In a triangle PQR, PS is the angle bisector of ∠QPR and ∠QPS = 60º. What is the length of PS?
(q+r)/qr  
qr/(q+r)  
√(q^{2} + r^{2})  
(q+r)^{2} /qr 
∠QPS = 60º
and PS is angle bisector of ∠QPR
⇒ ∠QPS = ∠SPR = 60º
and ∠QPR = 120º
Let, PS = s
Area of ΔPQR = Area of ΔPQS + Area of ΔSPR
1/2 qr Sin∠QPR = 1/2 rs Sin∠QPS + 1/2 sq∠SPR
1/2 qr Sin 120º = 1/2 rs Sin 60º + 1/2 sq 60º
1/2 qr Sin × √3/2 = 1/2 rs × √3/2 + 1/2 × √3/2
qr = rs + sq
∴ s = qr/q+r
PS = qr/q+r
Question 78 
Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.
Since the report lacked needed information, it was of no use to them.
 
The report was useless to them because there were no needed information in it.
 
Since the report did not contain the needed information, it was not real useful to them  
Since the report lacked needed information, it would not have been useful to them. 
(C) not really useful
(D) would not have been
Question 79 
If the list of letters, P, R, S, T, U is an arithmetic sequence, which of the following are also in arithmetic sequence?

I. 2P, 2R, 2S, 2T, 2U
II. P3, R3, S3, T3, U3
III. P^{2}, R^{2}, S^{2}, T^{2}, U^{2}
I only  
I and II  
II and III  
I and III 
Hence, II is an arithmetic sequence.
If the set of numbers is multiplied by the common number, even then the new set will also be in arithmetic sequence.
Hence, I is an arithmetic sequence.
Question 80 
If p, q, r, s are distinct integers such that:

f(p,q,r,s) = max(p,q,r,s)
g(p,q,r,s) = min(p,q,r,s)
h(p,q,r,s) = remainder of (p×q)(r×s) if (p×q)>(r×s) OR remainder of (r×s)(p×q) if (r×s)>(p×q)
Also a function fgh(p,q,r,s) = f(p,q,r,s) × g(p,q,r,s) ×h(p,q,r,s)
Also the same operations are valid with two variable functions of the form f(p,q).
What is the value of fg(h(2,5,7,3),(4,6,8)?
8  
9  
7  
6 
= remainder of 21/10
= 1
fg(1,4,6,8) = f(1,4,6,8) × g(1,4,6,8)
= max(1,4,6,8) × min(1,4,6,8)
= 8 × 1
= 8
Question 81 
Four branches of a company are located at M, N, O and P. M is north of N at a distance of 4km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?
5.34  
6.74  
28.5  
45.49 
Question 82 
An unordered list contains n distinct elements. The number of comparisons to find an element in this list that is neither maximum nor minimum is
Θ(nlog n)  
Θ(n)  
Θ(log n)  
Θ(1) 
Question 83 
Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything _____ to the requirements of the exam
related  
extraneous  
outside  
useful 
Question 84 
Choose the most appropriate phrase from the options given below to complete the following sentence.
India is a postcolonial country because
It was a former British colony  
Indian Information Technology professionals have colonized the world  
India does not follow any colonial practices  
India has helped other countries gain freedom 
India is a postcolonial country because "It was a former British colony" that means if a country is called post colonial then it came into existence after the colonies rules and it can become a independent.
Question 85 
A function f(x) is linear and has a value of 29 at x = 2 and 39 at x = 3. Find its value at x = 5.
59  
45  
43  
35 
Question 86 
The Tamil version of ________ John Abrahamstarrer Madras café ________ cleared by the Censor Board with no cuts last week but the film’s distributors _________ no takers among the exhibitors for a release in Tamil Nadu _________ this Friday.
Mr., was, found, on  
a, was, found, at  
the, was, found, on  
a, being, find at 
Question 87 
If ROAD is written as URDG, then SWAN should be written as:
VXDQ  
VZDQ  
VZDP  
UXDQ 
S+3 = V, W+3 = Z, A+3 = D, N+3 = Q.
Question 88 
Select the pair that best expresses a relationship similar to that expressed in the pair: Children: Pediatrician
Adult: Orthopedist  
Females: Gynecologist  
Kidney: Nephrologist  
Skin: Dermatologist 
Question 89 
The exports and imports (in crores of Rs.) of a country from the year 2000 to 2007 are given in the following bar chart. In which year is the combined percentage increase in imports and exports the highest?
2006  
2007  
2008  
2009 
Increase in imports in 2006 = 120  90/90 = 33.3% which is more than any other year.
Question 90 
The head of a newly formed government desires to appoint five of the six selected members P, Q, R, S, T and U to portfolios of Home, Power, Defense, Telecom, and Finance. U does not want any portfolio if S gets one of the five. R wants either Home or Finance or no portfolio. Q says that if S gets either Power of telecom, then she must get the other one. T insists on a portfolio if P gets one Which is the valid distribution of portfolios?
PHome, QPower, RDefense, STelecom, TFinance  
RHome, SPower, PDefense, QTelecom, TFinance  
PHome, QPower, TDefense, STelecom, UFinance  
QHome, UPower, TDefense, RTelecom, PFinance 
Question 91 
Choose the most appropriate equation for the function drawn as a thick line, in the plot below
x = y  y  
x = (y  y)  
x = y + y  
x = (y + y) 
Then the Answer is x =  (y  y)
Question 92 
Most experts feel that in spite of possessing all the technical skills required to be a batsman of the highest order, he is unlikely to be so due to lack of requisite temperament. He was guilty of throwing away his wicket several times after working hard to lay a strong foundation. His critics pointed out that until he addressed this problem, success at the highest level will continue to elude him. Which of the statements(s) below is/are logically valid and can be inferred from the above passage?
 (i) He was already a successful batsman at the highest level.
(ii) He has to improve his temperament in order to become a great batsman.
(iii) He failed to make many of his good starts count.
(iv) Improving his technical skills will guarantee success.
(iii) and (iv)  
(ii) and (iii)  
(i), (ii) and (iii)  
(ii) only 
→ He is unlikely due to lack of requisite temperament  (ii) is True
→ He was guilty of throwing away his wicket several times  (iii) is True
Question 93 
Alexander turned his attention towards India, since he had conquered Persia. Which one of the statements below is logically valid and can inferred from the above sentence?
Alexander would not have turned his attention towards India had he not conquered Persia  
Alexander was not ready to rest on his laurels, and wanted to march to India  
Alexander was completely in control of his army and could command it to move towards India  
Since Alexander’s kingdom extended to Indian borders after the conquest of Persia, he was keen to move further 
Y be " he had conquered Persia"
Like that
∼X be "Alexander would not have turned his attention towards India"
then
∼Y be "he had not conquered Persis"
Answer is option A.
Question 94 
Which of the following options is the closest in meaning to the phrase underlined in the sentence below? It is fascinating to see life forms cope with varied environmental conditions.
adopt to  
adapt to  
adept in  
accept with 
(1) Adopt ⇒ Legally take and bring it up as one's own.
(2) Adapt ⇒ Make suitable for a new use or purpose.
(3) Adept ⇒ Very skilled (or) proficienct at something.
(4) Accept ⇒ Believe (or) come to recognize as valid (or) correct.
Option B is correct.
Question 95 
Choose the most appropriate word from the options given below to complete the following sentence. He could not understand the judges awarding her the first prize, because he thought that her performance was quite __________.
superb  
medium  
mediocre  
exhilarating 
Question 96 
In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey by the statement?
He wants all the money  
He will return the money  
He will assume final responsibility  
He will resist all enquiries 
⇒ It represents that this is the final stage of responsibility.
Question 97 
If (z + 1/z)^{2 } = 98, compute (z^{2}+ 1/z^{2}).
96  
97  
98  
99 
= 98
⇒ z^{2} + 1/z^{2}
= 96
Question 98 
The roots of ax^{2} + bx + c = 0 are real and positive. a, b and c are real. Then ax^{2} + bx+ c = 0 has
no roots  
2 real roots  
3 real roots  
4 real roots 
For roots to be real & positive b^{2}4ac>0
This will have 2 real positive roots.
ax^{2}+bx+c = 0
Discriminant = b^{2}4ac>0
ax^{2}+bx+c
(b)^{2}4ac
⇒ b^{2}4ac
Is also > 0. This will have real roots.
⇒ This will have 4 real roots.
Question 99 
The Palghat Gap (or Palakkad Gap), a region about 30 km wide in the southern part of the Western Ghats in India, is lower than the hilly terrain to its north and south. The exact reasons for the formation of this gap are not clear. It results in the neighbouring regions of Tamil Nadu getting more rainfall from the South West monsoon and the neighbouring regions of Kerala having higher summer temperatures. What can be inferred from this passage?
The Palghat gap is caused by high rainfall and high temperatures in southern Tamil Nadu and Kerala  
The regions in Tamil Nadu and Kerala that are near the Palghat Gap are lowlying  
The low terrain of the Palghat Gap has a significant impact on weather patterns in neighbouring parts of Tamil Nadu and Kerala  
Higher summer temperatures result in higher rainfall near the Palghat Gap area 
⇒ Option C is suitable option.
Question 100 
Geneticists say that they are very close to confirming the genetic roots of psychiatric illnesses such as depression and schizophrenia, and consequently, that doctors will be able to eradicate these diseases through early identification and gene therapy. On which of the following assumptions does the statement above rely?
Strategies are now available for eliminating psychiatric illnesses  
Certain psychiatric illnesses have a genetic basis  
All human diseases can be traced back to genes and how they are expressed  
In the future, genetics will become the only relevant field for identifying psychiatric illnesses 
⇒ Option B is the only option that contain illness.
Question 101 
Roundtrip tickets to a tourist destination are eligible for a discount of 10% on the total fare. In addition, groups of 4 or more get a discount of 5% on the total fare. If the one way single person fare is Rs 100, a group of 5 tourists purchasing roundtrip tickets will be charged Rs _________.
850  
851  
852  
853 
Round trip, there is a discount of 10% of total fare.
Group of 4 or more, Discount of 5% of total fare.
∴ 5 tourists ⇒ Total fare = 5 × 200 = 1000
Total discount = 10% of 1000 + 5% of 1000
= 100 + 50
= ₹150
∴ Fare charged = 1000  150 = ₹850
Question 102 
In a survey, 300 respondents were asked whether they own a vehicle or not. If yes, they were further asked to mention whether they own a car or scooter or both. The irresponses are tabulated below. What percent of respondents do not own a scooter?
48  
49  
50  
51 
[No. of respondents who do not own a scooter] = [No. of respondents who own's only a car + No. of respondents who do not own any vehicle]
= 40 + 34 + 70
= 144
Percentage = 144/300 × 100 = 48%
Question 103 
When a point inside of a tetrahedron (a solid with four triangular surfaces) is connected by straight lines to its corners, how many (new) internal planes are created with these lines? __________.
6  
7  
8  
9 
→ If you take a point inside a tetrahedron, then you have 5 points.
→ An internal plane is formed by joining any of the three points.
→ No. of planes = ^{5} C _{3} = 10
But 4 of them will be faces of tetrahedron.
∴ New planes = 10  4 = 6
Question 104 
Consider the statement
“Not all that glitters is gold”
Predicate glitters(x) is true if x glitters and predicate gold(x) is true if x is gold. Which one of the following logical formulae represents the above statement?
∀x: glitters(x) ⇒ ¬gold(x)  
∀x: gold(x) ⇒ glitters()  
∃x: gold(x) ∧ ¬glitters(x)  
∃x: glitters(x) ∧ ¬gold(x) 
Not all that glitters is gold.
Option A:
∀x:glitters(x) ⇒ ¬gold(x)
which means that every item (x), which glitters is not gold.
Option B:
∀x:gold(x) ⇒ glitters()
Every item (x) which is gold is a glitter.
(or)
Every golden item glitters.
Option C:
∃x: gold(x) ∧ ¬glitters(x)
There are some gold items which does not glitters.
Option D:
∃x:glitters(x) ∧ ¬gold(x)
There exists some glitters which are not gold.
(or)
Not all glitters are gold.
The answer is Option (D).
Method 2:
⇒ (∼∀x) (∼ (glitters(x) ⇒ gold(x))
⇒ ∃x (∼ (∼glitters(x) ∨ gold(x))
⇒ ∃x (glitters ∧ gold(x))
Question 105 
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________.
0.25  
0.26  
0.27  
0.28 
If we break at point x, length of the one piece x and the other piece is 1 – x.
Length of the shorter stick is between 0 to 0.5. If it is more than 0.5 then it will be longer stick.
The random variable (l) follows a uniform distribution. The probability function of l is
1/(ba)=1/(0.50)=2 (length is between 0 to 0.5)
Expected value of length
(where P(l) is the probability density function)
Question 106 
Consider the following system of equations:
 3x + 2y = 1
4x + 7z = 1
x + y + z = 3
x – 2y + 7z = 0
The number of solutions for this system is _______.
1  
2  
3  
4 
3x + 2y = 1
4x + 7z = 1
x + y + z = 3
x – 2y + 7z = 0
This is a nonhomogeneous equation system.
The Augmented matrix for above set of equations is
For matrix (A):
R_{4}→ R_{4}+R_{1}
R_{4}→ R_{4}R_{2}
Rank = 3
For matrix (AB):
R_{4}→(R_{4}+R_{1} )R_{2}
Rank = 3
Rank of (A) = Rank (AB), so Unique solution
rank = 3 = no. of variables
Working Rule for Nonhomogeneous equation:
(1) rank (A) < rank (AB), Inconsistent solution
(2) is rank (A) = rank (AB) = r then
if r = n, Unique solution
r < n, Infinite solution
Question 107 
Who ___________ was coming to see us this evening?
you said  
did you say  
did you say that  
had you said 
Question 108 
Match the columns.
Column 1 Column 2 1) eradicate P) misrepresent 2) distort Q) soak completely 3) saturate R) use 4) utilize S) destroy utterly
1 : S, 2 : P, 3 : Q, 4 : R  
1 : P, 2 : Q, 3 : R, 4 : S  
1 : Q, 2 : R, 3 : S, 4 : P  
1 : S, 2 : P, 3 : R, 4 : Q 
Distort = misrepresent
Saturate = Soak completely
Utilize = use
Question 109 
What is the average of all multiples of 10 from 2 to 198?
90  
100  
110  
120 
Average = 10+20+30+...+180+190 / 19 = (19/2 [10+190]) / 19 = 100
Question 110 
The value of is
3.464  
3.932  
4.000  
4.444 
Squaring on both sides,
x^{2} = 12+x
x^{2}  x  12 = 0
(x4) (x+3) = 0
∴ x = 4 (x ≠ 3)
Question 111 
The old city of Koenigsberg, which had a German majority population before World War 2, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the Baltic Sea on the north and the countries of Poland to the south and west and Lithuania to the east respectively. Which of the statements below can be inferred from this passage?
Kaliningrad was historically Russian in its ethnic make up  
Kaliningrad is a part of Russia despite it not being contiguous with the rest of Russia  
Koenigsberg was renamed Kaliningrad, as that was its original Russian name  
Poland and Lithuania are on the route from Kaliningrad to the rest of Russia 
Question 112 
The number of people diagnosed with dengue fever (contracted from the bite of a mosquito) in north India is twice the number diagnosed last year. Municipal authorities have concluded that measures to control the mosquito population have failed in this region.
Which one of the following statements, if true, does not contradict this conclusion?
A high proportion of the affected population has returned from neighbouring countries where dengue is prevalent  
More cases of dengue are now reported because of an increase in the Municipal Office’s administrative efficiency  
Many more cases of dengue are being diagnosed this year since the introduction of a new and effective diagnostic test  
The number of people with malarial fever (also contracted from mosquito bites) has increased this year 
Question 113 
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in 2009, by what percent did the number of male students increase in 2009?
140  
141  
142  
143 
Number of female in 2008 = y
Number of female in 2009 = 2y
Given,
x/y = 2.5 ⇒ y = 2x/5
Let, number of male in 2009 = M
Given, M/2y = 3
M/2(2x/5) = 3 ⇒ M = 12x/5
Percentage increase = Mx/x × 100
= 12x/5x/ x × 100
= 7/5 × 100
= 140%
Question 114 
At what time between 6 a.m. and 7 a.m. will the minute hand and hour hand of a clock make an angle closest to 60°?
6:22 am  
6:27 am  
6:38 am  
6:45 am 
And for every minute, the angle between them decreases by 6°  (1/2)° = 5 (1/2)°
∴ For the angle to be closest to 60°, the angle must be reduced by atmost 120°.
1 min  5(1/2)°
x min  120°
x = 2/11 × 120 = 240/11 = 21.81 m ≈ 22 min
i.e. 6.22 a.m. the angle between minute hand and hour hand will be closest to 60°.
Question 115 
While trying to collect(I) an envelope from under the table(II), Mr. X fell down (III) and was losing consciousness (IV) Which one of the above underlined parts of the sentence is NOT appropriate?
I  
II  
III  
IV 
Question 116 
If she _____________ how to calibrate the instrument, she ______________ done the experiment.
knows, will have  
knew, had  
had known, could have  
should have known, would have 
Rule: If + past perfect then result to be perfect conditional (or) perfect continuous condition.
Then answer is Option C.
Question 117 
Choose the word that is opposite in meaning to the word “coherent”.
sticky  
wellconnected  
rambling  
friendly 
Rambling = lengthy and confused (or) inconsequential
Question 118 
Which number does not belong in the series below?
2, 5, 10, 17, 26, 37, 50, 64
17  
37  
64  
26 
2 = 1^{2}+1
5 = 2^{2}+1
10 = 3^{2}+1
17 = 4^{2}+1
26 = 5^{2}+1
37 = 6^{2}+1
50 = 7^{2}+1
64 = 8^{2}+0
64 does not belong to the series.
Question 119 
The table below has questionwise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in the examination.
What is the average of the marks obtained by the class in the examination?
1.34  
1.74  
3.02  
3.91 
Total marks obtained = (21×2)+(15×3)+(23×2) = 133
Average marks = 133/44 = 3.02
Question 120 
A dance programme is scheduled for 10.00 a.m. Some students are participating in the programme and they need to come an hour earlier than the start of the event. These students should be accompanied by a parent. Other students and parents should come in time for the programme. The instruction you think that is appropriate for this is
Students should come at 9.00 a.m. and parents should come at 10.00 a.m.  
Participating students should come at 9.00 a.m. accompanied by a parent, and other parents and students should come by 10.00 a.m.  
Students who are not participating should come by 10.00 a.m. and they should not bring their parents. Participating students should come at 9.00 a.m.  
Participating students should come before 9.00 a.m. Parents who accompany them should come at 9.00 a.m. All others should come at 10.00 a.m. 
→ All other students and parents should come in time for the programme i.e. 10.00 am.
→ Option B is correct answer.
→ In option D, they gave, all other should come at 10.00 am that includes student's parents, staff and all others. So this is not correct option.
Question 121 
By the beginning of the 20^{th} century, several hypotheses were being proposed, suggesting a paradigm shift in our understanding of the universe. However, the clinching evidence was provided by experimental measurements of the position of a star which was directly behind our sun.
Which of the following inference(s) may be drawn from the above passage?
 (i) Our understanding of the universe changes based on the positions of stars
(ii) Paradigm shifts usually occur at the beginning of centuries
(iii) Stars are important objects in the universe
(iv) Experimental evidence was important in confirming this paradigm shift
(i), (ii) and (iv)  
(iii) only  
(i) and (iv)  
(iv) only 
(i) is incorrect as it generalizes the experimental evidence of the star and assumes it to be always true, which may not be the case every time.
(ii) and (iii) is anyway wrong.
Hence, answer is option (D).
Question 122 
The Gross Domestic Product (GDP) in Rupees grew at 7% during 20122013. For international comparison, the GDP is compared in US Dollars (USD) after conversion based on the market exchange rate. During the period 20122013 the exchange rate for the USD increased from Rs. 50/ USD to Rs. 60/ USD. India’s GDP in USD during the period 20122013
increased by 5%  
decreased by 13%  
decreased by 20%  
decreased by 11% 
GDP in rupees = x
GDP in dollars = x/50
Increase in GDP in rupees = 7%
∴ New GDP in rupees = 1.07x
New GDP in dollars = 1.07x/60
Change = ((1.07x/60)  (x/50))/(x/50) = 6.5/60 = 10.83%
As it is negative, the value has decreased.
GDP in VSD has decreased by 11%.
Question 123 
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students in 2011 and 2012 is equal, what is the ratio of male students in 2012 to male students in 2011?
1:1  
2:1  
1.5:1  
2.5:1 
Male to female students ratio in 2011 = 1 : 1
Male to female students ratio in 2012 = 1.5 : 1 = 3 : 2
⇒ M_{1}/F_{1} = 1:1
M_{1} = F_{1}  (1)
⇒ M_{2}/F_{2} = 1:1
2M_{2} = 3F_{2}  (2)
Given,
F_{1} = F_{2}  (3) From (1) & (2)
M_{1}/M_{2} = F_{1}/(3F_{2}/2) = 2F_{1}/3F_{2}
But from (3)
M_{1}/M_{2} = 2/3
We need to find
M_{2} : M_{1} = 3 : 2 = 1.5 : 1
Question 124 
Consider the equation: (7526)_{8}  (Y)_{8 } = (4364)_{8}, where (X)_{N} stands for X to the base N. Find Y.
1634  
1737  
3142  
3162 
⇒ 1/8 = (7526)_{8}  (4364)_{8}
Base 8 ⇒ 0 to 7 digits
When you are borrowing you will add the value of the base, hence 2 becomes (2+8) = 10
Y = 3142
Question 125 
Which one of the following options is the closest in meaning to the word given below?
Nadir
Highest  
Lowest  
Medium  
Integration 
Question 126 
Complete the sentence: Universalism is to particularism as diffuseness is to _________________
specificity  
neutrality  
generality  
adaptation 
Particularism = Exclusive attachment to one's own group, party (or) Nation.
Diffuseness = The spatial property of being spread out over a wide area (or) through a large volume.
Specificity = The quality of belonging (or) relating uniquely to a particular subject.
Question 127 
What will be the maximum sum of 44, 42, 40, ...... ?
502  
504  
506  
500 
44, 42, 40, ...... 0
2(22 + 21 + 20 + …. 1)
Sum(n) = (n(n+1))/2 = (22×23)/2 = 253
⇒ 2(253)
= 506
Question 128 
Were you a bird, you ______________ in the sky.
would fly  
shall fly  
should fly  
shall have flown 
Question 129 
Choose the grammatically INCORRECT sentence:
He is of Asian origin.  
They belonged to Africa.  
She is an European.  
They migrated from India to Australia. 
→ We can't use "an" infront of European. It can be pronounced as European. Here E is silent.
→ So, option C is the answer
Question 130 
Find the sum of the expression
7  
8  
9  
10 
Multiply on numerator & denominator
= 1+9
= 8
Question 131 
Out of all the 2digit integers between 1 and 100, a 2digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?
13/90  
12/90  
78/90  
77/90 
⇨ Find which can be divisible by 7 upto 100
14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
Total = 13
Probability of divisible by 7 is = 13/90
Which can’t be divisible by 7 is
⇒ 1 – (probability of divisible by 7)
⇒ 1 – (13/90)
⇒ 77/90
Question 132 
After several defeats in wars, Robert Bruce went in exile and wanted to commit suicide. Just before committing suicide, he came across a spider attempting tirelessly to have its net. Time and again, the spider failed but that did not deter it to refrain from making attempts. Such attempts by the spider made Bruce curious. Thus, Bruce started observing the nearimpossible goal of the spider to have the net. Ultimately, the spider succeeded in having its net despite several failures. Such act of the spider encouraged Bruce not to commit suicide. And then, Bruce went back again and won many a battle, and the rest is history. Which one of the following assertions is best supported by the above information?
Failure is the pillar of success.  
Honesty is the best policy.  
Life begins and ends with adventures.  
No adversity justifies giving up hope. 
Option D is related to the given information.
Question 133 
A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h during his entire journey is
36  
30  
24  
18 
Let ‘x’ be the total distance,
Speed = distance/ time
Total speed = (total distance)/(total time); Time = distance/speed
Time taken for train journey = (x⁄2)/60kmph = x/120
Time taken for bus journey = (x⁄4)/30kmph = x/120
Time taken for cycle journey = (x⁄4)/10kmph = x/40
Total time = x/120+x/120+x/40 = 5x/120
Total speed = (total distance)/(total time) = x/(5x⁄120) = (120×x)/5x = 24kmph
Question 134 
The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is
16,500  
15,180  
11,000  
10,120 
Working hours decreased by (1/24) ⇒ 11/24 ⇒ 23/24
The new cost of erection = 13,200 × 6/5 × 23/24 = 15,180
Question 135 
The cost function for a product in a firm is given by 5q^{2}, where q is the amount of production. The firm can sell the product at a market price of ₹50 per unit. The number of units to be produced by the firm such that the profit is maximized is
5  
10  
15  
25 
Profit = 50q  5q^{2}
For Profit to be maximum,
d(Profit)/dq = 0
d(50q  5q^{2}) /dq = 0
50  10q = 0
50 = 10q
q = 5
Question 136 
Choose the most appropriate alternative from the options given below to complete the following sentence:
Despite several ––––––––– the mission succeeded in its attempt to resolve the conflict.
attempts  
setbacks  
meetings  
delegations 
Despite several setbacks the mission succeeded in its attempt to resolve the conflict.
Question 137 
Which one of the following options is the closest in meaning to the word given below?
MitigateDiminish  
Divulge  
Dedicate  
Denote 
Synonyms = Diminish, alleviate, reduce etc.
Question 138 
Choose the grammatically INCORRECT sentence:
They gave us the money back less the service charges of Three Hundred rupees.  
This country’s expenditure is not less than that of Bangladesh.  
The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum.  
This country’s expenditure on educational reforms is very less. 
In the sentence "very less" is incorrect instead of this we use "much less" or else "very little".
Question 139 
Choose the most appropriate alternative from the options given below to complete the following sentence:
Suresh’s dog is the one ––––––––– was hurt in the stampede.
that  
which  
who  
whom 
that can refer groups of things.
who can refer to people.
which can introduces a nonessential clause.
whom can refer to object of a verb (or) preposition.
Question 140 
Wanted Temporary, Parttime persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High Schoolpass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.
Which one of the following is the best inference from the above advertisement?
Genderdiscriminatory  
Xenophobic  
Not designed to make the post attractive  
Not genderdiscriminatory 
Question 141 
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x  0.1x^{2} where y is the height of the arch in meters. The maximum possible height of the arch is
8 meters  
10 meters  
12 meters  
14 meters 
y = 2x  0.1x^{2}
Differentiating both sides,
dy/dx = 2  0.2x
For maximum, dy/dx = 0
2  0.2x = 0
0.2x = 2
x = 10
Question 142 
An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
0.288  
0.334  
0.667  
0.720 
Probability that a shock absorber from Y is reliable = 0.4×0.72 = 0.288
Probability that a randomly selected reliable absorber is from Y is = 0.288/(0.576+0.288) = 0.334
Question 143 
Which of the following assertions are CORRECT?
 P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
P, Q  
Q, R  
P, R  
R, S 
⇒ P, R are correct
Question 144 
Given the sequence of terms: AD CG FK JP, the next term is
OV  
OW  
PV  
PW 
OV is the next term.
Question 145 
If Log (P) = (1/2) Log (Q) = (1/3) Log (R), then which of the following options is TRUE?
P^{2} = Q^{3}R^{2}  
Q^{2} = PR  
Q^{2} = R^{3}P  
R = P^{2}Q^{2} 
∴ P = b^{k}, Q = b^{2k}, R = b^{3k}
Now, Q^{2} = b^{4k} = b^{3k} b^{k} = PR
Question 146 
Choose the most appropriate word(s) from the options given below to complete the following sentence.
I contemplated ______________Singapore for my vacation but decided against it.
to visit  
having to visit  
visiting  
for a visit 
Question 147 
Choose the most appropriate word from the options given below to complete the following sentence.
If you are trying to make a strong impression on your audience, you cannot do so by being understated, tentative or __________.
hyperbolic  
restrained  
argumentative  
indifferent 
Question 148 
Choose the word from the options given below that is most nearly opposite in meaning to the given word:
Amalgamatemerge  
split  
collect  
separate 
Question 149 
Which of the following options is the closest in the meaning to the word below:
InexplicableIncomprehensible  
Indelible  
Inextricable  
Infallible 
Question 150 
P,Q,R and S are four types of dangerous microbes recently found in a human habit. The area of each circle with it diameter printed in brackets represents the growth of a single microbe surviving human immunity system with in 24 hours of entering the body. The danger to human begin varies proportionality with the toxicity, potency and growth attributed to a microbe show in the figure below
A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should be the company target in its first attempt?
P  
Q  
R  
S 
Question 151 
The variable cost (V) of manufacturing a product varies according to the equation V = 4q, where q is the quantity produced. The fixed cost (F) of production of same product reduces with q according to the equation F = 100/q. How many units should be produced to minimize the total cost (V+F)?
5  
4  
7  
6 
Question 152 
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?
4  
5  
6  
7 
2800 = 4n + e; n = normal
300 = 10n + 2; e = excess/pending
n = 100/3, e = 8000/3
5 days: 500 × (5⋅100/3) + 8000/3
Minimum possible = 6
Question 153 
A container originally contains 10 litres of pure spirit. Form this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again replaced with 1 litre of water and this process is repeated one more time. How much spirit is now left in the container?
7.58 litres  
7.84 litres  
7 litres  
7.29 litres 
Question 154 
Few school curricula include a unit on how to deal with bereavement and grief, and ye all students at some point in their lives suffer from losses through death and parting.
Based on the above passage which topic would not be included in a unit on bereavement?
how to write a letter of condolence  
what emotional stages are passed through in the healing process  
what the leading causes of death are  
how to give support to a grieving friend 
Question 155 
Choose the most appropriate word from the options given below to the complete the following sentence:
His rather casual remarks on politics ___________ his lack of seriousness about the subject.
masked  
belied  
betrayed  
suppressed 
Belied  Not appropriate to given
Betrayed  Most appropriate to given (Reveal intentionally)
Suppressed  Irrelevant to given
Answer is option C.
Question 156 
Which of the following options is closest in meaning to the word below:
Circuitouscyclic  
indirect
 
confusing  
crooked 
Question 157 
Choose the most appropriate word from the options given below to complete the following sentence:
If we manage to ____________ our natural resources, we would leave a better planet for our children.
uphold  
restrain  
cherish  
conserve 
Restrain  keep under control
Cherish  be fond of
Conserve  protect from harm i.e., keeping safety, loss of destruction
Answer is option d.
Question 158 
25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:
2  
17  
13  
3 
Total number of persons = a+b+c = 25 → (1)
Number of persons who play hockey = a+b = 15 → (2)
Number of persons who play football = b+c = 17 → (3)
Number of persons who play hockey and football = b = 10 → (4)
From (2) ⇒ a=5
From (3) ⇒ c=7
From (1) ⇒ d = 3
Number of persons who play neither hockey nor football = d = 3
Question 159 
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.
Unemployed: Workerfallow: land  
unaware: sleeper  
wit: jester  
renovated: house 
→ Same as a land which is not used called fallow.
Question 160 
If 137+276 = 435 how much is 731+672?
534  
1403  
1623  
1513 
(137)_{x} + (276)_{x} = (435)_{x}
x^{2} + 3x + 7 + 2x^{2} + 7x + 6 = 4x^{2} + 3x + 5
x^{2}  7x  8 = 0
x = 8 (or) 1
∴ x = 8 (1 cannot be a base)
(731)_{x} + (672)_{x} = (731)_{8} + ( 672)_{8}
= 7 × 8^{2} + 3× 8 + 1×1 + 6 × 8^{2} + 7 × 8 + 2 × 1
= 915
From the options, 915 can be written as 1623 in base 8.
Question 161 
Hari(H), Gita(G), Irfan(I) and Saira(S) are siblings (i.e., brothers and sisters). All were born on 1^{st} January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
 i. Hari's age + Gita's age > Irfan's age + Saira's age.
ii. The age difference between Gita and Saira is 1 year. However Gita is not the oldest and Saira is not the youngest.
iii. There are no twins.
In what order were they born (oldest first)?
HSIG  
SGHI  
IGSH  
IHSG 
Option A: HSIG
from (ii) , we can say that Gita and Saira are successive siblings.
Hence, option A is not true.
Option C: IGSH
In any of the above 4 cases, (i) is not true.
Hence, option C is not true.
Option D: IHSG
In any of the above 4 cases, (i) is not true.
Hence, option D is not true.
Option B: SGHI
In last two cases, all the facts are true.
∴ The order is SGHI.
Question 162 
Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments who think that chemical agents are useful tools for their cause.
Which of the following statements best sums up the meaning of the above passage:
Modern warfare has resulted in civil strife.  
Chemical agents are useful in modern warfare.  
Use of chemical agents in warfare would be undesirable.  
People in military establishments like to use chemical agents in war.

Question 163 
5 skilled workers can build a wall in 20 days: 8 semiskilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semiskilled and 5 unskilled workers, how long will it take to build the wall?
20  
10  
16  
15 
Capacity = 1/100
8 semiskilled workers can build the wall in 25 days
⇒ 1 semiskilled worker can build the wall in 200 days
Capacity = 1/200
10 unskilled workers can build the wall in 30 days
⇒ 1 unskilled worker can build the wall in 300 days
Capacity = 1/300
1 day work (2 skilled + 6 semiskilled + 5 unskilled) = 2(1/100) + 6(1/200) + 5(1/300) = 1/15
∴ They can complete the work in 15 days.
Question 164 
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?
50  
51  
52  
54 
⇒ First digit: 3 or 4
(i) First digit  3:
We have to choose 3 digits from (2, 2, 3, 3, 4, 4, 4, 4).
Any place can have either 2 or 3 or 4, but (222, 333) is not possible as we have only two 2's and two 3's.
Total = 3 × 3 × 3  2 = 25
(ii) First digit  4:
We have to choose 4 digits from (2, 2, 3, 3, 4, 4, 4, 4).
Any place can have either 2 or 3 or 4, but (222) is not possible we have only two 2's.
Total = 3 × 3 × 3  1 = 26
∴ Total number possible = 25 + 26 = 51
Question 165 
Two straight lines are drawn perpendicular to each other in XY plane. If α and β are the acute angles the straight lines make with the Xaxis, then α+β is ______.
60°  
120°  
180°  
90° 
We know a + α + β = 180
α + β = 180  90
α + β = 90
Question 166 
The total revenue of a company during 20142018 is shown in the bar graph. If the total expenditure of the company in each year is 500 million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during 20142018 is ______.
20% profit  
20% loss  
16.67% loss  
16.67% profit 
20142018
Total expenditure = 500 million/year = 500 × 5 = 2500 million
Revenue total (from the graph)
= 400 + 500 + 600 + 700 + 800
= 3000 million
Profit = 3000  2500 = 500
⟹ 500/2500 = 20% profit
Question 167 
The figure below shows an annular ring with outer and inner radii as b and a, respectively. The annular space has been painted in the form of blue colour circles touching the outer and inner periphery of annular space. If maximum n number of circles can be painted, then the unpainted area available in annular space is ______.
π[(b^{2}  a^{2}) + π/4(b  a)^{2}]  
π[(b^{2}  a^{2})  π/4(b  a)^{2}]  
π[(b^{2}  a^{2})  n(b  a)^{2}]  
π[(b^{2}  a^{2}) + n(b  a)^{2}] 
Area of nonpainted between 2 circles area of part 1 = πb^{2}  πa^{2} = π(b^{2}  a^{2})
Radius of painted circles = ba/2
Area of painted circle = π(ba/2)^{2}
For n circles = nπ(ba/2)^{2}
Nonpainted area = π[b^{2}  a^{2} n/4(b  a)^{2}]
Question 168 
Goods and Services Tax (GST) is an indirect tax introduced in India in 2017 that is imposed on the supply of goods and services, and it subsumes all indirect taxes except few. It is a destinationbased tax imposed on goods and services used, and it is not imposed at the point of origin from where goods come. GST also has a few components specific to state governments, central government and Union Territories (UTs).
Which one of the following statements can be inferred from the given passage?
GST includes all indirect taxes.
 
GST is imposed at the point of usage of goods and services.
 
GST does not have a component specific to UT.  
GST is imposed on the production of goods and services.

Question 169 
Select the word that fits the analogy:
Cook : Cook :: Fly : _____
Flyer  
Flying  
Flew  
Flighter 
FlyFlyer
Question 170 
The drawn of the 21st century witnessed the melting glaciers oscillating between giving too much and too little to billions of people who depend on them for fresh water. The UN climate report estimates that without deep cuts to manmade emissions, at least 30% of the northern hemisphere’s surface permafrost could melt by the end of the century. Given this situation of imminent global exodus of billions of people displaced by rising seas, nationstates need to rethink their carbon footprint for political concerns, if not for environmental ones.
Which one of the following statements can be inferred from the given passage?
Nationstates are responsible for providing fresh water to billions of people.  
Billions of people are affected by melting glaciers.
 
Nationstates do not have environmental concerns.  
Billions of people are responsible for manmade emissions. 
Question 171 
There are multiple routes to reach from node 1 to node 2, as shown in the network.
The cost of travel on an edge between two nodes is given in rupees. Nodes ‘a’, ‘b’, ‘c’, ‘d’, ‘e’, and ‘f’ are toll booths. The toll price at toll booths marked ‘a’ and ‘e’ is Rs.200, and is Rs.100 for the other toll booths. Which is the cheapest route from node 1 to node 2?
1fe2
 
1fb2  
1b2  
1ac2

1  f  e  2 ─ 100 + 100 + 200 = 400
1  f  b  2 ─ 100 + 0 + 200 = 300 ⇾ shortest [Answer]
1  b  2 ─ 300 + 200 = 500
1  a  c ─ 2  200 + 100 + 100 = 400
Question 172 
Raman is confident of speaking English _____ six months as he has been practicing regularly_____the last three weeks.
for, in  
during, for
 
for, since
 
within, for

Question 173 
If P = 3, R = 27, T = 243, then Q+S = ______.
80  
110  
40  
90 
P=3^{1}, Q=3^{2}, R=3^{3}, S=3^{4}, T=3^{5}
Q+S = 3^{2} + 3^{4} = 9+81 = 90
Question 174 
His knowledge of the subject was excellent but his classroom performance was ______.
good
 
praiseworthy  
extremely poor  
desirable

Question 175 
In a population of N families, 50% of the families have three children, 30% of the families have two children and the remaining families have one child. What is the probability that a randomly picked child belongs to a family with two children?
3/23  
6/23  
3/10  
3/5 
In that 50% of families having 3 children
i.e., 50×3 = 150 (No. of children)
→ Likes that 30% have 2 children = 30×2 = 60
→ 20% have 1 children = 20×1 = 20
Probability of choosing a children the family have two children
= 60/(150+60+20) = 60/230 = 6/23
Question 176 
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses.How many students have not taken any of the three courses?
15  
20  
25  
35 
PL = 125
DS = 85
CO = 65
PL & DS = 50
DS & CO = 35
CO & PL = 30
PL & DS & CO = 15
⇒ Not taken any course = 200  (60 +15+15+35+15+15+20)
= 200  175
= 25
Question 177 
Items  Cost (₹)  Profit %  Marked Price (₹) 
P  5,400    5,860 
Q    25  10,000 
25  
5  
10  
12.5 
Question 178 
37  
73  
21  
50 
Number of boys = 7x
Number of girls = 3x
Total number of students = 10x
So the possible value should multiple by 10.
Answer is 50.
Question 179 
Question 180 
Question 181 
Question 182 
Hospital, library  
Medicine, grammar  
Plan, outline  
Doctor, book 
Doctor is to surgery as writer is to book.
Question 183 
0.81225  
0.4235  
0.6976  
0.3024 
There are 5 bags having identical sets of 10 distinct chocolates. one chocolate is drawn from each bag, probability to find at least 2 chocolate is identical
The total number of such selections possible = 10*10*10*10*10 = 10^5.
We need to select such that at least two of them are identical.
We can count the number of ways with no chocolate being repeated and subtract it from total possible ways to get the required probability.
The number of ways to select all different/distinct = 10*9*8*7*6
Required number of selections= 10^510*9*8*7*6 = 69760
Required probability = 69760/10^5 = 0.69760
Question 184 
AOM are addressing the problem superficially.  
The proposed AOM addresses the core problems that cause obesity.  
AOM are addressing the core problems and are likely to succeed.  
If obesity reduces, poverty will naturally reduce, since obesity causes poverty. 
Question 185 
Only conclusion I is correct  
Only conclusion II is correct  
Neither conclusion I nor II is correct  
Either conclusion I or II is correct 
Question 186 
27.2%  
50.25%  
51.13%  
37.4% 
The arithmetic mean of attendance of Class A is 40%
Arithmetic mean of 49 students attendance of Class A is 49x40
The number of class B students are 53
The arithmetic mean of attendance of Class A is 35%
Arithmetic mean of 53 students attendance of Class A is 53x35
The percentage of arithmetic mean of attendance of class A and B is
= (40x49 + 35x53 )/ (49 + 53)=3815/102
= 37.40
Question 187 
14  
20  
21  
28 
→The number of diagonals of an nsided polygon is: n(n − 3) / 2.
→Examples:
Question 188 
On the second day, you walk at a speed of 3 km/hr for 2 kilometres, and at a speed of 5 km/hr for the remaining 2 kilometres and you take time T_{2} to reach office.
On the third day, you walk at a speed of 3 km/hr for 30 minutes, and at 5 km/hr for the remaining time and take time T_{3} to reach office.
What can you say about the ordering of T_{1}, T_{2} and T_{3}?
T_{1} > T_{2} and T_{1} < T_{3}.  
T_{1} = T_{2} = T_{3}  
T_{1} < T_{2} and T_{1} < T_{3}  
T_{1} = T_{2 } and T_{1} < T_{3}  
T_{1} < T_{2} and T_{1} = T_{3} 
Question 189 
1  
0  
11  
800 
I.1+ X = 1. So 1+(1+1…+1)= 1+(X)= 1
II.0+ X = X
Question 190 
25 paise  
5 paise  
10 paise  
cannot be determined 
It is easy to find that the can labeled 25 Paise must have 5 paise coins in it. So, the can labeled 10 Paise, must have 25 Paise coins in it.
Question 191 
6  
18  
36  
48 
Question 192 
1  
2  
1  
3 
Question 193 
3  
6  
8  
18 
Question 194 
1.333... kilograms  
1.5 kilograms  
1.666... kilograms  
2 kilograms  
cannot be determined from the given data 
Question 195 
12  
15  
20  
25  
24 
Let ‘x’ be the total distance,
Speed = distance/ time
Total speed = (total distance)/(total time); Time =distance/speed
Time taken for train journey = (x⁄2)/60kmph=x/120
Time taken for bus journey = (x⁄4)/30kmph=x/120
Time taken for cycle journey = (x⁄4)/10kmph=x/40
Total time = x/120+x/120+x/40=5x/120
Total speed = (total distance)/(total time)=x/(5x⁄120)=(120×x)/5x=24kmph
Question 196 
30 and 37 miles/hour  
40 and 42 miles/hour  
47 and 49 miles/hour  
None of the above 
Let d=the distance the faster car has traveled. Then it still has 100d miles to go, and the slow car has, therefore, gone 5005d miles. Let A and B be the rates of the fast and slow cars in mph. Then d/A = (5005d)/B = 2
We get B=2505B
Then AB=6f250
=(3A125).
But since AB is prime 3A125=1
hence A=42mph and B=40 mph
Question 197 
The age of a father is twice that of the elder son. After ten years the age of the father will be three times that of younger son. If the difference of ages of the two sons is 15 years then what will be the age of the father?
50  
54  
56  
58 
The age of father = 2E
Let the age of younger son = Y
Then according to question,
2E + 1 = 3(Y + 10)  (I)
and
E  Y = 15
Y = E  15 (II)
Putting (II) in (I),
2E + 10 = 3(E  15 + 10)
2E + 10 = 3(E  5)
2E + 10 = 3E  15
25 = E
∴ Age of father = 2E = 2 × 25 = 50
Question 198 
25^{th}  
26^{th}  
27^{th}  
28^{th} 
Now two boys joined, so now the total no. of students in the class is 47. Also the rank of boy now is 21.
So the new rank of boy from the end is,
47  21 + 1 = 26 + 1 = 27
Question 199 
V_{AY} < V_{BX}  
V_{AY} > V_{BX}  
V_{AY} = V_{BX}  
V_{AY} + V_{BX} = 30  
V_{AY} + V_{BX} = 20 
Question 200 
As a hint, there are exactly 8 ways in which 3 numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} can sum up to 15, shown as the three rows, the three columns, and the two diagonals in the following square:
8 1 6
3 5 7
4 9 2
Avni has a winning strategy  
Badal has a winning strategy  
Both of them have a winning strategy  
Neither of them has a winning strategy  
The player that picks 9 has a winning strategy 
Question 201 
Odd mod 2  
Even  
Even • Odd  
2Even − Odd  
2Odd − Even 
Question 202 
t/√2  
√2t  
2t  
h/t  
h/2t 
Question 203 
3.90 inches  
2√2 inches  
2√3 inches  
4.1 inches  
none of the above 
Question 204 
For n = 3, Bharat has a winning strategy. For n = 4, Aditi has a winning strategy  
For n = 7, Bharat has a winning strategy. For n = 8, Aditi has a winning strategy  
For both n = 3 and n = 4, Aditi has a winning strategy  
For both n = 7 and n = 8, Bharat has a winning strategy  
Bharat never has a winning strategy 
Question 205 
64  
65  
204  
144  
256 
Question 206 
(i) There will always be three points that lie on a straight line.
(ii) There will always be a line connecting a pair of points such that two points lie on one side of the line and one point on the other.
(iii) There will always be a pair of points which are at distance at most √2 from each other.
Which of the above is true:
(i) only  
(ii) only  
(iii) only  
(ii) and (iii)  
None of the above 
Question 207 
Claims:
1. No silver glitters.
2. Some gold glitters.
Then, which of the following is TRUE?
Only claim 1 follows  
Only claim 2 follows  
Either claim 1 or claim 2 follows but not both  
Neither claim 1 nor claim 2 follows  
Both claim 1 and claim 2 follow 
Question 208 
m + 1 divides m^{2n} − 1  
For any prime p, m^{p} ≡ m (modp)  
If one of m, n is prime, then there are integers x, y such that mx + ny = 1  
If m  
If 2^{n} − 1 is prime, then n is prime. 
Question 209 
Twenty five minutes past 4pm  
Twenty six and 122/143 minutes past 4pm  
Twenty seven and 1/3 minutes past 4pm.  
Twenty eight minutes past 4pm  
None of the above 
Question 210 
51:49  
1:1  
49:51  
51:98  
98:51 
Question 211 
VGKMM  
RIILI  
RIGOI  
RIGOR 
Question 212 
Suppose at the beginning of the game the list contains the following numbers: 48, 99, 120, 165 and 273. What is the score of the best player for this game?
40  
16  
33  
91  
123 
Question 213 
Here is a puzzle: find a number x such that x leaves a remainder of 9 when divided by 10, a remainder of 8 when divided by 9, a remainder of 7 when divided by 8, ... , a remainder of 2 when divided by 3 and a remainder of 1 when divided by 2.
How many such numbers are there?
0  
Exactly 1  
2```  
Infinite 
===>N+1=2520 (LCM of 1,2,3,....10)
or,N=2519
This property is satisfied by the number N=2520∗K−1, where K is a positive integer.
Question 214 
Car A takes less time than Car B  
Car B takes less time than Car A  
Both Cars A and B take the same time  
Cannot be determined from the data given 
= 200/40 + 200/50
= 5 + 4
= 9 hr
Time taken by car B for complete journey = t _{1} + t_{2}
= 200/45 + 200/45
= 8.88 hr
Car B takes less time than car A.
Question 215 
Which of the following is correctly represented by the Venn diagram above?
Elephants, Wolves, Animals  
Dogs, Cats, Pets  
Pigeons, Dogs, Birds  
Tables, Chairs, Furniture 
A) Can’t be the answer because all Elephants and Wolves are animals hence the diagram would be,
B) Yes, True. Because there are some dogs which are pets and there are some cats which are pets. Not all of them are pets. So in the given diagram naming will be,
C)Can’t be the answer because Dogs are not selected to be pigeons and birds.
D)Can’t be the answer because all Tables and chairs are furniture. Hence diagram will be same like (A).
Question 216 
Read the paragraphs below and answer Question.
When looking back on any kind of movement or revolution, one always likes to point to a beginning: "It began right there  it all started with soandso's famous speech ... " If structured
programming can be thought of as a revolution, then surely Dijkstra's landmark paper, "Programming Considered as a Human Activity," published in 1965, marks its beginning. Virtually
the entire gospel of structured programming is contained in a few short pages: the arguments
against goto statements, the notion of topdown design, the emphasis on program correctness
and quality (or "elegance," as Dijkstra prefers to call it), and the strong argument against programs that modify themselves.
In addition to these fundamental concepts, there are some rather classic phrases that first appeared in this paper, and that have poppedup in dozens of subsequent articles and books. For
example, when discussing the "divide and conquer" approach characterizing topdown design,
Dijkstra admits, "I have only a very small head, ,and must live with it." What seems obvious to us today was a rather novel idea in 1965: the idea that while computers were  and still are
 getting faster and more powerful, human beings weren't.
This theme is repeated again and again, and is essentially the entire subject matter of Dijkstra's
1972 speech, "The Humble Programmer." ... Once you do read it, you can see why Dijkstra has
the reputation he does. His writing is succinct and yet convincing. Reading Dijkstra, someone
said, has been compared to eating marzipan  it's best to take very small bites, chew slowly,
and digest the mouthful before moving on to the next bite.
What is said to have begun with Dijkstra's landmark paper, "Programming Considered as a Human Activity" in 1965?
Structured programming  
Programs which modify themselves that eventually led to viruses  
High salaries to programmers
 
Computer revolution 
“ If structured programming can be thought of as a revolution, then surely Dijkstra's landmark paper, "Programming Considered as a Human Activity," published in 1965, marks its beginning. ” , clearly the answer is (A) .
Question 217 
Read the paragraphs below and answer Question.
When looking back on any kind of movement or revolution, one always likes to point to a beginning: "It began right there  it all started with soandso's famous speech ... " If structured
programming can be thought of as a revolution, then surely Dijkstra's landmark paper, "Programming Considered as a Human Activity," published in 1965, marks its beginning. Virtually
the entire gospel of structured programming is contained in a few short pages: the arguments
against goto statements, the notion of topdown design, the emphasis on program correctness
and quality (or "elegance," as Dijkstra prefers to call it), and the strong argument against programs that modify themselves.
In addition to these fundamental concepts, there are some rather classic phrases that first appeared in this paper, and that have poppedup in dozens of subsequent articles and books. For
example, when discussing the "divide and conquer" approach characterizing topdown design,
Dijkstra admits, "I have only a very small head, ,and must live with it." What seems obvious to us today was a rather novel idea in 1965: the idea that while computers were  and still are
 getting faster and more powerful, human beings weren't.
This theme is repeated again and again, and is essentially the entire subject matter of Dijkstra's
1972 speech, "The Humble Programmer." ... Once you do read it, you can see why Dijkstra has
the reputation he does. His writing is succinct and yet convincing. Reading Dijkstra, someone
said, has been compared to eating marzipan  it's best to take very small bites, chew slowly,
and digest the mouthful before moving on to the next bite.
Which of the following is NOT a part of structured programming?
Elimination of goto statements
 
Topdown design  
Selfmodifying code  
Emphasis on elegance 
“Virtually the entire gospel of structured programming is contained in a few short pages: the arguments against goto statements, the notion of topdown design, the emphasis on program correctness and quality (or "elegance," as Dijkstra prefers to call it), and the strong argument against programs that modify themselves. ”
Option (C) is wrong, because we can see that it is saying that argument against programs that modify themselves, means not favouring the self modifying code.Hence option C is wrong.
Question 218 
Read the paragraphs below and answer Question.
When looking back on any kind of movement or revolution, one always likes to point to a beginning: "It began right there  it all started with soandso's famous speech ... " If structured
programming can be thought of as a revolution, then surely Dijkstra's landmark paper, "Programming Considered as a Human Activity," published in 1965, marks its beginning. Virtually
the entire gospel of structured programming is contained in a few short pages: the arguments
against goto statements, the notion of topdown design, the emphasis on program correctness
and quality (or "elegance," as Dijkstra prefers to call it), and the strong argument against programs that modify themselves.
In addition to these fundamental concepts, there are some rather classic phrases that first appeared in this paper, and that have poppedup in dozens of subsequent articles and books. For
example, when discussing the "divide and conquer" approach characterizing topdown design,
Dijkstra admits, "I have only a very small head, ,and must live with it." What seems obvious to us today was a rather novel idea in 1965: the idea that while computers were  and still are
 getting faster and more powerful, human beings weren't.
This theme is repeated again and again, and is essentially the entire subject matter of Dijkstra's
1972 speech, "The Humble Programmer." ... Once you do read it, you can see why Dijkstra has
the reputation he does. His writing is succinct and yet convincing. Reading Dijkstra, someone
said, has been compared to eating marzipan  it's best to take very small bites, chew slowly,
and digest the mouthful before moving on to the next bite.
Reading Dijkstra should be like eating marzipan  what does this mean?
His prose is very difficult to read like marzipan which should be eaten slowly to appreciate
its taste
 
His prose is so good that it should be read slowly to enjoy and understand it just like marzipan which should be eaten slowly to really enjoy its taste  
His prose is difficult and we cannot read it quickly just like eating marzipan whose taste is
so nasty that we can only eat small pieces
 
His prose is so good that it should be read all at once like swallowing something tasty 
Question 219 
76  
75*(5/7)
 
85*(5/7)  
86 
So, let the no. of boys = 4x
No. of girls = 3x
So, total no. of students = 7x
Now no. of boys who got scholarship = 0.1 × 4x = 0.4x
No. of girls who got scholarship = 0.2 × 3x = 0.6x
So no. of students who got scholarship = 0.4x + 0.6x = x
∴ No. of students who do not got scholarship = 7x  x = 6x
Hence the required percentage is,
6/7 × 100 = 85 (5/7)%
Question 220 
How many squares are there in the following figure?
14  
15  
17  
18 
No. of 1 box square = 10
No. of 4 box square = 3
For cross squares,
No. of 1 box square = 4
No. of 4 box square = 1
Hence, total no. of squares = 10 + 3 + 4 + 1 = 18
Question 221 
60  
80  
57  
51 
Now,
No. of members who casted votes + no. of members who not casted votes = x
(3x/4 + 3x/5  30) + 9 = x
27x/20  21 = x
7x/20 = 21
X = 60
Hence total no. of members who casted their votes
= 3x/4 + 3x/5  30
= 3/4 × 60 + 3/5 × 60  30
= 45 + 36  30
= 51
Question 222 
Answer Questions 24  26 based on the following information.
A, 'B, C, D, E and Fare 6 relatives. Their relationships are:
(a) B is the son of C, but C is not the mother of B
(b) D is the daughter of A
(c) F is the brother of B
(d) A and C are a married couple
(e) E is the brother of C
Who is the mother of B?
F  
E  
D  
A 
B is the son of C, but C is not the mother of B, means C is the father of B.
A and C are married couples, so since C is father of B, then definitely A is mother of B.
D is daughter of A, means B is brother of D or D is sister of B.
F is brother of B. So in total there are three children of A and C.
E is the brother of C. Means E is uncle of B, D and F.
Clearly, A is the mother of B.
Question 223 
Answer Questions 24  26 based on the following information.
A, 'B, C, D, E and Fare 6 relatives. Their relationships are:
(a) B is the son of C, but C is not the mother of B
(b) D is the daughter of A
(c) F is the brother of B
(d) A and C are a married couple
(e) E is the brother of C
How many children does A have?
1  
2  
3  
4 
B is the son of C, but C is not the mother of B, means C is the father of B.
A and C are married couples, so since C is father of B, then definitely A is mother of B.
D is daughter of A, means B is brother of D or D is sister of B.
F is brother of B. So in total there are three children of A and C.
E is the brother of C. Means E is uncle of B, D and F.
A have total three children,
D, B, F
Question 224 
Answer Questions 24  26 based on the following information.
A, 'B, C, D, E and Fare 6 relatives. Their relationships are:
(a) B is the son of C, but C is not the mother of B
(b) D is the daughter of A
(c) F is the brother of B
(d) A and C are a married couple
(e) E is the brother of C
Which of the following statements is/are TRUE?
E is D's uncle  
E is D's daughter  
F is E's son  
D and F are sisters 
B is the son of C, but C is not the mother of B, means C is the father of B.
A and C are married couples, so since C is father of B, then definitely A is mother of B.
D is daughter of A, means B is brother of D or D is sister of B.
F is brother of B. So in total there are three children of A and C.
E is the brother of C. Means E is uncle of B, D and F.
P∩F = {2,3,5}
Hence cardinality of P∩F = 3.
Question 225 
Words are sorted according to the following two rules applied in order: (a) nouns come before verbs, verbs come before adjectives, adjectives come before adverb; (b) a letter with less number of straight line segments comes before one with more straight lines, e.g., V (2 straight lines) comes before E (4 straight lines).
Given the words, ACADEMY, NEST, SUPERB. SUNDAY, NOTING, the correct ascending order is
NEST, SUNDAY, SUPERB, ACADEMY, NOTING  
SUNDAY, ACADEMY, NEST, NOTING, SUPERB  
SUNDAY, SUPERB, ACADEMY, NEST, NOTING
 
ACADEMY, NEST, NOTING, SUNDAY, SUPERB 
Question 226 
76  
88  
96  
None of the Above 
Question 227 
E  
L  
R  
S 
Question 228 
The following figure shows a ring containing 105 teeth inside which is a wheel with 80 teeth. The black dots  one on the wheel and one on the ring are initially aligned as shown. The wheel is now rotated anticlockwise along the ring with no slippage.After how many revolutions of the wheel will it return to the initial alignment?
5  
15  
21  
26 
Question 229 
400 × √3  
400  
400 × √2  
200 × √3  
500 
Question 230 
(i) What race is your lefthand neighbour?
(ii) What race is your righthand neighbour?
(iii) What race are you?
Here are their answers:
A: (i) White (ii) Pink (iii) Blue
B: (i) Pink (ii) Pink (iii) Blue
C: (i) White (ii) Blue (iii) Blue
What is the actual race of each of the three creatures?
A is Pink, B is White, C is Blue  
A is Blue, B is Pink, C is White  
A is Pink, B is Blue, C is Pink  
A is White, B is pink, C is blue  
Cannot be determined from the above data 
Question 231 
Although there are many different ways to triangulate ABC with the n points inside, the number of triangles depends only on n. In the above figure it is five. How many triangles are there in a triangulation of ABC with n points inside it?
3n − 1  
n^{2} + 1  
n + 3
 
2n + 1  
4n − 3 
Question 232 
5%  
12%  
15%  
3%  
24% 
Question 233 
81  
64  
52  
40  
It is not possible to determine the usual time from given data 
Question 234 
51:49  
1:1  
49:51  
51:98  
98:51

Question 235 
45  
135  
136  
198  
450 
Question 236 
Sunday  
Monday  
Wednesday  
Friday  
None of the others

Question 237 
10/11 hour  
11/12 hour  
12/13 hour  
19/22 hour  
One hour 
Question 238 
R^{2}/2  
π X R^{2}/2  
R^{2}  
2R^{2}  
None of the above 
Question 239 
1. The ball reaches the ground exactly 2 seconds after it is thrown up
2. The ball travels a total distance of 10 metres before it reaches the ground
3. The velocity of the ball when it hits the ground is 10 ms^{−1}
What can you say now?
Only Statement 1 is correct  
Only Statement 2 is correct  
Only Statement 3 is correct  
None of the Statements 1, 2 or 3 is correct  
All of the Statements 1, 2 and 3 are correct 
Question 240 
what is s0
81  
95  
100  
121  
190 
Question 241 
6  
7  
8  
3 
1, 2, 3, 6, 337, 674, 1011 and 2022
Question 242 
16  
14  
12  
13 
A ⟶ C
BC ⟶ D
AC ⟶ BE
B^{+ }= BACDE
A^{+} = ACBED
So A & B are candidate keys.
There is no partial dependency so in 2NF.
But in the BC⟶D, neither BC is key nor D is prime attribute hence not in 3NF.
Question 243 
1  
4  
13  
16 
Question 244 
5  
6  
7  
8 
Question 245 
(0,0,0)  
(1,1,0)  
(0,1,0)
 
(1,1,1) 
∴ The coordinates of the vertex which is diagonally opposite to the vertex whose coordinates are (1,0,1) is (0,1,0).
Question 246 
1  
1/pqr  
1  
pqr 
→ p^{x} = 1/q ⟹ 1/p^{x} = 1/q
⟹ q = p^{x}
⟹ log q = log p^{x}
⟹ x log p = log q
⟹ x = log q/ log p
→ q^{y} = 1/r ⟹ 1/q^{y} = 1/r
⟹ q^{y} = r
⟹ y log q = log r
⟹ y = log r/ log q
→ r^{z} = 1/p ⟹ 1/r^{z} = 1/p
⟹ p = r^{z}
⟹ log r^{z} = log p
⟹ z log r = log p
⟹ z = log p/ log r
XYZ = log q/ log p * log r/ log q * log p/ log r =1
Question 247 
7 litre  
7.21 litres  
7.29 litres  
7.31 litres

Question 248 
4187  
6047  
7987  
63847 
20 = 2x2x5
42 = 2x3x7
76 = 2x2x19
The LCM is 2x2x3x5x7x19 = 7980.
Next add 7 to 7980 to get 7987 as the answer.
Question 249 
1,2,5  
2,3,4  
1,3,4  
2,3,5 
No. of coins picked: 1 2 4 8 16
There are two types of weights of coin, i.e., 10gm and 11gm. And the total weight of picked coins is 323gm.
Let there be x number of 10gm coins and y number of 11gm coins.
So, 10x + 11y = 323  (1)
And we also know that total number of coins picked is
1 + 2 + 4 + 8 + 16 = 31 which is equal to x + y, so,
= 31  (2)
Solving equation (1) and (2), we get
y = 13
Means total there are 13 coins of 11gm.
Now we can choose bag number 1, 3 and 4, we will get a total sum of 13 coins picked from them.
So product of labelled bag number = 1×3×4 = 12
Question 250 
54  
64  
80  
60 
Question 251 
Between Chumley and Donald  
Between Donald and Senthil  
Between chumley and Kennel  
Between Kennel and Senthil 
C = Chumley
P = Peter
K = Kennel
D = Donald
S = Sentil
Now, according to question
S K D P C
So clearly Peter is sitting between Donals and Chumley.
Question 252 
Smith’s team  
Taiwa’s team  
David’s team  
Peter’s team 
P = Peter’s team
D = Davis’s team
S = Smith’s team
T = Taiwis team
Now, according to question
P > D
P < S
S > T
T < D
So looking at above four relation we can arrange them is descending order as,
S > P > D > T
So the team in the second place is Peter’s team
Question 253 
Use the following table to answer Questions 2628
Which year had the maximum pass percentages?
2014  
2015  
2016  
2017 
No. of students passed in PT = 0.45 × 2000 = 900
No. of students passed in FT = 0.05 × 200 = 10
∴ Total pass percentage = 910/2200 × 100 = 41.36%
For 2015,
No. of students passed in PT = 0.4 × 1600 = 640
No. of students passed in FT = 400 × 0.4 = 16
∴ Total pass percentage = 800/2000 × 100 = 40%
For 2016,
No. of students passed in PT = 0.4 × 1200 = 480
No. of students passed in FT = 400 × 0.7 = 280
∴ Total pass percentage = 760/1600 × 100 = 47.5%
For 2017,
No. of students passed in PT = 0.5 × 1000 = 500
No. of students passed in FT = 500 × 0.35 = 175
∴ Total pass percentage = 675/1500 × 100 = 45%
∴ 2016 had maximum pass percentage.
Question 254 
Use the following table to answer Questions 2628
Which year had the maximum number of students passing?
2014  
2015  
2016  
2017 
Question 255 
Use the following table to answer Questions 2628
Which year had the minimum number of students failing?
2014  
2015  
2016  
2017 
No. of students failed in 2014 = 2200910 = 1290
No. of students failed in 2015 = 2000800 = 1200
No. of students failed in 2016 = 1600760 = 840
No. of students passed in 2017 = 1500  675 = 825
Therefore minimum no. of students failed in the year 2017
Question 256 
PATKUBZ  
BZWIVYR  
BZWVIYR  
PTAKBZU 
Question 257 
22  
23  
25  
26 
x+2x = 90 => 3x = 90
x (Boys)= 30 ; 2x(Girls) = 60
Number of students behind Shridhar = 90 – 14 = 76
No of girls behind Shridhar = 60 – 10 = 50
No of boys behind Shridhar = 76 – 50 = 26
Question 258 
15  
20  
21  
40 
And let the age of the new students be x1and x2.
Now according to question,
A/10 = 14
A = 140
And, according to question,
Question 259 
Thumb  
Index Finger  
Middle Finger
 
Ring Finger 
Question 260 
(MD)/M+N days  
D/M((M +N) days  
D(D/M)*N days  
D(M/D)*N days 
More man means job will done faster so the new rate will be: (m+n)*(rate of 1 man) = m+n/d*m
Now convert this to m+r men by dividing top and bottom will take d*m/m+n
Question 261 
51  
52  
53  
57 
Total period is =4
Time gap after each period is = 5 minutes. First class starts at 10:00 am so total gap will be 5*3=15 minutes. Deduct gap from total academic minutes = 227 15=212
Total 4 periods we have given in the question so, 212/4= 53 minutes.
Question 262 
12  
24  
72  
19 
M W M W M
Where M represents men and W represents women.
Now three men can be arranged among themselves in 3! Ways and two women can be arranged in 2! ways.Hence the answer is 3! * 2! =12
Question 263 
8421  
2178  
8712  
None of the above 
A)8421 can never be the answer because anything multiplied by 4 is even no. and 8421 is odd no. So it cant be the answer.
B)1st no. is 2178 then 2nd no. will be 8712. And it is said that 1st no. is 4 times the 2nd no.
But we can see that 2178 != 4*8712
C)1st no. is 8712 then 2nd no. is 2178.And it is said that 1st no. is 4 times the 2nd no. And yes 8712 = 4*2178.Hence it is the answer.
Question 264 
13  
15  
17  
None of the above 
Let the age of Ram’s father = x
Let the age of Ram’s son = y
Now ATQ,
x = 5y (1)
8 + n = y + (x  n) (2)
x + n = 100 (3)
Solving three equations, we get
y = 13
Question 265 
25 KM  
23 KM  
19 KM  
17 KM 
Question 266 
Saturday  
Sunday  
Monday  
Tuesday 
Question 267 
made a profit of Rs. 10  
incurred a loss of Rs. 10  
incurred a loss of Rs. 12  
neither made profit nor incurred loss 
CP of another toy in which he made 20% loss is = 120/0.8 = 150
Hence total cost price = 100 + 150 = 250
And total selling price = 240
So he incurred a loss of = 250  240 = Rs.10
Question 268 
E  
0  
T  
I 
PROJECTION word gets the following numbers
P is 16, R is 18, O is15, T is 20, E is 5, C is 3, T is 20, I is 9, O is 15, N is 14
The letters O,E,C,I,O are in the odd positions 15,5,3 and 15 respectively
After arranging that letter alphabetical order ,C,E,I,O,O
Now substitute the above letters by Z,Y,X and so on then X will come in place of I.
Question 269 
25  
26  
27  
28 
Question 270 
Questions 19 and 20 are based on the following information: P and Q are brothers of R. Q is son of Sand T. S is daughter of U. A is fatherinlaw of T. B is son of U.
What is the relation of P to B?
Nephew  
Paternal uncle  
Niece  
Paternal aunt 
Question 271 
Questions 19 and 20 are based on the following information: P and Q are brothers of R. Q is son of Sand T. S is daughter of U. A is fatherinlaw of T. B is son of U.
What is the relation of P to A?
Grandson  
Son  
Daughter  
Father 
Question 272 
The distribution of students at Harvard University for the professional courses is given in Table 1. Answer questions 2428 based on the data provided in this table.
If 60% of boys and 70% of girls are successful in the courses taken by them, then what is the approximate combined pass percentage?
67.2  
64.1  
62  
68.5 
Out of which 70% of them passed. So, no. of girls which passed is
≅ 145 × 0.7 ≅ 101
Total no. of boys = 45 + 186 + 120 + 100 + 65 + 32 + 58 + 5 = 611
Out of which 60% of them passed.
So, no. of boys which passed is,
≅ 0.6 × 611 ≅ 366
Combined pass percentage
= 467/756 × 100
= 61.77
≅ 62%
Question 273 
The distribution of students at Harvard University for the professional courses is given in Table 1. Answer questions 2428 based on the data provided in this table.
Which course has the highest percentage of girls with respect to total number of students enrolled in that course?
Business Management  
Finance  
Computers  
Others 
% of girls enrolled = 50/160 × 100 = 31.25
For computers,
% of girls enrolled = 43/261 × 100 = 16.2
For Finance,
% of girls enrolled = 37/215 × 100 = 17.2
For others,
% of girls enrolled = 15/120 × 100 = 12.5
∴ Business management has the highest percentage of girls with respect to total number of students enrolled in that course.
Question 274 
The distribution of students at Harvard University for the professional courses is given in Table 1. Answer questions 2428 based on the data provided in this table.
The percentage of girl engineers doing Business Management is approximately
15%  
40%  
30%  
25% 
Out of which no. of girl engineers is, 25.
Hence the required percentage is, (25/160 ) x 100 ≅ 15
Question 275 
The distribution of students at Harvard University for the professional courses is given in Table 1. Answer questions 2428 based on the data provided in this table.
By what percentage is the number of students doing Computers more than the number of students doing Business Management?
67.2  
63.1  
62  
68.5 
No. of students doing business management course = 160
Hence the required percentage
=(261160)/160=(101/160)x100=63.1%
Question 276 
The distribution of students at Harvard University for the professional courses is given in Table 1. Answer questions 2428 based on the data provided in this table.
Taking all courses together, by what percentage does the number of boys exceed the number of girls?
521.4%  
231.4%  
321.4%  
421.4% 
Total no. of girls = 25 + 23 + 25 + 12 + 25 + 20 + 12 + 3 = 145
Hence the required percentages is,
611145/145 ≅ 321.4%
Question 277 
576  
567  
513  
504 