Aptitude
Question 1 
Ten freiends 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
Question 2 
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 3 
The search engine's business model _____ around the fulcrum of trust.
bursts  
revolves  
sinks  
plays 
Question 4 
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 5 
a syllabus  
a student  
a punishment  
a school 
Question 6 
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 7 
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 8 
"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 9 
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 10 
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 11 
∠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 12 
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 13 
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 14 
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 15 
“From where are they bringing their books? __________ bringing __________ books from __________.”
The words that best fill the blanks in the above sentence areTheir, they’re, there  
They’re, their, there  
There, their, they’re  
They’re, there, there 
Question 16 
"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 17 
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 18 
What is the missing number in the following sequence?
2880  
1440  
720  
0 
2 × 6 = 12
12 × 5 = 60
60 × 4 = 240
240 × 3 = 720
720 × 2 = 1440
1440 × 0 = 0
Question 19 
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
Method II:
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 20 
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 21 
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 22 
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 23 
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 24 
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 25 
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 26 
“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 27 
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 28 
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 29 
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 30 
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 31 
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 32 
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 33 
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 34 
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 35 
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 36 
“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 37 
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 38 
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 39 
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 40 
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 41 
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 42 
A rewording of something written or spoken is a ______________.
paraphrase  
paradox  
paradigm  
paraffin 
Question 43 
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 44 
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 45 
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 46 
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 47 
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 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.  
Indian currency notes have sufficient space for all the Indian languages.  
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 
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 52 
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 53 
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 54 
Pick the odd one from the following options.
CADBE  
JHKIL  
XVYWZ  
ONPMQ 
But in D, 2nd and 4th are in decreasing order.
Question 55 
n^{4}  
4^{n}  
2^{2n1}  
4^{n1} 
Product of roots (α, β) = 4
⇒ αβ = 4
(αβ)^{n} = 4^{n}
Question 56 
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 57 
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 58 
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 59 
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 60 
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 61 
Didn’t you buy _________ when you went shopping?
any paper  
much paper  
no paper  
a few paper 
Question 62 
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 63 
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 64 
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 65 
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 66 
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 67 
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 68 
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 69 
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 70 
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 71 
Statement I alone is not sufficient  
Statement II alone is not sufficient  
Either I or II alone is 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 72 
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 73 
fabric  
textile  
fibre  
apparel 
Question 74 
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 75 
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 
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 78 
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 79 
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 80 
5.34  
6.74  
28.5  
45.49 
Question 81 
Θ(nlog n)  
Θ(n)  
Θ(log n)  
Θ(1) 
Question 82 
related  
extraneous  
outside  
useful 
Question 83 
59  
45  
43  
35 
Question 84 
Mr., was, found, on  
a, was, found, at  
the, was, found, on  
a, being, find at 
Question 85 
VXDQ  
VZDQ  
VZDP  
UXDQ 
S+3=V, W+3=Z, A+3=D, N+3=Q.
Question 86 
Adult: Orthopedist  
Females: Gynecologist  
Kidney: Nephrologist  
Skin: Dermatologist 
Question 87 
2006  
2007  
2008  
2009 
Increase in imports in 2006 = 120  90/90 = 33.3% which is more than any other year.
Question 88 
PHome, QPower, RDefense, STelecom, TFinance  
RHome, SPower, PDefense, QTelecom, TFinance  
PHome, QPower, TDefense, STelecom, UFinance  
QHome, UPower, TDefense, RTelecom, PFinance 
Question 89 
x=yy
 
x=(yy)  
x=y+y
 
x=(y+y) 
Then the Answer is x =  (y  y)
Question 90 
(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 severral times  (iii) is True
Question 91 
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 92 
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 93 
superb  
medium  
mediocre  
exhilarating 
Question 94 
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 95 
96  
97  
98  
99 
Question 96 
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 97 
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 98 
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 
Question 99 
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 100 
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 101 
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 102 
“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 103 
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 104 
3x + 2y = 1 4x + 7z = 1 x + y + z = 3 x – 2y + 7z = 0The 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 105 
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 106 
you said  
did you say  
did you say that  
had you said 
Question 107 
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 108 
90  
100  
110  
120 
Average = 10+20+30+...+180+190 / 19 = (19/2 [10+190]) / 19 = 100
Question 109 
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 110 
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 111 
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 112 
2, 4  
2, 14  
4, 52  
14, 52 
x^{2}  2x + 3 = 11, x is real
x^{2}2x+3 = 11
x^{2}2x+8 = 0
(x4)(x+2) = 0
x = 4, 2
x^{2}2x+3 = 11
x^{2}2x+14 = 0
x is not real in this case.
x^{3}+x^{2}x
when x=2
⇒ (2)^{3}+(2)^{2}(2)
= ((8) + (4) + 2 = 14
x=4
⇒ (4)^{3}+(4)^{2}(4)
= 64 + 16 4
= 52
Possible values of x^{3}+x^{2}x include 14, 52.
Question 113 
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 
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 
I  
II  
III  
IV 
Question 116 
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 
sticky  
wellconnected  
rambling  
friendly 
Rambling = lengthy and confused (or) inconsequential
Question 118 
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 
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 
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 ohers. So this is not correct option.
Question 121 
(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 
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 
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 
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 
Highest  
Lowest  
Medium  
Integration 
Question 126 
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 
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 
would fly  
shall fly  
should fly  
shall have flown 
Question 129 
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 
7  
8  
9  
10 
Multiply on numerator & denominator
=1+9
=8
Question 131 
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 
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 
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 
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 
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 
attempts  
setbacks  
meetings  
delegations 
Despite several setbacks the mission succeeded in its attempt to resolve the conflict.
Question 137 
Diminish  
Divulge  
Dedicate  
Denote 
Synonyms = Diminish, alleviate, reduce etc.
Question 138 
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 
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 
Genderdiscriminatory  
Xenophobic  
Not designed to make the post attractive  
Not genderdiscriminatory 
Question 141 
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 
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 
P, Q  
Q, R  
P, R  
R, S 
⇒ P, R are correct
Question 144 
OV  
OW  
PV  
PW 
OV is the next term.
Question 145 
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 
to visit  
having to visit  
visiting  
for a visit 
Question 147 
hyperbolic  
restrained  
argumentative  
indifferent 
Question 148 
merge  
split  
collect  
separate 
Question 149 
Incomprehensible  
Indelible
 
Inextricable  
Infallible 
Question 150 
P  
Q  
R  
S 
Question 151 
5  
4  
7  
6 
Question 152 
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 
7.58 litres  
7.84 litres  
7 litres  
7.29 litres 
Question 154 
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 
masked  
belied
 
betrayed  
suppressed

Belied  Not appropriate to given
Betrayed  Most appropriate to given (Reveal intentionally)
Suppressed  Irrevalent to given
Answer is option C.
Question 156 
cyclic  
indirect
 
confusing  
crooked 
Question 157 
uphold  
restrain  
cherish  
conserve 
Restrain  keep under control
Cherish  befond of
Conserve  protect from harm i.e., keeping safety, loss of destruction
Answer is option d.
Question 158 
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 
fallow: land  
unaware: sleeper  
wit: jester  
renovated: house 
→ Same as a land which is not used called fallow.
Question 160 
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 
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 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 
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 
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 
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?
In that 50% of families having 3 childrens
i.e., 50×3 = 150 (No. of children)
→ Likes that 30% have 2 childrens = 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 166 
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