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Question 1 
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?
A  3/23 
B  6/23 
C  3/10 
D  3/5 
Question 2 
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?
A  15 
B  20 
C  25 
D  35 
Question 3 
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 ______.
A  60° 
B  120° 
C  180° 
D  90° 
Question 4 
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 ______.
A  20% profit 
B  20% loss 
C  16.67% loss 
D  16.67% profit 
Question 5 
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 ______.
A  π[(b^{2}  a^{2}) + π/4(b  a)^{2}] 
B  π[(b^{2}  a^{2})  π/4(b  a)^{2}] 
C  π[(b^{2}  a^{2})  n(b  a)^{2}] 
D  π[(b^{2}  a^{2}) + n(b  a)^{2}] 
Question 6 
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?
A  GST includes all indirect taxes.

B  GST is imposed at the point of usage of goods and services.

C  GST does not have a component specific to UT. 
D  GST is imposed on the production of goods and services.

Question 7 
Select the word that fits the analogy:
Cook : Cook :: Fly : _____
A  Flyer 
B  Flying 
C  Flew 
D  Flighter 
Question 8 
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?
A  Nationstates are responsible for providing fresh water to billions of people. 
B  Billions of people are affected by melting glaciers.

C  Nationstates do not have environmental concerns. 
D  Billions of people are responsible for manmade emissions. 
Question 9 
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?
A  1fe2

B  1fb2 
C  1b2 
D  1ac2

Question 10 
Raman is confident of speaking English _____ six months as he has been practicing regularly_____the last three weeks.
A  for, in 
B  during, for

C  for, since

D  within, for

Question 11 
If P = 3, R = 27, T = 243, then Q+S = ______.
A  80 
B  110 
C  40 
D  90 
Question 12 
His knowledge of the subject was excellent but his classroom performance was ______.
A  good

B  praiseworthy 
C  extremely poor 
D  desirable

Question 13 
A  fair / fare

B  faer / fair

C  fare / fare

D  fare / fair

Question 14 
A  5/6 
B  6/5 
C  13/6 
D  6/13 
Question 15 
A  51 
B  51 
C  126 
D  126 
Question 16 
A  Statement 1 and Statement 3 
B  Statement 1 and Statement 2 
C  Statement 2 and Statement 4 
D  Statement 3 and Statement 4 
Question 17 
A  
B  
C  
D 
Question 18 
A  Metrics are useful in organizations with poor work culture 
B  Metrics are useful in organizations with good work culture 
C  Metrics are always counterproductive in organizations with good work culture 
D  Metrics are never useful in organizations with good work culture 
Question 19 
A  Equal number of boys and girls qualified 
B  Equal number of boys and girls appeared for the test 
C  The number of boys who appeared for the test is less than the number of girls
who appeared

D  The number of boys who qualified the test is less than the number of girls who
Qualified

Question 20 
A  1/2 
B  8/25 
C  19/50 
D  23/50 
Question 21 
A  P cannot be placed at a corner 
B  S cannot be placed at a corner 
C  U cannot be placed at a midpoint 
D  R cannot be placed at a corner 
Question 22 
A  2 
B  4 
C  5 
D  3 
Question 23 
Out of a group of 21 persons, 9 eat vegetables, 10 eat fish and 7 eat eggs : 5 persons eat all three. How many persons eat at least two out the three dishes?
A  Theory Explanation. 
Question 24 
A  Listening to music has no effect on learning and a positive effect on physical exercise. 
B  Listening to music has a clear positive effect on physical exercise. Music has a positive effect on learning only in some students. 
C  Listening to music has a clear positive effect both on physical exercise and on learning. 
D  Listening to music has a clear positive effect on learning in all students. Music has a positive effect only in some students who exercise. 
From the first statement “Listening to music during exercise improves exercise performance and reduces discomfort. “ It is clear that listening to music has a positive effect on physical exercise.
From the statement “Scientists researched whether listening to music while studying can help students learn better and the results were inconclusive. “ it is clear that only on some students music has a positive effect.
Question 25 
A  
B  
C  
D 
Question 26 
A  as worse as 
B  as well as 
C  as better as 
D  as nicest as 
Question 27 
A  Vegetables 
B  Sharp 
C  Blunt 
D  Cut 
Question 28 
A  66 
B  22 
C  88 
D  110 
Given Initial ratio : 3:13:6
Total number of students initially = 3x+13x+6x = 22x
From the given question, we can write 3x+18 = 15y I
13x+18 = 35yII
6x+18 = 21yIII
I  II => 10X = 20Y
X=2YIV
Put IV in III => 6(2y) + 18 = 21y
12y + 18 = 21y
9y = 18
y = 2 V
Substitute V in I => 3x + 18 = 30
3x = 12
x = 4
Number of initial students = 22x = 22(4) = 88
Question 29 
A  1:1 
B  3:4 
C  1:2 
D  4:3 
According to the given data:
Year Cost/unit Number of units Cost Price
1 ₹ 3 100 300
2 ₹ 2 200 400
3 ₹ 1 300 300
Cost Price = Cost/unit x Number of units
Net Profit = Selling Price  (Cost Price + (Tax% x selling price )
Year 2:
296 = SP  (400 + (13/100) x SP)
=>296 = 0.87SP  400
=> 0.87SP = 696
=> SP = ₹ 800
Year 3:
210 = SP  (300 + (15/100) x SP)
=> 210 = 0.85SP  300
=> 0.85SP = 510
=> SP = ₹ 600
The ratio of selling price in Year 2 to the selling price in year 3 = 800:600
= 4:3
Question 30 
A  
B  
C  
D 
Question 31 
A  2 
B  4 
C  8 
D  6 
Expand the given equation:
x^{2}+1/4  x x^{2 }9/4 +3x = x+2
=> 2 + 2x = x + 2
X = 4
Question 32 
A  
B  
C  
D 
Question 33 
A  S 
B  P 
C  T 
D  R 
Question 34 
A  (i) is grammatically incorrect and (ii) is ambiguous 
B  (i) is grammatically correct and (ii) is ambiguous 
C  (i) is grammatically correct and (ii) is unambiguous 
D  (i) is grammatically incorrect and (ii) is unambiguous 
Question 35 
Items  Cost (₹)  Profit %  Marked Price (₹) 
P  5,400    5,860 
Q    25  10,000 
A  25 
B  5 
C  10 
D  12.5 
Question 36 
A  37 
B  73 
C  21 
D  50 
Question 37 
A  
B  
C  
D 
Question 38 
A  
B  
C  
D 
Question 39 
A  
B  
C  
D 
Question 40 
A  Hospital, library 
B  Medicine, grammar 
C  Plan, outline 
D  Doctor, book 
Question 41 
A  0.81225 
B  0.4235 
C  0.6976 
D  0.3024 
Question 42 
A  AOM are addressing the problem superficially. 
B  The proposed AOM addresses the core problems that cause obesity. 
C  AOM are addressing the core problems and are likely to succeed. 
D  If obesity reduces, poverty will naturally reduce, since obesity causes poverty. 
Question 43 
A  Only conclusion I is correct 
B  Only conclusion II is correct 
C  Neither conclusion I nor II is correct 
D  Either conclusion I or II is correct 
Question 44 
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?
A  Statement I alone is not sufficient 
B  Statement II alone is not sufficient 
C  Statement II alone is not sufficient 
D  Both statements I and II together are not sufficient. 
Question 45 
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
A  0, 1 
B  1, 0 
C  0, 1 
D  1, 2 
Question 46 
A generic term that include various items of clothing such as a skirt, a pair of trousers and a shirt is
A  fabric 
B  textile 
C  fibre 
D  apparel 
Question 47 
Choose the statement where underlined word is used correctly.
A  The industrialist load a personnel jet.

B  I write my experience in my personnel diary. 
C  All personnel are being given the day off. 
D  Being religious is a personnel aspect. 
Question 48 
We __________________ our friend’s birthday and we ______________ how to make it up to him.
A  Completely forgot    don’t just know

B  Forgot completely    don’t just know 
C  Completely forgot    just don’t know 
D  Forgot completely    just don’t know 
Question 49 
In a triangle PQR, PS is the angle bisector of ∠QPR and ∠QPS = 60º. What is the length of PS?
A  (q+r)/qr 
B  qr/(q+r) 
C  √(q^{2} + r^{2}) 
D  (q+r)^{2} /qr 
Question 50 
Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.
A  Since the report lacked needed information, it was of no use to them.

B  The report was useless to them because there were no needed information in it.

C  Since the report did not contain the needed information, it was not real useful to them 
D  Since the report lacked needed information, it would not have been useful to them. 