50 Aptitude & Reasoning MCQs with Answers

  • Last Updated : 23 Feb, 2022


Question 1
Were you a bird, you ______________ in the sky.
A
would fly
B
shall fly
C
should fly
D
shall have flown
GATE CS 2013    English    50 Aptitude & Reasoning MCQs with Answers    
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Question 1 Explanation: 
Were you a bird, you would fly in the sky. See http://grammar.ccc.commnet.edu/grammar/conditional2.htm
Question 2
Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?
A
13/90
B
12/90
C
78/90
D
77/90
GATE CS 2013    Probability    50 Aptitude & Reasoning MCQs with Answers    
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Question 2 Explanation: 
There are total 90 two digit numbers, out of them 13 are divisible by 7, these are 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98. Therefore, probability that selected number is not divisible by 7 = 1 - 13/90 = 77/90. So, option (D) is true.
Question 3
If the difference between expectation of the square of a random variable (E[X²]) and the square of the expectation of the random variable (E[X])² is denoted by R, then?
A
R = 0
B
R < 0
C
R >= 0
D
R > 0
GATE CS 2011    Probability    50 Aptitude & Reasoning MCQs with Answers    
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Question 3 Explanation: 
The difference between  (E[X²]) and (E[X])² is called variance of a random variable.  Variance measures how far a set of numbers is spread out. (A variance of zero indicates that all the values are identical.) A non-zero variance is always positive:
Question 4
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card?
A
1/5
B
4/25
C
1/4
D
2/5
GATE CS 2011    Probability    50 Aptitude & Reasoning MCQs with Answers    
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Question 4 Explanation: 
You have to select 2 cards from 5. Since the order in which they are drawn matters, there are 5P2 = 5!/3! = 20 elementary events from which there are 4 favorable number of cases: 5 before 4, 4 before 3, 3 before 2 and 2 before 1. Hence, probability = 4/20 = 1/5   Source: http://clweb.csa.iisc.ernet.in/rahulsharma/gate2011key.html
Question 5
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_____________.
A
Hyperbolic
B
Restrained
C
Argumentative
D
Indifferent
GATE CS 2011    English    50 Aptitude & Reasoning MCQs with Answers    
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Question 5 Explanation: 
The word placed should be similar to understated and tentative. Restrained seems to be the best choice.
Question 6
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.
A
uphold
B
restrain
C
cherish
D
conserve
GATE CS 2010    English    50 Aptitude & Reasoning MCQs with Answers    
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Question 6 Explanation: 
Question 7
Let X be a random variable following normal distribution with mean +1 and variance 4. Let Y be another normal variable with mean -1 and variance unknown If P(X <=-1) = P(Y >=2). the standard deviation of Y is
A
3
B
2
C
sqrt(2)
D
1
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Question 7 Explanation: 
 X(1, 4), Y(-1, \triangledown^{2})  P(X\leq -1) Z = \frac{-1-1}{2} = -1  = P(Z< \leq -1) = P(Z \geq 1) = 0.5 - P(0<Z<1)  = 0.5 -0.3413 = 0.1587  If \triangledown = 3, then \hspace{0.2cm} P(Z\geq 2), Z=\frac{2+1}{3} = 1  = P(Z\geq 1) = 0.1587
Question 8
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 __________.
A
superb
B
medium
C
mediocre
D
exhilarating
GATE-CS-2014-(Set-1)    English    50 Aptitude & Reasoning MCQs with Answers    
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Question 8 Explanation: 
Here, superb and exhilarating would imply that the performance was brilliant. But, the fact that he could not understand why she got awarded the first prize indicates that her performance was not that amazing in his opinion. So, A and D are incorrect. Medium is more used as a noun, and denoted intermediate in quality, value, etc. So, B is incorrect Mediocre is used as an adjective (to represent quality) and means low in performance, i.e., normal and not extraordinary  and C is the correct choice.
Question 9
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 
A
1:S, 2:P, 3:Q, 4:R
B
1:P, 2:Q, 3:R, 4:S
C
1:Q, 2:R, 3:S, 4:P
D
1:S, 2:P, 3:R, 4:Q
GATE-CS-2014-(Set-2)    English    50 Aptitude & Reasoning MCQs with Answers    
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Question 9 Explanation: 
"eradicate" means "destroy utterly" "distort" matches with "misrepresent" "saturate" matches with "soak completely" "utilize" matches with "use"
Question 10
The probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is ______ .
A
0.259
B
0.459
C
0.325
D
0.225
GATE-CS-2014-(Set-2)    Probability    50 Aptitude & Reasoning MCQs with Answers    
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Question 10 Explanation: 
There are total 100 numbers, out of which 

50 numbers are divisible by 2, 
33 numbers are divisible by 3,
20 numbers are divisible by 5

Following are counted twice above
16 numbers are divisible by both 2 and 3
10 numbers are divisible by both 2 and 5
6 numbers are divisible by both 3 and 5

Following is counted thrice above
3 numbers are divisible by all 2, 3 and 5
So total numbers divisible by 2, 3 and 5 are = = 50 + 33 + 20 - 16 - 10 - 6 + 3 = 103 - 29 = 74 So probability that a number is number is not divisible by 2, 3 and 5 = (100 - 74)/100 = 0.26
There are 50 questions to complete.
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