50 Aptitude & Reasoning MCQs with Answers

Question 1

Were you a bird, you ______________ in the sky.

• A. would fly
• B. shall fly
• C. should fly
• D. shall have flown

Answer: (A)

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

Answer: (D)

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

Answer: (C)

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

Answer: (A)

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

Answer: (B)

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

Answer: (D)

See http://www.thefreedictionary.com/conserve

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

Answer: (A)

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

Answer: (C)

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

Answer: (A)

"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

Answer: (A)

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