3100+ Mental Ability Reasoning Questions and Answers with Explanation

Q:

If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m₁ = -p

m₂= -3

The condition for the two lines to be parallel is m₁=m₂

p = 3

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Q:

Five students P, Q, R, S and T are sitting on a bench. Q is to the left of P and right of T. S is at the extreme right end and R is to the left of S. Who is sitting third from the left?

A) P	B) Q
C) R	D) T

Answer & Explanation Answer: A) P

Explanation:

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Q:

What replaces "?" in the below figure?

k11482901675.jpg image

A) 35	B) 34
C) 26	D) 24

Answer & Explanation Answer: C) 26

Explanation:

Here $\frac{14 \times 15}{21}$ = 10 and $\frac{32 \times 14}{28}$ = 16

In the same way $\frac{24 \times 26}{24}$ = 26.

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Q:

If × means ÷, - means ×, ÷ means + and + means- than (3 - 15 ÷ 19) × 8 + 6 = ?

A) 8	B) 4
C) 2	D) -1

Answer & Explanation Answer: C) 2

Explanation:

By the given data, we have the expression :

(3 × 15 + 19) ÷ 8 - 6 = (45 + 19) ÷ 8 - 6 = 64 ÷ 8 - 6 = 8 - 6 = 2

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Filed Under: Mathematical Operations

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Q:

In the following question, one term in the number series is wrong. Find out the wrong term.
3, 10, 27, 4, 16, 64, 5, 25, 125

A) 3	B) 4
C) 10	D) 27

Answer & Explanation Answer: C) 10

Explanation:

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Q:

9 tens 10 ones equals

A) 910	B) 90
C) 91	D) 100

Answer & Explanation Answer: D) 100

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

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Q:

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

A) 991/16 %	B) 900/19 %
C) 874/13 %	D) 719/17 %

Answer & Explanation Answer: B) 900/19 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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Q:

7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty 9 sitting chairs, how many chairs would have been still empty if everyone in the hall was sitting?

A) 15	B) 12
C) 18	D) 10

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