6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 20%	B) 30%
C) 40%	D) 50%

Answer & Explanation Answer: D) 50%

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x/2 and New breadth=3y

New area = $\frac{3}{2} x y$

Therefore, Increase in area = New area-original area = $\frac{3}{2} x y - x y = \frac{1}{2} x y$

Therefore, Increase % = $\frac{i n c r e a s e i n a r e a}{o r i g i n a l a r e a} * 100 = (\frac{\frac{1}{2} x y}{x y}) * 100 = 50$ %

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

47 46996

Q:

Determine the value of m for which $4 x + \frac{\sqrt{x}}{6} + \frac{m^{2}}{4}$ is a perfect square.

A) 1/24	B) 1/12
C) 12	D) 24

Answer & Explanation Answer: B) 1/12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 46988

Q:

What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

A) 23	B) 31
C) 29	D) 37

Answer & Explanation Answer: C) 29

Explanation:

87)13601(156
87
-----
490
435
-----
551
522
-----
29
-----
Required number is 29.

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Filed Under: Numbers

195 46967

Q:

$∆$ DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

A) 1 - √2	B) 1/√3
C) (2 - √3)/2√3	D) (2 - 2√3)/√3

Answer & Explanation Answer: B) 1/√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 46946

Q:

The ratio of the present ages of P and Q is 3 : 4. Five years ago, the ratio of their ages was 5 : 7. Find their present ages.

Answer

As the ratio of their present ages is 3 : 4 , let their present ages be 3X and 4X.

So, 5 years ago, as the ratio of their ages was 5 : 7, we can write (3x-5) : (4x-5) = 5 : 7. Solving, we get X = 10. Hence, their present ages are 3X = 30 and 4X = 40

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Subject: Problems on Ages

209 46889

Q:

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A) 135	B) 63
C) 125	D) 64

Answer & Explanation Answer: B) 63

Explanation:

Required number of ways = $(7 C_{5} * 3 C_{2}) = (7 C_{2} * 3 C_{1}) = 63$

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Filed Under: Permutations and Combinations

52 46668

Q:

What will come in place of question mark in the following equation ?

54.(?)3 + 543 + 5.43 = 603.26

A) 6	B) 1
C) 9	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Missing digit = 8..

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Filed Under: Decimal Fractions

11 46638

Q:

Select the figure which does not belong to the group.

A) A	B) B
C) C	D) D

Quantitative Aptitude - Arithmetic Ability Questions

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