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 47133

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 47064

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 46985

Q:

Read the data given and answer the following questions

In a class of 60 students:

42 like Maths,

32 like English,

12 like neither Maths nor English

Students who like only Maths forms what percentage of the total number of students in the class?

A) 26.67%	B) 24.22%
C) 28.80%	D) 32.82%

Answer & Explanation Answer: A) 26.67%

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

0 46863

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 46801

Q:

$Find the surface area (in {cm}^{2}) of a sphere of diameter 28 cm .$

A) 3422	B) 3852
C) 2464	D) 3550

Answer & Explanation Answer: C) 2464

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

4 46703

Q:

What will come in place of the question mark (?) in the following number series?

17, 98, 26, 89, 35, ?

A) 80	B) 75
C) 67	D) 53

Answer & Explanation Answer: A) 80

Explanation:

1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , GATE

2 46512

Q:

Three unbiased coins are tossed.What is the probability of getting at least 2 heads?

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

Answer & Explanation Answer: B) 1/2

Explanation:

Here S= {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}.

Let E = event of getting at least two heads = {THH, HTH, HHT, HHH}.

P(E) = n(E) / n(S)

= 4/8= 1/2

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Filed Under: Probability

92 46436

Quantitative Aptitude - Arithmetic Ability Questions

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