6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Calculate the area (in cm2) of a circle whose diameter is 7 cm.

A) 38.5	B) 77
C) 32.5	D) 65

Answer & Explanation Answer: A) 38.5

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 66583

Q:

Simplify the following expression?

40% of ( $\frac{24}{4} x ?$ ) = 48

A) 24	B) 22
C) 20	D) 18

Answer & Explanation Answer: C) 20

Explanation:

We know that

$40 % = \frac{40}{100} = \frac{2}{5} \Rightarrow \frac{2}{5} x \frac{24}{4} x ? = 48 ? = \frac{48 x 5 x 4}{2 x 24} = 20$

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

3 66505

Q:

If ${(x - 7)}^{2} + {(y + 10)}^{2} + {(z - 6)}^{2} = 0$ , then find the value of x + y + z.

A) 1	B) 3
C) 5	D) 7

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 66214

Q:

If $x^{2} + kx + k = 0$ , has two distinct real solutions, then the value of k will satisfy

A) k<0 or k>4	B) k>4 only
C) 0<k<4	D) k<0 only

Answer & Explanation Answer: A) k<0 or k>4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 65873

Q:

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?

A) 196	B) 186
C) 190	D) 200

Answer & Explanation Answer: B) 186

Explanation:

When at least 2 women are included.

The committee may consist of 3 women, 2 men : It can be done in $4 C_{3} * 6 C_{2}$ ways

or, 4 women, 1 man : It can be done in $4 C_{4} * 6 C_{1}$ ways

or, 2 women, 3 men : It can be done in $4 C_{2} * 6 C_{3}$ ways.

Total number of ways of forming the committees

= $4 C_{2} * 6 C_{3} + 4 C_{3} * 6 C_{2} + 4 C_{4} * 6 C_{1}$

= 6 x 20 + 4 x 15 + 1x 6

= 120 + 60 + 6 =186

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Filed Under: Permutations and Combinations

88 65812

Q:

Which of the following statement(s) is/are TRUE?

I . $\frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + . . . + \frac{1}{11 \times 13} = \frac{12}{13}$

II. $\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + . . . + \frac{1}{12 \times 13} = \frac{12}{13}$

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: B) Only II

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 65730

Q:

Relation Between Efficiency and Time

A is twice as good a workman as B and is therefore able to finish a piece of work in 30 days less than B.In how many days they can complee the whole work; working together?

Answer

Ratio of times taken by A and B = 1 : 2.

The time difference is (2 - 1) 1 day while B take 2 days and A takes 1 day.

If difference of time is 1 day, B takes 2 days.

If difference of time is 30 days, B takes 2 x 30 = 60 days.

So, A takes 30 days to do the work.

A's 1 day's work = 1/30

B's 1 day's work = 1/60

(A + B)'s 1 day's work = 1/30 + 1/60 = 1/20

A and B together can do the work in 20 days.

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Subject: Time and Work

255 65664

Q:

Find the odd word/letters/number pair from the given alternatives.

(A) 16-28

(B) 20-30

(C) 30-40

(D) 40-50

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

Quantitative Aptitude - Arithmetic Ability Questions

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