6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the next number in the number series?

6, 6, 9, 18, 45, ?

A) 87	B) 99.75
C) 115.5	D) 135

Answer & Explanation Answer: D) 135

Explanation:

The given number series is 6, 6, 9, 18, 45, ?

Here the series follows a pattern that,

6

6 x 1 = 6

6 x 1.5 = 9

9 x 2 = 18

18 x 2.5 = 45

45 x 3 = 135

Hence, the next number in the given number series is 135.

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Filed Under: Odd Man Out
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8 78417

Q:

If $19 x^{2} = 100^{2} - 90^{2}$ , then find the value of x.

A) 10	B) 9
C) 11	D) 12

Answer & Explanation Answer: A) 10

Explanation:

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Filed Under: Simplification
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1 78363

Q:

12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

A) 8	B) 12
C) 16	D) 24

Answer & Explanation Answer: B) 12

Explanation:

1 man's 1 day work =1/96 ; 1 woman's 1 day work = 1/192

Work done in 6 days= $6 (\frac{8}{96} + \frac{8}{192}) = 6 \times \frac{1}{8} = \frac{3}{4}$

Remaining work = 1/4

(8 men +8 women)'s 1 day work = $1 (\frac{8}{96} + \frac{8}{192})$ =1/8

Remaining work =1/4 - 1/8 = 1/8

1/96 work is done in 1 day by 1 man

Therefore, 1/8 work will be done in 1 day by 96 x (1/8) =12 men

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Filed Under: Time and Work

327 78192

Q:

At what rate percent per annum will a sum of money double in 8 years.

A) 12.5%	B) 13.5%
C) 11.5%	D) 14.5%

Answer & Explanation Answer: A) 12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

We know that S.I. = PTR/100

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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Filed Under: Simple Interest
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469 78057

Q:

If z = 6 - 2√3, then find the value of ${(\sqrt{z} - \frac{1}{\sqrt{z}})}^{2}$ .

A) 102 - 4634	B) 102 - 4632
C) 102 - 46324	D) 12 - 46324

Answer & Explanation Answer: C) 102 - 46324

Explanation:

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0 77946

Q:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2	B) 2:1
C) 11:24	D) 36:121

Answer & Explanation Answer: B) 2:1

Explanation:

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1.

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Filed Under: Ratios and Proportions
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345 77811

Q:

What is the value of (sin45 - √3) ?

A) (1-√6)/√2	B) (4-√3)/2√3
C) -1/2√3	D) (2-√3)/2√3

Answer & Explanation Answer: A) (1-√6)/√2

Explanation:

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Filed Under: Simplification
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0 77760

Q:

Find the odd one in the given series ?

5-20-25, 10-40-50, 4-15-24, 25-100-125

A) 4-15-24	B) 5-20-25
C) 10-40-50	D) 25-100-125

Answer & Explanation Answer: A) 4-15-24

Explanation:

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.

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Quantitative Aptitude - Arithmetic Ability Questions

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