6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $x^{2} + kx + k = 0$ has no solution, then the value of k will satisfy

A) k < 4	B) k > -4
C) k > 4	D) 0 < k < 4

Answer & Explanation Answer: D) 0 < k < 4

Explanation:

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7 102304

Q:

3125 256 ? 4 1

Which number replaces the "?" in the question?

A) 27	B) 128
C) 32	D) 64

Answer & Explanation Answer: A) 27

Explanation:

In the given series numbers are arranged following the rule,

$5^{5}, 4^{4}, 3^{3}, 2^{2}, 1^{1}$

Therefore, the missing number is 27.

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18 101773

Q:

Find the unit digit of the expression

$31^{2} + 32^{2} + 33^{2} + 34^{2} + 35^{2} + 36^{2} + 37^{2} + 38^{2} + 39^{2}$

A) 1	B) 4
C) 5	D) 9

Answer & Explanation Answer: C) 5

Explanation:

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2 100902

Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144	B) 169
C) 225	D) 339

Answer & Explanation Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share = Rs. (378 * 8/21) = Rs. 144.

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148 100545

Q:

Find out the wrong number in the given sequence of numbers.

582, 605, 588, 611, 634, 617, 600

A) 634	B) 611
C) 605	D) 600

Answer & Explanation Answer: A) 634

Explanation:

Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.

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47 100014

Q:

Find the odd number out of the following number series?

2 4 8 11.5 18.25 28.375

A) 18.25	B) 28.375
C) 11.5	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

Hence, the odd number in the given number series is 8.

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17 100007

Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142	B) 181
C) 156	D) 179

Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

$1^{2} + 2^{2} = 5$

$3^{2} + 4^{2} = 25$

$5^{2} + 6^{2} = 61$

$7^{2} + 8^{2} = 113$

SO NEXT IS, $9^{2} + 10^{2} = 181$

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14 99914

Q:

7 9 19 18 31 29

Find the odd number in the given Number Series?

A) 31	B) 29
C) 18	D) 19

Answer & Explanation Answer: B) 29

Explanation:

Here the given number series follows a pattern of two alternate series.

1. 7 19 31 ...(Difference of 12)

2. 9 18 27 ...(Difference of 9)

Here the odd number is 29 instead of 27

And the next number is 31 + 12 = 43 & 27 + 9 = 36

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13 99794

Quantitative Aptitude - Arithmetic Ability Questions

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