6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64	B) 57
C) 29	D) 14

Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ?

It follows a pattern that,

$96 96 - 1^{2} = 95 95 - 2^{3} = 95 - 8 = 87 87 - 3^{2} = 87 - 9 = 78 78 - 4^{3} = 78 - 64 = 14$

Hence, the next number in the given number series is 14.

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Filed Under: Odd Man Out
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3 71243

Q:

Given that $(a^{2} + b^{2}) = 60$ , then find the value of ${(a + b)}^{2} + {(a - b)}^{2}$ ?

A) 90	B) 120
C) 140	D) 150

Answer & Explanation Answer: B) 120

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 71016

Q:

A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A) 14 cms	B) 21 cms
C) 42 cms	D) None of these

Answer & Explanation Answer: B) 21 cms

Explanation:

3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

5.25 meters=525 cm = 5 × 5 × 3 × 7

Hence common factors are 3 and 7

Hence LCM = 3 × 7 = 21

Hence largest size of square tiles that can be paved exactly with square tiles is 21 cm.

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Filed Under: HCF and LCM

169 70961

Q:

1, 2, 8, 33, ?

Find the next number in the given series?

A) 148	B) 145
C) 143	D) 141

Answer & Explanation Answer: A) 148

Explanation:

1 x 1 + 1 x 1 = (1 + 1) = 2

2 x 2 + 2 x 2 = (4 + 4) = 8

8 x 3 + 3 x 3 = (24 + 9) = 33

33 x 4 + 4 x 4 = (132 + 16) = 148

148 x 5 + 5 x 5 = (740 + 25) = 765.

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10 70640

Q:

Select the number pair that does not belong in the following group.

(1,1), (4,64), (8,512), (9,719)

A) (1,1)	B) (8,512)
C) (9,719)	D) (4,64)

Answer & Explanation Answer: C) (9,719)

Explanation:

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0 70363

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 70187

Q:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes	B) 19 minutes
C) 22 minutes	D) 24 minutes

Answer & Explanation Answer: C) 22 minutes

Explanation:

Let the two conditioners be A and B

'A' cools at 40min

'B' at 45min

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

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Filed Under: Time and Work
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95 70010

Q:

X boys can do a piece of work in 24 days. In how much time (in days), 2X boys will do half of the work?

A) 6	B) 12
C) 18	D) 8

Quantitative Aptitude - Arithmetic Ability Questions

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