6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the odd man out of the following number sequence?

100, 101, 97, 105, 90

A) 90	B) 105
C) 97	D) 101

Answer & Explanation Answer: B) 105

Explanation:

The given number series 100, 101, 97, 105, 90

100

100 + 1^2 = 101

101 - 2^2 = 97

97 + 3^2 = 106 ( not 105)

106 - 4^2 = 90

Hence, the odd man in the given series is 105.

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Filed Under: Odd Man Out
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1 70919

Q:

Find the Missing number in the given number series?

5, 9, 15, 23, ?, 45

A) 33	B) 29
C) 31	D) 35

Answer & Explanation Answer: A) 33

Explanation:

The given series follows a pattern that,

+4, +6, +8, +10, +12...

5

5 + 4 = 9

9 + 6 = 15

15 + 8 = 23

23 + 10 = 33

33 + 12 = 45

Hence, the missing number in the series is 33.

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Filed Under: Odd Man Out
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3 70859

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 70851

Q:

For how many positive integers 'n', $n^{3} - 8 n^{2} + 20 n - 13$ is a prime?

A) 3	B) 2
C) 5	D) 7

Answer & Explanation Answer: A) 3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 70835

Q:

Consider the following statements:

1) The number of circles that can be drawn through three non-collinear points is infinity.

2) Angle formed in minor segment of a circle is acute.

Which of the above statements is/are correct?

A) 1 only	B) 2 only
C) Both 1 and 2	D) Neither 1 nor 2

Answer & Explanation Answer: D) Neither 1 nor 2

Explanation:

(1)

Only one circle can be drawn through 3 non collinear points

Angle in the minor segment is always obtuse

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

0 70811

Q:

Find the missing number in the given number series?

2676, 445, ?, 21,6, 2, 1

A) 88	B) 92
C) 96	D) 102

Answer & Explanation Answer: A) 88

Explanation:

The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that,

From right side,

1

1 x 1 + 1 = 2

2 x 2 + 2 = 6

6 x 3 + 3 = 21

21 x 4 + 4 = 88

88 x 5 + 5 = 445

445 x 6 + 6 = 2676

Hence the missing number in the given number series is 88.

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Filed Under: Odd Man Out
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5 70614

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 69722

Q:

A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

A) 4 months	B) 5 months
C) 6 months	D) 8 months

Answer & Explanation Answer: D) 8 months

Explanation:

Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

Quantitative Aptitude - Arithmetic Ability Questions

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