6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

FInd the odd man out of the given series of numbers?

120, 36, 6, 2, 1, 1

A) 120	B) 36
C) 6	D) 2

Answer & Explanation Answer: B) 36

Explanation:

The given number series is 120, 36, 6, 2, 1, 1

120

120/5 = 24 (not 36)

24/4 = 6

6/3 = 2

2/2 = 1

1/1 = 1

Hence, the odd man in the given number series is 24.

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Q:

Fill in the blanks

sinA = _____ x cosA

A) sinA	B) tanA
C) cotA	D) cosA

Answer & Explanation Answer: B) tanA

Explanation:

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1 61544

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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Q:

Find out the wrong term in the following number series.

4, 16, 37, 58, 81.

A) 16	B) 37
C) 81	D) 4

Answer & Explanation Answer: C) 81

Explanation:

The series follows the following pattern.

4

16 = $4^{2}$

37 = $1^{2} + 6^{2}$

58 = $3^{2} + 7^{2}$

81 $\neq 5^{2} + 8^{2}$ .

Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

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5 61516

Q:

In each of these questions, two equations (I) and (II) are given.

$I . 2 x^{2} + 19 x + 42 = 0 II . 4 y^{2} + 43 y + 30 = 0$

A) x > y	B) x < y
C) x ≥ y	D) x ≤ y

Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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2 61431

Q:

(51 + 52 + 53 + .........+100) is equal to

Answer

51 + 52 + 53 + ...........+ 100

= (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)

= It is in the form of $\frac{n (n + 1)}{2} s e r i e s s u m m a t i o n$

= n1 = 100 , n2 = 50

= $[\frac{100 (100 + 1)}{2}] - [\frac{50 (50 + 1)}{2}]$

= (5050 - 1275) = 3775

Workspace

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300 61409

Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5	B) 11.5
C) 12.5	D) 13.5

Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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103 61405

Q:

Find the next number in the given series ?

3, 7, 6, 5, 9, 3, 12, 1, 15, . . .

A) 2	B) 0
C) 1	D) -1

Answer & Explanation Answer: D) -1

Explanation:

3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series

1) 3, 6, 9, 12, 15.....

2) 7, 5, 3, 1, .....

-1 is the next number.

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Quantitative Aptitude - Arithmetic Ability Questions

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