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# Number Series Interview Questions and Answers

Question - 1 : -
Find the missing number in the series?
4, 18, ?, 100, 180, 294, 448

A) 48 B) 50
C) 58 D) 60

A) 48

Explanation:
Take a Look at this series :

23 - 22 =  8 - 4 = 4
33 - 32 = 27 - 9 = 18
43 - 42 = 64 - 16 = 48
53 - 52 = 125 - 25 = 100
63 - 62 = 216 - 36 = 180
73 - 72 = 343 - 49 = 294
83 - 82 = 512 - 64 = 448

Question - 2 : -
Find the wrong number in the series.
1, 2, 6, 15, 31, 56, 91

A) 31 B) 15
C) 56 D) 91

D) 91

Explanation:
The difference of the two consecutive numbers are 1, 4, 9, 16, 25, 35.

This is clearly , +(12), +(22), +(32), +(42), +(52),+(62

Here 35 is wrong, So our wrong number is 91

Question - 3 : -
Find the missing number in the following series?
3, 5, 5, 19, 7, 41, 9, ?

A) 71 B) 61
C) 79 D) 69

A) 71

Explanation:
Fiest series : 3, 5, 7, 9
Second series : 5, 19, 41, ?
Difference of Second series are 14, 22, 30 etc
Next term is 41+30 i.e equal to 71

Question - 4 : -
What should come in place of question mark (?) in the following number series?
132     156     ?      210      240       272

A) 196 B) 182
C) 199 D) 204

B) 182

Explanation:
The given series follows a logic that
11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,...
So the missing number is 13 x 14 = 182

Question - 5 : -
Find the wrong number in the given series.
8, 27, 125, 343, 1381

A) 27 B) 8
C) 343 D) 1381

D) 1381

Explanation:
Given series follows Cubes on Prime Numbers
i.e 23, 33, 53,...but  93is 1331
so 1381 is wrong

Question - 6 : -
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

A. (1/3)
B. (1/8)
C. (2/8)
D. (1/16)

B

Explanation:
This is a simple division series; each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.

4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.

Question - 7 : -
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

A. 7
B. 10
C. 12
D. 13

B

Explanation:
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.

Question - 8 : -
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?

A. 20
B. 22
C. 23
D. 26

B

Explanation:
This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.

Question - 9 : -
Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?

A. 22
B. 24
C. 25
D. 26

C)  25

Explanation:
In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.

Question - 10 : -
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

A. 12
B. 14
C. 27
D. 53

B)  14

Explanation:
In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

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