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MCQ on Number Series

Number Series:

A number series in reasoning is a sequence of numbers or letters that follow a specific pattern. The goal is to identify the missing or incorrect number in the series.

The arrangement of numbers in a certain order, in which some numbers are placed wrongly in the series and some numbers are missing is called a number series. Based on calculating the addition and subtraction of the numbers, candidates have to observe and find the accurate number to the series of numbers.

There is no set pattern for number series reasoning, and each question may follow a different type of pattern. Some types of number series include:

Addition series: The next number is obtained by removing specific integers based on a pattern.

Subtraction series: The numbers follow a pattern, and the candidate must identify the missing or incorrect number.

Division series: The type of a particular number is divided to get the next number.

Square series: Each number is a perfect square of a particular number pattern.

Cube series: The series consists of cubes of numbers in the same order, and the candidate must locate the missing or odd cube number.

Arithmetic series: The next term is obtained by adding or subtracting a constant number to the previous term.

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

A) 7

B) 10

C) 12

D) 13


Correct Answer: b
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
  1. Look at this series: 36, 34, 30, 28, 24, … What number should come next?

A) 20

B) 22

C) 23

D) 26


Correct Answer: b
This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
  1. Look at this series: 3, 4, 7, 8, 11, 12, … What number should come next?

A) 7

B) 10

C) 14

D) 15


Correct Answer: d
This alternating addition series begins with 3;
then 1 is added to give 4;
then 3 is added to give 7;
then 1 is added, and so on.
  1. Look at this series: 14, 28, 20, 40, 32, 64, … What number should come next?

A) 52

B) 56

C) 96

D) 128


Correct Answer: b
This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.
  1. Look at this series: 2, 6, 18, 54, … What number should come next?

A) 108

B) 148

C) 162

D) 216


Correct Answer: c
This is a simple multiplication series. Each number is multiplied by 3
  1. Look at this series: 8, 6, 9, 23, 87, … What number should come next?

A) 128

B) 226

C) 324

D) 429


Correct Answer: d
8×1−2 = 6
6×2−3 = 9
9×3−4 = 23
23×4−5 = 87
87×5−6 = 429 …
  1. Find what number would come in place of the question mark(?).

2, 5, 12.5, ?, 78.125, 195.3125

A) 31.25

B) 40.25

C) 32.5

D) 21


Correct Answer: a
If you observe the pattern, then you can see
2×2.5 = 5
5×2.5 = 12.5
12.5×2.5 = 31.2
531.25×2.5 = 78.125
78.125×2.5 = 195.3125
Hence, the correct answer is 31.25
  1. Find what number would come in place of the question mark(?).

-10, -8, 6, 40, 102, ?

A) 105

B) 117

C) 216

D) 200


Correct Answer: d

Observing patterns carefully you will find that this question belongs to the category of square series.
−10+(22– 2) = −8
−8+(42– 2) = 6
6+(62–2) = 40
40+(82–2) = 102
102+(102–2) = 200
Hence, the correct answer is 200.

  1. Find what number would come in place of the question mark(?).

25, 49, 121, 169, ?

A) 225

B) 256

C) 289

D) 361


Correct Answer: c

Observing patterns carefully, you will observe that, this series is based on two concepts one is squares and the other is a prime number.

5^2 = 25
7^2 = 49
11^2 = 121
13^2 = 169
17^2 = 289

  1. Find the number that will come in the place of the question mark in the given series

4, 18, ? , 100, 180, 294, 448

A) 62

B) 86

C) 38

D) 48


Correct Answer:
Observing the pattern carefully you will find that this question belongs to the category of squares (^) and cube series.

2^3–2^2 = 8–4 = 4
3^3–3^2 = 27–9 = 18
4^3–4^2 = 64–16 = 48
5^3–5^2 = 125–25 = 100
6^3–6^2 = 216–36 = 180
7^3–7^2 = 343–49 = 294
8^3–8^2 = 512–64 = 448

Hence 48 would be our answer, as it is the number that would come in place of a question mark.