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CAT 2025 » CAT Study Material » Data Interpretation and Logical Reasoning » Types of Number Series
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Types of Number Series

What are Types of Number Series, Subtraction Series, Multiplication Series, Fibonacci Series and many other things.

Table of Content
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A number series is a collection of numbers that follow a pattern. Candidates must locate the missing or incorrect number in the given series. In some problems, one of the terms in the supplied series may be wrong, and candidates must figure out which term is faulty by identifying the pattern involved in the series’ creation.

Each question may follow a particular form of pattern or sequential arrangement of characters or digits, which applicants must detect using their common sense and thinking abilities. We have divided the number series reasoning part into numerous sorts based on the different types of questions that are asked in various competitive tests.

What is a number series?

A number series is a number-based sequence. We will have to discover the laws that lead to the construction of a number series in the number series questions. These series come in a variety of forms, as do the questions that may arise from them.

Types of Number Series 

Let’s take a look at the many types of inquiries that might be asked one by one.

  1. Addition Series 

Specific numbers depending on some pattern are added to get the following number in this type of number series explanation.

  1. Subtraction Series

In this type of number series reasoning, specific numbers based on some pattern are subtracted to get the next number.

  1. Multiplication Series 

A specific form of number pattern is multiplied to acquire the next number in this type of number series logic.

  1. Division Series 

A specific form of number pattern is divided to produce the next number in this type of number series logic.

  1. Square Series 

Each number is a perfect square of a particular number pattern in this form of number series reasoning.

  1. Cube Series 

Each number is a perfect cube of a particular number pattern in this form of number series reasoning.

  1. Fibonacci Series

Fibonacci numbers are a fascinating number series in which each element is formed by adding two preceding elements, and the sequence begins with 0 and 1. F0 = 0 and F1 = 1 and Fn = Fn-1 + Fn-2 as the sequence.

  1. Alternating Series 

Multiple number patterns are utilised alternately to build a series in this style of number series reasoning.

  1. Series of Mixed Operators

Multiple operators are used to get the next number in the series in this type of number series reasoning.

  1. Arranging Number 

Candidates must rearrange numbers as indicated and then answer the problems in this sort of number series reasoning.

 Number Series Question Tricks and Tips

Candidates can use the strategies and tactics listed below to help them answer questions in the Number Series reasoning portion.

Tip # 1: To get the correct answer, candidates must first determine the process involved in the given series, such as addition, subtraction, multiplication, division, and so on.

Tip # 2: To discover the correct answer for arranging type number series, applicants must rearrange the given series using multiple procedures.

Sample Questions from the Number Series

1st question: 3, 6, 11, 18, 27, ?, 51 (based on addition series)

The following is the solution to the series.

3 + 3 = 6

6 + 5 = 11

11 + 7 = 18

18 + 9 = 27

27 +11 = 38

38 + 13 = 51

As a result, the right response is 38.

Question 2: What are the numbers 50, 45, 40, 35, and 30? (based on a succession of subtraction)

The following is the solution to the series.

50 – 5 = 45

45 – 5 = 40

40 – 5 = 35

35 – 5 = 30

30 – 5 =25

As a result, the right response is 25.

Question 3: 5, 11, 24.2, 53.24,?, 257.6816 (based on multiplication series)

The following is the solution to the series.

5 x 2.2 = 11

11 x 2.2 = 24.2

24.2 x 2.2 = 53.24

53.24 x 2.2 = 117.128

117.128 x 2.2 = 257.6816

As a result, 117.128 is the correct answer.

Question 4: 4096, 1024, 256, 16, 4 (based on division series)

The following is the solution to the series.

4096 / 4 = 1024

1024 / 4 = 256

256 / 4 = 64

64 / 4 = 16

16 / 4 = 4

As a result, the proper response is 64.

Question 5: 49, 121, 169, 361 (based on square series)

The following is the solution to the series.

7^ 2 = 49

11^ 2 = 121

13 ^ 2 = 169

17 ^ 2 = 289

19 ^ 2 = 361

As a result, the proper response is 289.

Question 6: 8, 64, 216,?, 1000 (based on cube series)

The following is the solution to the series.

2 ^ 3 = 8

4 ^ 3 = 64

6 ^ 3 = 216

8 ^ 3 = 512

10 ^ 3 = 1000

As a result, 512 is the correct answer.

Conclusion:-

Children who comprehend number sequencing are better able to estimate time and understand terms such as half an hour later or an hour sooner. Children are also taught geometric thinking through number sequencing.

faq

Frequently asked questions

Get answers to the most common queries related to the CAT Examination Preparation.

What is the incorrect number sequence?

Answer:  A number series is a collection of numbers that follow a logical or ...Read full

What is the series in reasoning?

Answer: A series is a continuous succession of numbers, letters, or words obta...Read full

What is series completion?

Answer: A sequence of terms following a specified pattern will be supplied wit...Read full

What is a number series in quantitative aptitude?

Answer: Number series aptitude problems present you with logically ordered mat...Read full

What number should come after 1 4 9 16 at the end of this series?

Answer: Informally, a square number, often known as a perfect square or simply...Read full

Answer:  A number series is a collection of numbers that follow a logical or mathematical pattern. Wrong Number Series questions appear frequently in IBPS PO, SO, SBI Clerk, and SBI SO examinations. They’re mostly found in the quantitative area and come in a variety of formats.

Answer: A series is a continuous succession of numbers, letters, or words obtained via the application of a previously determined rule. It is possible to determine the next term of the series using that established rule.

Answer: A sequence of terms following a specified pattern will be supplied with some missing terms in questions on number and alphabet Series Completion. The test-taker must recognise the pattern that the terms follow and extend it to find the missing term in the series.

Answer: Number series aptitude problems present you with logically ordered mathematical sequences based on basic arithmetic. A series of numbers termed ‘terms’ is offered in these questions, with one or more missing elements (s).

Answer: Informally, a square number, often known as a perfect square or simply “a square,” is the result of multiplying an integer (a “whole” number, positive, negative, or zero) with itself. 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on are examples of square numbers.

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