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CAT 2025 » CAT Study Material » Data Interpretation and Logical Reasoning » What is Coded Inequality
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What is Coded Inequality

In this article, we will learn about the coded inequality, types of inequality, tips to solve coded inequalities and some solved examples.

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The term “coded inequality” refers to a collection of components that are each indicated by their own unique coding relationship. In the reasoning portion of banking examinations, coded inequalities questions frequently appear. A candidate needs to recall only the most fundamental mathematical processes in order to score well on this topic. In coded inequalities, the normal mathematical procedures that are applied include addition, subtraction, division, multiplication, and comparing values to those that are greater than or less than. Changing the coded signs to their real equivalents and then calculating the resulting equations is the most effective method for solving coded inequality problems. 

Coded Inequality

Expressions that contain inequality signs such, >, =, and others are considered to be examples of inequality reasoning. Candidates need to be familiar with the various signs that are used in questions of this nature in order for them to be able to understand the questions that are based on mathematical inequalities. In addition to these sorts of inequality, there are many others, all of which are going to be covered in this essay.

The questions in this section are typically of an easy difficulty level. 

As was indicated earlier, expressions that contain inequality signs such as,<, >, =, and other similar symbols are referred to as having an inequality. Candidates need to be familiar with the various signs that are used in questions of this nature in order for them to be able to understand the questions that are based on mathematical inequalities. The same is presented in the following: 

Symbol

Meaning

A > B

A is greater than B

A < B

A is less than B

A = B

A is equal to B

A ≥ B

A is either greater than or equal to B

A ≤ B

A is either less than or equal to B

A ≠ B

A is either greater than or less than B

Types of Inequality 

Since we are now aware of what the questions in the inequality reasoning part consist of, we can now begin to prepare. Let us take a look at the many distinct kinds of questions that may be posed in the following order: 

Basic Inequality

In this sort of inequality reasoning, expressions will be supplied that consist of comparisons between distinct items, and a defined connection will be asked to be established between any two elements. 

Either – or Case

In this sort of inequality reasoning, it is not possible to establish a solid relation between the two components being discussed. In this kind of inquiry, you will only be given two relations, and either relation 1 or relation 2 could be true based on those two relations. 

Coded Inequality

In this form of reasoning about inequality, inequality symbols will be given codes, and the expression will be supplied using those codes. Candidates are required to decipher the symbols and determine the connection between the various components. 

Tips to Solve Coded Inequality Questions

In order to assist applicants in their preparation for the coded inequality quiz that will be included in bank exams, we have provided the following tips and tricks:

  • When attempting to solve questions involving coded inequalities, it is important to keep in mind the signs and representations that are included in the problem. This makes it much simpler to provide an accurate response to the question without making any mistakes.
  • Between any two items, the sign should never be changed. On the other hand, the meaning can be expressed either through H>G or G>H.
  • Create a table or any other diagram with the sign of each code mentioned in it. You wouldn’t need to spend as much time on it, and you’d come away with a deeper comprehension of the issue at hand.
  • If there is a single component that appears more than once in a statement, the statement should be combined in order to prevent the recurrence of components. 

Solved Examples

Question 1: Find out which of the findings among the given two conclusions is/are definitely true, and then give your answer based on it. In the question, find out which of the conclusions among the given two conclusions is/are definitely true. 

Statement: 

H < A < T = G > U ≥ V ≥ B

Conclusion:

  1. T > B
  2. G > H
    1. Only conclusion I follow
    2. Either conclusion I or II follow
    3. Only conclusion II follow
    4. None Follows
    5. Both conclusion I and II follow

Solution:

Given Statement: H < A < T = G > U ≥ V ≥ B

  1. T > B = True (as T = G > U ≥ V ≥ B)
  2. G > H = True (as H < A < T = G)

If we analyse the given statements, then we get the answer both conclusion I and II follows. 

Conclusion 

The issue of coded inequalities carries a major weightage in the reasoning section of the test, and it is also a scoring topic. Candidates who are conversant with the material can rapidly solve the questions involving coded inequalities that appear on bank examinations. The comprehensive knowledge of strategies and techniques to solve this problem assures that there is less room for error. In order for the candidates to improve their rate of production, it is recommended that they practise solving issues with coded inequalities.

faq

Frequently asked questions

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

What is coded inequalities?

Ans. Simply said, it refers to something that is unequal in all of the senses, be they social, economic, or mathemat...Read full

How many types of inequality are there in reasoning?

Ans. Inequality can be broken down into four distinct categories: basic inequality, either–or case inequality, cod...Read full

Statement: H > I J J K (1). Either I or II follow (2). Only II follow (3). Both I, II, and III follow (4). Only I follow (5). Neither I, II, nor III follow

Ans. Statement: H > I < J ...Read full

Statement: C = T ≥ V ≥ U Conclusion: C > U T = U Only conclusion I follow Either conclusion I or II follow Only conclusion II follow None Follows Both conclusion I and II follow

Ans. Given Statement: C = T ≥ V ≥ U ...Read full

Statement: 9 > 7 5 6 > 4 (1). Only I follow (2). Only II follow (3). Both I and II follow (4). Either I or II follow (5). Neither I nor II follows

Ans. Given Statement: 9 > 7 &...Read full

Ans. Simply said, it refers to something that is unequal in all of the senses, be they social, economic, or mathematical. In contrast, today we will be discussing inequality from a mathematical perspective. Every single one of you has encountered signs such as “>”, “≠”, “≤”, and so on.

Ans. Inequality can be broken down into four distinct categories: basic inequality, either–or case inequality, coded inequality, and reverse inequality. 

Directions (Q3-Q5): Find out which of the conclusions among the supplied conclusions is/are absolutely accurate, and then give your replies based on that information. In the next question, we are going to assume that the statements that have been given are true.

Ans. Statement:

H > I < J = K

  1. H > J ⇾ False (as H > I < J)
  2. J < H ⇾ False (as H > I < J)
  1. I > K ⇾ False (as I < J = K)

Here, J and H elements are the same but the meaning is different so they will not form a complementary pair.

Hence, Neither I, II, nor III follow.

Ans. Given Statement: C = T ≥ V ≥ U

  1. C > U  = False (as C = T ≥ V ≥ U)
  2. T = U = False (as T ≥ V ≥ U)

As we can see either I or II is true as we can see C = T, Hence it is the correct answer.

Ans. Given Statement:

9 > 7 < 6 = 5 ≥ 4

9 > 5 ⇾ False (As 9 > 7 < 6 = 5)

6 > 4 ⇾ True (As 6 = 5 ≥ 4)

Hence, Only II follow.

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