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Table of contents
Introduction
Understanding the Symbols
Format of Coded Inequalities
Examples

Introduction

Coded inequalities are a type of logical reasoning problem commonly found in competitive exams, aptitude tests, and assessments designed to evaluate logical thinking and problem-solving skills.

Coded Inequalities, Introduction and Examples (with Solutions), Reasoning (Part - 1) | Reasoning Aptitude for Competitive Examinations - Bank Exams

These problems involve a series of statements where elements are related to each other through coded symbols rather than explicit numbers or words.

The challenge lies in deciphering these relationships and drawing logical conclusions based on the given coded statements.

Understanding the Symbols

Before delving into coded inequalities, it's essential to grasp the meaning of the symbols used:

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 greater than or equal to B
A ≤ B: A is less than or equal to B

These symbols establish relationships between elements and form the basis of deriving conclusions from coded statements.

Question for Coded Inequalities, Introduction and Examples (with Solutions), Reasoning (Part - 1)

Try yourself:

Which symbol would be used to represent that A is less than or equal to B in a coded inequality?

A.
A > B
B.
A < b="" />
C.
A = B
D.
A ? B

View Solution

Format of Coded Inequalities

Coded inequalities are typically presented in the form of statements where elements are connected by symbols indicating their relationships. Each statement can involve multiple elements, and the symbols may vary within the statement. Here’s an example format:

Example Statement: X > Y ≥ Z < W

In this statement:

X is greater than Y
Y is greater than or equal to Z
Z is less than W

Steps to Solve Coded Inequalities:

Analyze the Statement: Carefully read and understand the relationships between the elements as indicated by the coded symbols.
Establish Logical Order: Determine the logical order of elements based on the given relationships. This helps in visualizing the hierarchy or sequence of elements.
Draw Inferences: Based on the established relationships, draw logical conclusions about the relationships between specific elements or their positions relative to each other.
Verify Conclusions: Validate each conclusion against the coded statement to ensure it aligns logically with the given relationships.

Examples

Example 1:

Coded Inequalities:
- $A # B$ means $A > B$
- $A @ B$ means $A \geq B$
Statement: $P # Q @ R$

What does the statement $P \# Q @ R$ P#Q@R mean?
a) $P \leq Q > R$
b) $P > Q \geq R$
c) $P < Q = R$
d) $P \geq Q < R$

Solution:

$P # Q$ means $P > Q$
$Q @ R$ means $Q \geq R$

Correct Answer: b) $P > Q \geq R$

Example 2:

Coded Inequalities:
- $A & B$ means $A < B$
- $A $ B$ means $A \leq B$
Statement: $X & Y $ Z$

What does the statement $X \& Y \$ Z$ X&Y$Z mean?
a) $X > Y \leq Z$
b) $X \geq Y = Z$
c) $X < Y \leq Z$
d) $X \leq Y > Z$

Solution:

$X & Y$ means $X < Y$
$Y $ Z$ means $Y \leq Z$ Y≤Z

Correct Answer: c) $X < Y \leq Z$

Example 3:

Coded Inequalities:
- $A \* B$ A\*B means $A = B$
- $A # B$ means $A > B$
Statement: $M \# N \* O$

What does the statement $M \# N \* O$ M#N\*O mean?
a) $M < N = O$
b) $M = N > O$
c) $M > N = O$
d) $M = N < O$

Solution:

$M # N$ means $M > N$
$N \* O$ N\*O means $N = O$

Correct Answer: c) $M > N = O$

Example 4:

Coded Inequalities:
- $A @ B$ means $A \geq B$
- $A & B$ means $A \leq B$
Statement: $K @ L \& M$

What does the statement $K @ L \& M$ K@L&M mean?
a) $K \leq L < M$
b) $K \geq L \leq M$
c) $K = L > M$
d) $K > L \geq M$

Solution:

$K @ L$ means $K \geq L$
$L & M$ means $L \leq M$

Correct Answer: b) $K \geq L \leq M$

Example 5:

Coded Inequalities:
- $A $ B$ means $A \neq B$
- $A # B$ means $A > B$
Statement: $P \$ Q \# R$

What does the statement $P \$ Q \# R$ P$Q#R mean?
a) $P = Q > R$
b) $P \neq Q < R$
c) $P \neq Q > R$
d) $P > Q \neq R$

Solution:

$P $ Q$ means $P \neq Q$
$Q # R$ means $Q > R$

Correct Answer: c) $P \neq Q > R$

Tips for Solving Coded Inequalities

Practice: Familiarize yourself with different types of coded statements and practice deriving conclusions.
Logical Deduction: Focus on logical deduction rather than assumptions or external knowledge.
Step-by-Step Approach: Break down each statement into simpler relationships and proceed step-by-step to draw conclusions.

[Intext Question]

Coded inequalities require a methodical approach to decipher relationships between elements based on coded symbols. By understanding the symbols, analyzing the statements, and logically deducing conclusions, you can effectively tackle these problems in exams and assessments. Regular practice is key to mastering this skill and improving your accuracy in solving coded inequalities.

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FAQs on Coded Inequalities, Introduction and Examples (with Solutions), Reasoning (Part - 1) - Reasoning Aptitude for Competitive Examinations - Bank Exams

1. What are coded inequalities?

Ans. Coded inequalities are a type of logical reasoning questions that involve a set of conditions or statements coded in a specific language or symbols. These conditions need to be decoded and analyzed to determine the relationship between different variables or entities.

2. How can I solve coded inequality questions?

Ans. To solve coded inequality questions, you need to carefully analyze the given conditions and decode the symbols or language used. Then, you can create a chart or table to represent the relationships between different variables based on the decoded information. By comparing the relationships, you can find the correct answer.

3. Can you provide an example of a coded inequality question?

Ans. Sure! Here's an example of a coded inequality question: "In a certain code language, 'A > B' means 'A is greater than B', 'A < B' means 'A is smaller than B', 'A = B' means 'A is equal to B', and 'A ≥ B' means 'A is greater than or equal to B'. Based on the following coded statements, find the correct answer: 1. M > N 2. N = P 3. P ≤ Q 4. Q < R"

4. How do I represent the decoded information in coded inequality questions?

Ans. To represent the decoded information in coded inequality questions, you can create a chart or table. For example, you can list the variables involved in the question (such as M, N, P, Q, R in the previous example) and represent the relationships between them using symbols like '>' (greater than), '<' (less than), '=' (equal to), '≥' (greater than or equal to), or '≤' (less than or equal to).

5. Are there any tips or strategies for solving coded inequality questions?

Ans. Yes, here are some tips for solving coded inequality questions: - Start by decoding the given language or symbols and understanding their meanings. - Create a chart or table to represent the relationships between variables based on the decoded information. - Look for any direct relationships or comparisons between variables. - Use transitive property (if A > B and B > C, then A > C) to infer indirect relationships. - Analyze all the given conditions carefully and compare them to find the correct answer.

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