Inequalities For RRB PO 2025, Check Most Asked Questions with Answers

Inequalities For RRB PO 2025: Preparing for the Reasoning section of the RRB PO 2025 examination requires a complete understanding of key topics for Inequalities. This topic is a staple in government exams, including the RRB PO, where candidates can expect 2-4 questions, each carrying 1 mark. This article explores the concept of inequalities, the types of questions asked, and provides a selection of the most frequently asked practice questions along with the detailed solution.

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What Are Inequalities?

Inequalities are mathematical expressions used to compare two values or expressions. In reasoning questions, inequalities involve a series of relations between different elements using symbols like >, <, ≥, ≤, =, and ≠. The candidate is asked to deduce the correct relationship between two given elements.

Important Symbols & Their Meanings

Here we are providing inequalities important symbols along with their meanings. Candidates can check all symbols in the table below.

Types of Inequality Questions

Inequality questions in the RRB PO exam are typically categorised into two types:

Basic Inequality Questions: These involve direct use of inequality symbols to establish relationships between elements. For example: P < Q ≤ R ≥ S.

Missing Symbol Inequality Questions: Candidates must choose the correct symbols to fill in blanks to satisfy given conditions, such as A > B _ C _ D ≥ E.

Inequalities Important Questions for RRB PO 2025 Exam

Question 1: Which combination of symbol should replace (1) and (2), respectively in the given expression in order to make the expressions ‘Z > U’ and ‘W ≤ X’ definitely true?

A = Z (1) T = X ≥ S (2) U=Y≥W

A) ≥, ≥

B) =, =

C) >, =

D) =, ≥

E) Both (c) and (d)

Question 2: Which combination of symbol should replace (1) and (2) respectively, in the given expression in order to make the expressions ‘D = C’ and ‘A > B’ definitely false?

B > E (1) D = A ≥ F (2) C = G

A) ≥, ≥

B) ≥, >

C) >, ≤

D) =, >

E) Both (b) and (d)

Question 3: In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then give your answer accordingly.

Statements: K = M ≥ O ≥ P > T = R; J ≤ N ≤ K = Y

Conclusions:

I. M > J

II. Y ≥ P

III. K < R

A) Only Conclusion I is true

B) Only Conclusions I and II are true

C) Only Conclusion I and III are true

D) Only Conclusion II is true

E) All the Conclusions are true.

Question 4: In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then give your answer accordingly.

Statements: P ≥ R > N = V ≥ Q; M > O ≥ S < T > Y = P

Conclusions:

I. T ≥ R

II. O ≤ P

III. Y > O

A) Only Conclusion I is true

B) Only Conclusions I and II are true

C) Only Conclusion III is true

D) Only Conclusion II is true

E) None of the above

Question 5: In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then give your answer accordingly.

Statements:

G > S > O = P ≤ R, O ≥ T > B > W ≤ A

Conclusion:

I. R ≥ T

II. G > A

III. S > W

A) Only conclusions I and II are true.

B) Only conclusion II is true.

C) Only conclusion III is true.

D) Only conclusions I and III are true.

E) None of the above.

Tricks to Solve Inequalities Fast

Here we are providing the strategy & tricks to solve questions easily. Candidates can check the detailed strategy in the section below.

Combine Relations Carefully: Always move from left to right while combining the relations between two elements.

Stop at the Strongest Relation: Between two conflicting relations, the strongest one prevails.
For example:
If A ≥ B > C → relation between A and C = A > C

Either-Or Case Identification:

• Conditions:
  
  1. Both conclusions must be wrong individually.
     
  2. Both should involve the same elements.
     
  3. One conclusion must be A > B type and the other A = B type.
     

Eliminate Options Quickly: Start with direct conclusions first, followed by indirect ones.

Tips for Mastering Inequalities

1. Master Basic Concepts: Understand inequality symbols, number line representations, and rules for manipulating inequalities (e.g., multiplying by a negative number reverses the inequality).
2. Solve Previous Year Papers: Practice with past papers to identify common question patterns. 
3. Check for Complementary Pairs: When two conclusions involve the same elements and form an either-or scenario, check if they satisfy a broader condition (e.g., A ≥ B).
4. Time Management: Since the prelims allow about 1 minute per question, practice solving inequalities quickly using shortcuts, such as testing boundary points for quadratic inequalities.
5. Mock Tests: Candidates can take mock tests to know what types of questions come in the examination and know the difficulty level.

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