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Inequalities MCQs

Inequalities MCQs are multiple-choice questions that give a chain of relations such as G > V > X ≥ Y and ask which conclusions about two letters are definitely true. Every question on MCQs360 shows its correct answer instantly, so you can check whether you combined the signs correctly and learn when no conclusion can be drawn.

Question 01 Inequalities

In a certain code, ‘X $ Y’ means X is greater than Y; ‘X % Y’ means X is equal to Y; ‘X @ Y’ means X is either smaller than or equal to Y; ‘X & Y’ means X is smaller than Y; ‘X # Y’ means X is either greater than or equal to Y. Statements: Q $ R, R $ S, S & U, U % P, P $ T. Conclusions: I. R % P II. P & T. Which of the conclusions is definitely true?

Correct answer D. Neither conclusion I nor II is true

Open question
Question 02 Inequalities

In a certain code, ‘X % Y’ means X is greater than Y; ‘X $ Y’ means X is either greater than or equal to Y; ‘X @ Y’ means X is smaller than Y; ‘X # Y’ means X is either smaller than or equal to Y; ‘X & Y’ means X is equal to Y. Statements: O # N, N # K, K @ L, L @ J, J @ M. Conclusions: I. M $ O II. N $ J. Which of the conclusions is definitely true?

Correct answer A. Only conclusion I is true

Open question
Question 03 Inequalities

In a certain code, ‘X % Y’ means X is either greater than or equal to Y; ‘X # Y’ means X is greater than Y; ‘X @ Y’ means X is smaller than Y; ‘X $ Y’ means X is equal to Y; ‘X & Y’ means X is either smaller than or equal to Y. Statements: Z % V, V @ W, W $ G, G # Y, Y # X. Conclusions: I. W # Y II. Z @ G. Which of the conclusions is definitely true?

Correct answer D. Only conclusion I is true

Open question
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Question 07 Inequalities

In a certain code, ‘X # Y’ means X is either smaller than or equal to Y; ‘X $ Y’ means X is either greater than or equal to Y; ‘X & Y’ means X is equal to Y; ‘X % Y’ means X is smaller than Y; ‘X @ Y’ means X is greater than Y. Statements: G # V, V % W, W @ Y, Y & Z. Conclusions: I. W @ Z II. Y @ G. Which of the conclusions is definitely true?

Correct answer B. Only conclusion I is true

Open question
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Question 11 Inequalities

In a certain code, ‘X % Y’ means X is equal to Y; ‘X & Y’ means X is either greater than or equal to Y; ‘X @ Y’ means X is either smaller than or equal to Y; ‘X # Y’ means X is smaller than Y; ‘X $ Y’ means X is greater than Y. Statements: E % C, C $ F, F @ A, A @ D, D # B. Conclusions: I. B $ F II. D & F. Which of the conclusions is definitely true?

Correct answer B. Both conclusions I and II are true

Open question
Question 13 Inequalities

In a certain code, ‘X $ Y’ means X is smaller than Y; ‘X # Y’ means X is either greater than or equal to Y; ‘X % Y’ means X is equal to Y; ‘X @ Y’ means X is either smaller than or equal to Y; ‘X & Y’ means X is greater than Y. Statements: B # E, E % C, C & D, D & F. Conclusions: I. D @ B II. C & B. Which of the conclusions is definitely true?

Correct answer C. Only conclusion I is true

Open question
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Question 16 Inequalities

In a certain code, ‘X $ Y’ means X is either greater than or equal to Y; ‘X # Y’ means X is greater than Y; ‘X & Y’ means X is equal to Y; ‘X % Y’ means X is smaller than Y; ‘X @ Y’ means X is either smaller than or equal to Y. Statements: J # B, B # C, C % M, M & K, K % H. Conclusions: I. H @ B II. C % H. Which of the conclusions is definitely true?

Correct answer A. Only conclusion II is true

Open question

About Inequalities MCQs

Direct inequality questions give one or two chains of letters joined by >, <, ≥, ≤ and =, and two conclusions to test. A conclusion follows only if the two letters are linked by signs that all point the same way. Coded inequality questions first define symbols such as # or @ to mean greater than or smaller than, so you must decode each statement before testing it.

Some questions end with options such as "only I follows", "either I or II follows" or "neither follows", which require knowing when two conclusions together cover every possibility. Inequality questions are a regular feature of IBPS and SBI reasoning papers and also appear in SSC and NTS tests. They are among the quickest questions in a reasoning paper once the sign rules are clear, so they are worth practising until each one takes under a minute.

Key facts to remember

  • A conclusion between two letters follows only if every sign between them points the same way, such as A > B ≥ C giving A > C.
  • If the signs between two letters point in opposite directions, such as A > B < C, no definite relation exists.
  • Combining > with ≥ or = gives >, while combining ≥ with = gives ≥.
  • "Either I or II follows" applies when neither conclusion follows alone, both involve the same two letters, and together they cover all cases (for example A > B and A ≤ B).
  • A conclusion with = follows only if every sign between the two letters is =.

Exams that include Inequalities MCQs

Pakistan

  • NTS
  • GAT
  • MDCAT
  • PPSC
  • FPSC

India

  • SSC CGL
  • SSC CHSL
  • IBPS PO
  • IBPS Clerk
  • SBI PO
  • SBI Clerk
  • RRB NTPC
  • CAT

Bangladesh

  • BCS
  • Bangladesh Bank recruitment tests

How to prepare for Inequalities MCQs

  1. Rewrite coded statements in normal symbols before reading the conclusions.
  2. Trace the path between the two letters in each conclusion and stop as soon as you meet an opposite sign.
  3. When two chains share a letter, join them through it, flipping one chain if needed so the signs face the same way.
  4. Check for the either-or case only after confirming that neither conclusion follows by itself.

Frequently asked questions

When does no conclusion follow in an inequality?

No definite relation exists when the signs between two letters point in opposite directions, such as A > B < C, since C could be larger, smaller or equal to A. A conclusion also fails if it claims more than the chain shows, such as A > C from A ≥ C.

Which exams ask Inequalities MCQs?

Inequality questions are standard in IBPS PO, IBPS Clerk, SBI PO, SBI Clerk and RRB reasoning papers in India and also appear in SSC exams. In Pakistan similar items appear in NTS, GAT and MDCAT logical reasoning, and in Bangladesh in bank recruitment tests.

What does "either I or II follows" mean?

It means neither conclusion is certain on its own, but one of them must be true. This happens when both conclusions compare the same two letters and together cover every possibility, such as "A > B" and "A ≤ B", or "A = B" and "A > B" when the chain shows A ≥ B.

Last reviewed October 2026