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Reasoning practice

Coded Inequality Questions with Answers

Chains of greater-than and equal-to, often behind symbols, and the reversals where nothing follows. This page pools every coded inequality question on the site (97 of them, from 15 exams, weighted towards Banking, Railways, Civil Services) so you can drill the topic on its own instead of meeting four of them inside a full paper.

16% of the pool is graded hard on this site’s own scale and 3% easy, which is about average for this section.

Questions
97
Practice set
25 in 25 min
Difficulty
3/78/16
Negative marking
None
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Coded Inequality questions with solutions

6 from the 97-question pool, worked in full.

  1. 1. In these questions, the following symbols indicate relationships: '@' means greater than, '#' means less than, '%' means greater than or equal to, '$' means less than or equal to, and '&' means equal to. Read the given statements and decide which of the conclusions logically follow(s). Statements: O%P, P$Q, Q#R Conclusions: I. O#R II. P#R

    • A. Only II follows ✓
    • B. Both I and II follow
    • C. Neither I nor II follows
    • D. Only I follows

    Solution. P≤Q and Q<R together give P<R (II), since even if P equals Q, Q is still less than R. O≥P does not fix O's relation to R, so I does not necessarily follow.

  2. 2. Statements: X ≥ Y > Z, Z = W. Conclusions: I. X > W. II. X ≥ W.

    • A. Only I follows
    • B. Only II follows
    • C. Neither follows
    • D. Both follow ✓

    Solution. Since Y > Z = W is a strict inequality and X ≥ Y, combining gives X ≥ Y > W, so X must be strictly greater than W. This satisfies conclusion I (X > W), and since X > W also implies X ≥ W, conclusion II follows as well. Both conclusions follow.

  3. 3. Statements: X < Y ≤ Z; W > Z. Conclusion: W > X. Is this conclusion valid?

    • A. Valid ✓
    • B. Contradictory
    • C. Invalid
    • D. Cannot be determined

    Solution. From the chain W > Z ≥ Y > X, it directly follows that W > X.

  4. 4. Statements: W ≤ X < Y ≤ Z. Conclusions: I. W < Z II. X ≤ Z. Which conclusion(s) follow?

    • A. Only II follows
    • B. Neither follows
    • C. Only I follows
    • D. Both I and II follow ✓

    Solution. The chain contains a strict inequality (X < Y), so W < Z follows (I). Since X < Y ≤ Z gives X < Z, it also follows that X ≤ Z (II).

  5. 5. Statements: M > N > O ≥ P; Q < P. Conclusion: M > Q. Is this conclusion valid?

    • A. Invalid
    • B. Cannot be determined
    • C. Valid ✓
    • D. Contradictory

    Solution. From the chain M > N > O ≥ P > Q, it follows directly that M > Q.

  6. 6. Statements: J > K = L ≥ M. Conclusions: I. J > M II. K ≥ M. Which conclusion(s) follow?

    • A. Only I follows
    • B. Only II follows
    • C. Both I and II follow ✓
    • D. Neither follows

    Solution. Since K = L ≥ M, we get K ≥ M (Conclusion II); combined with J > K, this gives J > M (Conclusion I). Both conclusions are valid.

Exams that set Coded Inequality

4 categories, led by Banking, Railways, Civil Services.

Also set by SEBI Grade A, SIDBI Grade A & B, UPSC CSE. Browse all exams.

Coded Inequality: frequently asked questions

How many coded inequality questions are there?

97, from the 15 exams here whose syllabus sets the topic. 3% are graded easy and 16% hard, which makes coded inequality about average for this section, where the mean is 17%.

Which exams ask coded inequality questions?

15 of the exams on this site, weighted towards Banking (11), Railways (2), Civil Services (1). Every question in this pool comes from one of their own mock tests, so the list below is the honest answer to whether the topic is worth your time.

Is coded inequality hard?

16% of these 97 questions are graded hard and 3% easy, making it about average for this section, where the mean is 17%.

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