Inequalities (Coded and Direct) MCQs

Solved inequality MCQs for IBPS and SBI reasoning: read a chain such as P > Q ≥ R = S and decide which conclusions definitely follow, including either-or cases, with worked reasoning.

1. 1

   Statement: S = V > M > G < K. Conclusions: I. G < S II. S > V. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: A. Only conclusion I is true

   From the chain, G vs S: G < S, so conclusion I is true. S vs V: S = V, so conclusion II is not definitely true.

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2. 2

   Statement: F ≤ C ≥ J < W ≥ M. Conclusions: I. J ≥ W II. W ≥ J. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: B. Only conclusion II is true

   From the chain, J vs W: J < W, so conclusion I is not definitely true. W vs J: W > J, so conclusion II is true.

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3. 3

   Statement: B > T ≤ J > P < E. Conclusions: I. T ≤ E II. T > E. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: C. Either I or II is true

   From the chain, T vs E: the relation cannot be determined, so conclusion I is not definitely true. T vs E: the relation cannot be determined, so conclusion II is not definitely true. The two conclusions are about the same pair and together cover every possibility, so either I or II must be true.

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4. 4

   Statement: R ≥ F > C = W = A. Conclusions: I. C > R II. A = F. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: D. Neither I nor II is true

   From the chain, C vs R: C < R, so conclusion I is not definitely true. A vs F: A < F, so conclusion II is not definitely true.

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5. 5

   Statement: N > S ≥ L ≥ C > V. Conclusions: I. S > V II. V ≤ S. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: E. Both I and II are true

   From the chain, S vs V: S > V, so conclusion I is true. V vs S: V < S, so conclusion II is true.

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6. 6

   Statement: V ≤ U < B > W = S. Conclusions: I. W ≥ S II. S ≥ B. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: A. Only conclusion I is true

   From the chain, W vs S: W = S, so conclusion I is true. S vs B: S < B, so conclusion II is not definitely true.

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7. 7

   Statement: S < F = M = T ≤ K. Conclusions: I. K = M II. F ≤ K. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: B. Only conclusion II is true

   From the chain, K vs M: K ≥ M, so conclusion I is not definitely true. F vs K: F ≤ K, so conclusion II is true.

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8. 8

   Statement: W > R ≤ H > V > L. Conclusions: I. H > R II. H ≤ R. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: C. Either I or II is true

   From the chain, H vs R: H ≥ R, so conclusion I is not definitely true. H vs R: H ≥ R, so conclusion II is not definitely true. The two conclusions are about the same pair and together cover every possibility, so either I or II must be true.

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9. 9

   Statement: T > E < N > L = S. Conclusions: I. T > S II. N ≤ L. Which conclusion(s) definitely follow?

   AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

   Correct answer: D. Neither I nor II is true

   From the chain, T vs S: the relation cannot be determined, so conclusion I is not definitely true. N vs L: N > L, so conclusion II is not definitely true.

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10. 10

    Statement: P ≤ Q < K ≤ E ≤ H. Conclusions: I. P < K II. H > Q. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: E. Both I and II are true

    From the chain, P vs K: P < K, so conclusion I is true. H vs Q: H > Q, so conclusion II is true.

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12. 11

    Statement: K ≥ W ≤ H ≤ A > E. Conclusions: I. A ≥ H II. A < W. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: A. Only conclusion I is true

    From the chain, A vs H: A ≥ H, so conclusion I is true. A vs W: A ≥ W, so conclusion II is not definitely true.

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13. 12

    Statement: H < M < N > P < L. Conclusions: I. N < L II. N > P. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: B. Only conclusion II is true

    From the chain, N vs L: the relation cannot be determined, so conclusion I is not definitely true. N vs P: N > P, so conclusion II is true.

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14. 13

    Statement: K ≥ G > S ≥ U ≥ B. Conclusions: I. S ≤ U II. S > U. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: C. Either I or II is true

    From the chain, S vs U: S ≥ U, so conclusion I is not definitely true. S vs U: S ≥ U, so conclusion II is not definitely true. The two conclusions are about the same pair and together cover every possibility, so either I or II must be true.

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15. 14

    Statement: Q > V ≤ D > U < H. Conclusions: I. V ≥ D II. U ≥ D. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: D. Neither I nor II is true

    From the chain, V vs D: V ≤ D, so conclusion I is not definitely true. U vs D: U < D, so conclusion II is not definitely true.

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16. 15

    Statement: N ≤ K < E < V ≥ M. Conclusions: I. V ≥ N II. N ≤ V. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: E. Both I and II are true

    From the chain, V vs N: V > N, so conclusion I is true. N vs V: N < V, so conclusion II is true.

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17. 16

    Statement: E > J < T < N < Q. Conclusions: I. J = E II. T ≥ Q. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: D. Neither I nor II is true

    From the chain, J vs E: J < E, so conclusion I is not definitely true. T vs Q: T < Q, so conclusion II is not definitely true.

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18. 17

    Statement: V = B < C ≥ G > L. Conclusions: I. V < C II. L = V. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: A. Only conclusion I is true

    From the chain, V vs C: V < C, so conclusion I is true. L vs V: the relation cannot be determined, so conclusion II is not definitely true.

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19. 18

    Statement: C < R ≤ Q ≥ N < S. Conclusions: I. R < N II. R ≥ N. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: C. Either I or II is true

    From the chain, R vs N: the relation cannot be determined, so conclusion I is not definitely true. R vs N: the relation cannot be determined, so conclusion II is not definitely true. The two conclusions are about the same pair and together cover every possibility, so either I or II must be true.

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20. 19

    Statement: F > N < E < U = C. Conclusions: I. U ≥ F II. N < U. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: B. Only conclusion II is true

    From the chain, U vs F: the relation cannot be determined, so conclusion I is not definitely true. N vs U: N < U, so conclusion II is true.

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21. 20

    Statement: F = M = G = A > C. Conclusions: I. G ≤ F II. G ≤ A. Which conclusion(s) definitely follow?

    AOnly conclusion I is trueBOnly conclusion II is trueCEither I or II is trueDNeither I nor II is trueEBoth I and II are true

    Correct answer: E. Both I and II are true

    From the chain, G vs F: G = F, so conclusion I is true. G vs A: G = A, so conclusion II is true.

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