NABARD Grade B Reasoning Ability: Inequalities Practice Questions

These 20 MCQs are designed for NABARD Grade B 2026. Study the explanations carefully to master Inequalities.

Q1. If A > B ≥ C = D < E, which is true?

  • A) A > D
  • B) E > B
  • C) C = D
  • D) All of these

Answer: D — A>B≥C=DD ✓. E>D but E vs B unknown. C=D ✓. A>D ✓. All three are true.

Q2. If P ≥ Q > R ≤ S, which conclusion is definitely true?

  • A) P > R
  • B) S ≥ Q
  • C) P = S
  • D) Q > S

Answer: A — P≥Q>R → P>R (definitely). S≥R but S vs Q not determined.

Q3. If A = B > C < D ≤ E, is A > D true?

  • A) True
  • B) False
  • C) Cannot be determined
  • D) A < D

Answer: C — A=B>CC and D>C but A vs D is unknown.

Q4. If X > Y = Z > W, which is false?

  • A) X > W
  • B) Y > W
  • C) Z > X
  • D) X > Z

Answer: C — Z > X is false since X>Y=Z means X>Z.

Q5. P < Q ≤ R > S ≥ T. Which is definitely true?

  • A) R > T
  • B) P > T
  • C) Q = S
  • D) P < T

Answer: A — R>S≥T → R>T. True.

Q6. If A ≥ B = C > D, is B > D true?

  • A) Yes
  • B) No
  • C) Cannot say
  • D) Depends

Answer: A — B=C>D → B>D. Yes.

Q7. In M > N ≥ O = P < Q, which cannot be determined?

  • A) M vs Q
  • B) N vs P
  • C) O vs P
  • D) M vs N

Answer: A — M vs Q: M>N≥P

Q8. If J < K = L ≤ M, which is true?

  • A) J < M
  • B) L > J
  • C) K ≤ M
  • D) All of these

Answer: D — JJ✓, K≤M✓. All true.

Q9. If A > B ≥ C ≤ D = E, is A > E true?

  • A) Yes
  • B) No
  • C) Cannot be determined
  • D) Always false

Answer: C — A>B≥C≤D=E — no direct chain from A to E.

Q10. P = Q < R ≤ S, what is P's relation to S?

  • A) P < S
  • B) P > S
  • C) P = S
  • D) Cannot say

Answer: A — P=Q

Q11. Given: F ≥ G > H; H = I ≤ J. Is F > I definitely true?

  • A) Yes
  • B) No
  • C) Cannot say
  • D) F = I

Answer: A — F≥G>H=I → F>I. Yes.

Q12. If W > X and X ≥ Y and Y > Z, then:

  • A) W > Z
  • B) W = Z
  • C) Z > W
  • D) Cannot say

Answer: A — W>X≥Y>Z → W>Z.

Q13. A > B; C < B; D = A. Is D > C?

  • A) Yes
  • B) No
  • C) Cannot say
  • D) Depends on values

Answer: A — D=A>B>C → D>C. Yes.

Q14. If P ≥ Q; Q > R; S < R — then P __ S?

  • A) > S
  • B) < S
  • C) = S
  • D) Cannot say

Answer: A — P≥Q>R>S → P>S.

Q15. K > L = M < N ≥ O. Is L > O definitely true?

  • A) Yes
  • B) No
  • C) Cannot say
  • D) L = O

Answer: C — L=M O. Cannot say.

Q16. If A > B > C > D > E, which pair has the largest difference?

  • A) A and E
  • B) A and B
  • C) C and E
  • D) B and D

Answer: A — In strictly decreasing order, A and E have the largest difference.

Q17. T ≥ U > V = W ≤ X. Is T ≥ W true?

  • A) Yes
  • B) No
  • C) Cannot say
  • D) T < W

Answer: A — T≥U>V=W → T>W → T≥W. Yes.

Q18. If R > S ≥ T and T > U, which is false?

  • A) R > U
  • B) S > U
  • C) T = U
  • D) R > T

Answer: C — T>U so T=U is False.

Q19. P ≤ Q; Q ≤ R; R < S. What is P's relation to S?

  • A) P < S
  • B) P > S
  • C) P = S
  • D) Cannot say

Answer: A — P≤Q≤R

Q20. If M ≥ N = O > P ≥ Q, is M > Q definitely true?

  • A) Yes
  • B) No
  • C) Cannot say
  • D) M = Q

Answer: A — M≥N=O>P≥Q → M≥O>Q → M>Q. Yes.