Inequality Questions for Bank Exams

Inequality questions are an important part of the reasoning ability section in bank exams. These questions test a candidate’s ability to analyze relationships between different elements using symbols like greater than, less than, or equal to, and draw logical conclusions from given statements. They help assess both accuracy and speed of decision-making.

Inequality Questions for Bank Exams

Regular practice of inequality questions improves analytical thinking and helps candidates solve such problems quickly during exams, making it easier to score well in the reasoning section.

The “Open Gate” Trick

Visualizing the signs as gates is the fastest way to solve these without writing anything down.

• Open Gate (>): You can enter from the left side.
• Closed Gate (<): You cannot enter from the left; the path is blocked.
• Both Sides Open (=): You can pass through from either side.

Special Case: Either – Or

This occurs when you cannot establish a definite relationship, but one of two possibilities must be true.

Condition 1 (When relation is known):

If the statement is A ≥ B, and conclusions are:

1. A > B (False alone)
2. A = B (False alone)

Result: Either 1 or 2 follows (because ≥ literally means > or =).

Condition 2 (When no relation is known – “Blocked Path”):

If the statement is A > B < C, there is no relation between A and C.

Conclusions:

1. A ≥ C
2. A < C

Result: Either 1 or 2 follows because between any two unknown values, only three things are possible: >, <, or =. These two conclusions cover all three.

Advanced Types for Mains

• Coded Inequality: Signs are replaced by symbols (e.g., A @ B means A > B).
  • Tip: Use the Magic Box method. Draw a square and place the signs at the corners to quickly see priorities without decoding every single symbol.
• Reverse Inequality: You are given the conclusion and must find the correct statement from the options.
• Definite False: A conclusion is “Definitely False” only if the exact opposite relationship is proven true (e.g., if A > B is true, then A ≤ B is Definitely False).

Quick Strategy for 2026 Exams

• Prelims: Focus on speed. Use the “Gate Method” to solve 5 questions in 60-90 seconds.
• Mains: Practice “Coded” and “Fill in the blanks” inequalities where signs are missing in the statement.
• Common Mistake: Don’t assume a relationship if the gates are “facing each other” (e.g., A > B < C). This is a “No Relation” zone.

Inequality Questions for Bank Exams

Inequality Questions can be categorized into various types, including simple inequalities, compound inequalities, and conditional inequalities. They require logical reasoning, attention to detail, and the ability to apply mathematical principles to solve problems efficiently. Practice is key to mastering this type of question, as it helps in developing the necessary problem-solving skills and improving accuracy.

Directions (1-15): In the following questions, a statement/s is/are given followed by some conclusions. Study the following information carefully and answer the questions accordingly.

Q1. Statements: X = Y ≥ E > F > G > H > I, F < Z ≤ T
Conclusions: I. X < G
II. Z > Y
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q2. Statements: P < F ≤ T < V = Q, S ≥ U > T
Conclusions: I. F < S
II. T > P
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q3. Statements: Y ≥ L < T = Q > U, K ≤ C < L
Conclusions: I. Q > L
II. K < Y
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q4. Statements: R > K ≤ T < M, M ≤ J = Q > S
Conclusions: I. R > M
II. S > T
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q5. Statement: A ≥ T ≥ S = D ≥ Q
Conclusions: I. A > Q
II. Q = A
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q6. Statements: R = T ≥ V; P ≤ W ≤ R = S ≤ Y
Conclusions: I. W ≤ T
II. Y = R
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q7. Statements: P = N ≥ J > T, C = Z ≥ X > P < K > R
Conclusions: I. P > T
II. J < X
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q8. Statements: E > X < O = N ≥ F ≥ U < D = Q > V ≥ Y
Conclusions: I. U> X
II. E ≥ Q
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q9. Statements: T ≥ I > V= Z > K ≤ H > C < G, M ≥ E ≥ H
Conclusions: I. M > K
II. M = K
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q10. Statements: H > P > S ≥ I= F > X, V ≥ T > W = D ≥ H
Conclusions: I. I ≤ H
II. S < W
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q11. Statements: A > L ≥ C ≥ T, E = F > S, S = A
Conclusions: I. S > L
II.C > T
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q12. Statements: Y > T ≥ C ≥ D, E = U > G, G = Y
Conclusions: I. U > Y
II. T > U
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q13. Statements: K ≤ L > M, Y = O ≥ R, K > Q > Y
Conclusions: I. Y ≥ R
II. Y > R
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q14. Statements: F ≤ L > T, N = O ≥ P, F > Q > S
Conclusions: I. L > T
II. F > S
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Q15. Statements: X > Y ≥ Z ≥ W, E = F > H, H = A
Conclusions: I. Y = W
II. Y > W
(a) If only conclusion I follows
(b) If only conclusion II follows
(c) If either conclusion I or II follows
(d) If neither conclusion I nor II follows
(e) If both conclusions I and II follows

Directions (16-20): In these questions, relationship between different elements is shown in the statements.These statements are followed by two conclusions.
Mark answer as
(a) If only conclusion I follows.
(b) If only conclusion II follows.
(c) If either conclusion I or II follows.
(d) If neither conclusion I nor II follows.
(e) If both conclusions I and II follow.

Q16. Statements: A>K>D>L, M≤C≤D, L>Q
Conclusions: I. C < K II. A > M

Q17. Statements: T ≥ M ≥ E, E<O, A>E>S
Conclusions: I. T > O II. S < O

Q18. Statements: G≥C>U, P=W≥U, W<N<T
Conclusions: I. G > T II. U < N

Q19. Statements: R>Q>J>D, M≤C≤J
Conclusions: I. D > M II. M ≥ D

Q20. Statements: Z≥V>U, R=E<U, E>M<O
Conclusions: I. Z > E II. U < O

Answers

Answer 1. Ans.(d)

Answer 2. Ans.(e)

Answer 3. Ans.(e)

Answer 4. Ans.(d)

Answer 5. Ans.(c)

Answer 6. Ans.(a)

Answer 7. Ans.(e)

Answer 8. Ans.(d)

Answer 9. Ans.(c)

Answer 10. Ans.(b)

Answer 11. Ans.(a)

Answer 12. Ans.(a)

Answer 13. Ans.(a)

Answer 14. Ans.(e)

Answer 15. Ans.(c)

Answer 16. Ans.(e)

Answer 17. Ans.(b)

Answer 18. Ans.(b)

Answer 19. Ans.(c)

Answer 20. Ans.(a)