Saturday, October 25, 2025

Reasoning Inequalities Questions

Reasoning Inequalities Questions

SBI PO Pre, IBPS PO Pre, LIC AAO, RBI Assistant and other Competitive Exams

Directions:

In these questions, relationship between different elements is shown in the statements. Some statements are followed by some conclusions. Choose the correct answer on the basis of information given below.

Question 1
Statements: B > A ≥ T > F = Y ≤ S < D
Conclusions: F < D, A > S
A. Only conclusion I follows
B. Either conclusion I or conclusion II follows
C. Only conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
Correct Answer: A. Only conclusion I follows

Inequality Chain:

B
>
A
T
>
F
=
Y
S
<
D

Explanation:

From the chain: F = Y ≤ S < D → F < D (Conclusion I follows)

But A ≥ T > F = Y ≤ S → relationship between A and S cannot be determined (Conclusion II does not follow)

Question 2
Statements: Y < O ≤ G ≤ K = U > L > P
Conclusions: O = U, U > O
A. Only conclusion I follows
B. Either conclusion I or conclusion II follows
C. Only conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
Correct Answer: B. Either conclusion I or conclusion II follows

Inequality Chain:

Y
<
O
G
K
=
U
>
L
>
P

Explanation:

From the chain: O ≤ G ≤ K = U → O ≤ U

This means either O = U or O < U (U > O)

So either conclusion I or II follows

Question 3
Statements: M < T < G ≤ J = U > Y > R
Conclusions: G < U, J > R
A. Only conclusion I follows
B. Either conclusion I or conclusion II follows
C. Only conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
Correct Answer: C. Only conclusion II follows

Inequality Chain:

M
<
T
<
G
J
=
U
>
Y
>
R

Explanation:

From the chain: G ≤ J = U → G ≤ U, not G < U (Conclusion I does not follow)

J = U > Y > R → J > R (Conclusion II follows)

Question 4
Statement: 3 ≥ 9 < 7 ≤ 10 = 2 ≤ 6
Conclusions: I. 6 > 9 II. 9 ≤ 2
A. Only conclusion I follows
B. Only conclusion II follows
C. Either conclusion I or conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
Correct Answer: A. Only conclusion I follows

Inequality Chain:

3
9
<
7
10
=
2
6

Explanation:

From the chain: 9 < 7 ≤ 10 = 2 ≤ 6 → 9 < 6 → 6 > 9 (Conclusion I follows)

9 < 2 → 9 ≤ 2 is false (Conclusion II does not follow)

Question 5
Statement: P ≤ R ≤ C = S > Q > T
Conclusions: I. P < Q II. S ≥ P
A. Only conclusion I follows
B. Only conclusion II follows
C. Either conclusion I or conclusion II follows
D. Both conclusions follow
E. Neither conclusion I nor conclusion II follows
Correct Answer: B. Only conclusion II follows

Inequality Chain:

P
R
C
=
S
>
Q
>
T

Explanation:

From the chain: P ≤ R ≤ C = S → P ≤ S → S ≥ P (Conclusion II follows)

P ≤ S > Q → relationship between P and Q cannot be determined (Conclusion I does not follow)

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