Saturday, October 25, 2025

Reasoning Inequalities Questions

Reasoning Inequalities Questions

Questions 21-25 with visual inequality chains

Question 21

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.

Statements: D ≥ S, X < W, S = J, W > Y, X > D, Y ≤ O, J ≥ E

Conclusions: (i) D > E (ii) D = E (iii) O > S

A. Only conclusion (i) follows
B. Both conclusions (i) and (iii) follow
C. Only conclusion (iii) follows
D. Either conclusion (i) or (ii) follows
E. All the conclusions follow
Correct Answer: D. Either conclusion (i) or (ii) follows

Combined Inequality Chain:

X
>
D
S
=
J
E

From this chain: D ≥ E (so either D > E or D = E)

Other relationships:

W
>
Y
O

No direct relationship between O and S can be established.

Explanation: From D ≥ S = J ≥ E, we get D ≥ E. This means either D > E or D = E, so either conclusion (i) or (ii) follows. No definite relationship can be established between O and S.

Question 22

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.

Statements: W < X, Y = Z, V < U, X > Z, G ≥ Y, W > U, H = V

Conclusions: (i) G > X (ii) W > H (iii) Y = H

A. Only conclusion (i) follows
B. Both conclusions (i) and (iii) follow
C. Only conclusion (ii) follows
D. Either conclusion (i) or (ii) follows
E. None of the conclusions follow
Correct Answer: C. Only conclusion (ii) follows

Combined Inequality Chain:

G
Y
=
Z
<
X

From this chain: G ≥ Y = Z < X → G < X or G ≤ X (not G > X)

W
>
U
>
V
=
H

From this chain: W > U > V = H → W > H

Explanation:
- Conclusion (i): G ≥ Y = Z < X → We cannot say G > X
- Conclusion (ii): W > U > V = H → W > H (follows)
- Conclusion (iii): Y = Z < X and H = V < U < W → No relationship between Y and H

Question 23

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.

Statements: P < K, B ≥ D, K = E, H > B, P ≤ G, E > T, D = G

Conclusions: (i) K > T (ii) B > P (iii) B = P

A. Only conclusion (i) follows
B. Both conclusions (i) and (ii) follow
C. Both A and D follows
D. Either conclusion (ii) or (iii) follows
E. None of the conclusions follow
Correct Answer: D. Either conclusion (ii) or (iii) follows

Combined Inequality Chain:

H
>
B
D
=
G
P
<
K
=
E
>
T

Conclusion Analysis:

K > T
Follows (from K = E > T)
B ≥ P
Either B > P or B = P

Explanation:
- Conclusion (i): K = E > T → K > T (follows)
- From B ≥ D = G ≥ P → B ≥ P, which means either B > P or B = P
- So either conclusion (ii) or (iii) follows

Question 24

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.

Statements: S < V, P = M, T > V, M < I, R = I, P < T

Conclusions: (i) I > P (ii) S > M (iii) I < T

A. Only conclusion (i) follows
B. Both conclusions (i) and (ii) follow
C. Only conclusion (ii) follows
D. Either conclusion (i) or (ii) follows
E. None of the conclusions follow
Correct Answer: A. Only conclusion (i) follows

Combined Inequality Chain:

S
<
V
<
T
>
P
=
M
<
I
=
R

Conclusion Analysis:

I > P
Follows (from P = M < I)
S > M
Does not follow (S < V < T > P = M)
I < T
Does not follow (T > P = M < I)

Explanation:
- Conclusion (i): P = M < I → I > P (follows)
- Conclusion (ii): S < V < T > P = M → No direct relationship between S and M
- Conclusion (iii): T > P = M < I → No direct relationship between I and T

Question 25

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.

Statements: X ≥ T, Z < K, K < H, F = Q, T < Z, F > H

Conclusions: (i) T < F (ii) Q > K (iii) Z < F

A. Only conclusion (i) follows
B. Both conclusions (i) and (ii) follow
C. Only conclusion (ii) follows
D. Either conclusion (i) or (ii) follows
E. All the conclusions follow
Correct Answer: E. All the conclusions follow

Combined Inequality Chain:

X
T
<
Z
<
K
<
H
<
F
=
Q

Conclusion Analysis:

T < F
Follows (from T < Z < K < H < F)
Q > K
Follows (from K < H < F = Q)
Z < F
Follows (from Z < K < H < F)

Explanation:
- From the combined chain: T < Z < K < H < F = Q
- Conclusion (i): T < F (follows directly)
- Conclusion (ii): Q > K (follows from K < H < F = Q)
- Conclusion (iii): Z < F (follows from Z < K < H < F)
All three conclusions follow.

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