Inequality Reasoning Questions
Questions 26-30 with visual inequality chain diagrams
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 26
Statements: C = W ≤ T, V > T > L, E ≤ V = I, C > G = E
Conclusions: G < T, C < I
Correct Answer: D. Only conclusion I follows
G
=
E
≤
V
>
T
≥
W
=
C
>
G
Combined inequality: G = E ≤ V > T ≥ W = C > G
Explanation:
Conclusion I (G < T): From G = E ≤ V > T, we cannot establish a definite relationship between G and T. However, from C > G and C = W ≤ T, we get T ≥ W = C > G, so T > G. Thus, G < T is true.
Conclusion II (C < I): From C = W ≤ T < V = I, we get C ≤ T < I, so C < I is true. Wait, let's check again: C = W ≤ T < V = I, so C ≤ T < I, which means C < I is true. But the correct answer says only conclusion I follows. Let me recheck: Actually, C = W ≤ T and T < V = I, so C ≤ T < I, which means C < I is definitely true. There might be an error in the provided answer key. Based on the inequality, both conclusions appear to be true.
Question 27
Statements: A ≥ C > K, J < K ≥ H, L = W ≥ J, B ≤ W = M
Conclusions: A > L, C > H
Correct Answer: B. Only conclusion II follows
A
≥
C
>
K
≥
H
L
=
W
≥
J
<
K
Explanation:
Conclusion I (A > L): We have A ≥ C > K > J ≤ W = L. There's no direct relationship between A and L. A could be greater than, equal to, or less than L. So conclusion I does not follow.
Conclusion II (C > H): From C > K ≥ H, we get C > H. So conclusion II follows.
Question 28
Statements: A ≥ C > K, J < K ≥ H, L = W ≥ J, B ≤ W = M
Conclusions: A > L, C > H
Correct Answer: B. Only conclusion II follows
A
≥
C
>
K
≥
H
L
=
W
≥
J
<
K
Explanation:
Conclusion I (A > L): We have A ≥ C > K > J ≤ W = L. There's no direct relationship between A and L. A could be greater than, equal to, or less than L. So conclusion I does not follow.
Conclusion II (C > H): From C > K ≥ H, we get C > H. So conclusion II follows.
Note: This appears to be a duplicate of Question 27 with the same statements and conclusions.
Question 29
Statements: W < H ≤ L < J ≤ N < V, M = F ≠ J = G ≥ I > Q, U ≤ P < E = C = I
Conclusions: I. E < V II. W < P
Correct Answer: A. Neither C1 nor C2 follows
W
<
H
≤
L
<
J
≤
N
<
V
J
=
G
≥
I
=
C
=
E
>
P
≥
U
Explanation:
Conclusion I (E < V): From J ≤ N < V and J = G ≥ I = C = E, we get E ≤ G = J ≤ N < V, so E ≤ N < V. This means E could be less than V or equal to V (if E = N). Since we don't know if E = N or E < N, we cannot definitively say E < V. So conclusion I does not follow.
Conclusion II (W < P): We have W < H ≤ L < J and P < E = C = I ≤ G = J. So W < J and P < J. There's no direct relationship between W and P. W could be less than, equal to, or greater than P. So conclusion II does not follow.
Question 30
Statements: A > C = B = F ≥ J < M, K = Q ≤ J < Z < N, X = U ≠ K = S ≥ Z > X
Conclusions: I. Z < C II. A > K
Correct Answer: D. Only C2 follows
A
>
C
=
B
=
F
≥
J
≥
Q
=
K
J
<
Z
<
N
K
=
S
≥
Z
>
X
Explanation:
Conclusion I (Z < C): From C = F ≥ J and J < Z, we get C ≥ J < Z. This means C could be less than, equal to, or greater than Z. We cannot establish a definite relationship. So conclusion I does not follow.
Conclusion II (A > K): From A > C = F ≥ J ≥ Q = K, we get A > C ≥ J ≥ K, so A > K. Thus, conclusion II follows.
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