Inequality Reasoning Questions
Questions 36-40 with Interactive 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 36
Statements: B > A ≥ T, F = Y ≤ T, S > D ≤ F, Y ≤ X ≤ T
Conclusions: A ≥ F, T > D, B > Y
Correct Answer: D. Only conclusion III follows
B
>
A
≥
T
≥
X
≥
Y
=
F
≥
D
Conclusion I: A ≥ F - Incorrect. From A ≥ T ≥ Y = F, we get A ≥ F, but this is not definitely true as A could be greater than F.
Conclusion II: T > D - Incorrect. We have T ≥ Y = F ≥ D, so T ≥ D, but we cannot say T > D for certain.
Conclusion III: B > Y - Correct. From B > A ≥ T ≥ Y, we get B > Y.
Only conclusion III follows. B > A ≥ T ≥ Y, so B > Y is definitely true.
Question 37
Statements: L ≥ Y ≥ A < R, S > Q = A ≥ I
Conclusions: I. S > Y, II. R > Q
Correct Answer: B. Only conclusion II follows
L
≥
Y
≥
A
<
R
S
>
Q
=
A
≥
I
Conclusion I: S > Y - Incorrect. We know S > Q = A and Y ≥ A, but we cannot determine the relationship between S and Y.
Conclusion II: R > Q - Correct. From R > A and A = Q, we get R > Q.
Only conclusion II follows. Since R > A and A = Q, R > Q is definitely true.
Question 38
Statements: M < A ≤ P > X, P ≥ B = C < Y, C ≥ D > F = L
Conclusions: I. P ≥ D, II. M < C
Correct Answer: A. Only conclusion I follows
M
<
A
≤
P
>
X
P
≥
B
=
C
<
Y
C
≥
D
>
F
=
L
Conclusion I: P ≥ D - Correct. From P ≥ B = C ≥ D, we get P ≥ D.
Conclusion II: M < C - Incorrect. We know M < A ≤ P ≥ B = C, but we cannot determine the relationship between M and C.
Only conclusion I follows. From P ≥ B = C ≥ D, we can definitely say P ≥ D.
Question 39
Statements: J = X ≤ U > Z, M = N ≥ U = P, L = O < N ≥ T
Conclusions: I. J < N, II. O > U
Correct Answer: A. Only conclusion I follows
J
=
X
≤
U
>
Z
M
=
N
≥
U
=
P
L
=
O
<
N
≥
T
Conclusion I: J < N - Correct. From J = X ≤ U ≤ N, we get J ≤ N. Since J = X ≤ U and N ≥ U, and U > Z, J could be equal to U or less, but in either case J ≤ N. Since N ≥ U and U could be equal to J, we can't say J < N for certain. Wait, let me reconsider: J = X ≤ U ≤ N, so J ≤ N. We cannot say J < N for certain as J could be equal to N if J = X = U = N.
Conclusion II: O > U - Incorrect. From O < N ≥ U, we cannot determine the relationship between O and U.
Actually, let me correct this: Conclusion I is J < N. From J = X ≤ U ≤ N, we get J ≤ N. We cannot say J < N for certain as J could be equal to N. So neither conclusion follows.
Question 40
Statements: H ≥ V = O > R, X ≤ D > Y > R, Y > N = L < Z
Conclusions: I. O < D, II. R > N
Correct Answer: D. Only conclusion II follows
H
≥
V
=
O
>
R
X
≤
D
>
Y
>
R
Y
>
N
=
L
<
Z
Conclusion I: O < D - Incorrect. We know O > R and D > Y > R, but we cannot determine the relationship between O and D.
Conclusion II: R > N - Correct. From Y > R and Y > N, we cannot directly say R > N. Let me reconsider: We have O > R and Y > R, and Y > N. But we don't know the relationship between R and N. Actually, from D > Y > R and Y > N, we have R < Y and Y > N, but this doesn't tell us about R and N. R could be greater than, less than, or equal to N. So conclusion II does not follow either.
Let me analyze again: We have O > R and D > Y > R. No direct relationship between O and D. For conclusion II: R < Y and Y > N, but we cannot determine if R > N. For example, if R=5, Y=10, N=7, then R < N. If R=5, Y=10, N=3, then R > N. So neither conclusion follows. The correct answer should be A.
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