PROMISEDPAGE

Inequality Reasoning Questions

Questions 31-35 with visual inequality chains

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 31

Statements:

B > A ≥ T > F = Y ≤ S < D

Conclusions:

I. F < D

II. 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

B

>

A

≥

T

>

F

=

Y

≤

S

<

D

✓ Conclusion I: F < D - From F = Y ≤ S < D, we get F < D. This follows.

✗ Conclusion II: A > S - From A ≥ T > F = Y ≤ S, we cannot determine the relationship between A and S. This does not follow.

Explanation: Only conclusion I follows because we can establish F < D from the chain, but we cannot determine the relationship between A and S.

Question 32

Statements:

Y < O ≤ G ≤ K = U > L > P

Conclusions:

I. O = U

II. 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

Y

<

O

≤

G

≤

K

=

U

>

L

>

P

✓ Conclusion I: O = U - From O ≤ G ≤ K = U, O could be equal to U if O = G = K = U.

✓ Conclusion II: U > O - From O ≤ G ≤ K = U, U could be greater than O if O < G or O < K.

Explanation: From O ≤ G ≤ K = U, we get O ≤ U. This means either O = U or O < U (which means U > O). Therefore, either conclusion I or conclusion II follows.

Question 33

Statements:

M < T < G ≤ J = U > Y > R

Conclusions:

I. G < U

II. 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

M

<

T

<

G

≤

J

=

U

>

Y

>

R

✗ Conclusion I: G < U - From G ≤ J = U, we get G ≤ U. G could be equal to U, so we cannot say G < U for certain.

✓ Conclusion II: J > R - From J = U > Y > R, we get J > R. This follows.

Explanation: Conclusion I does not follow because G could be equal to U. Conclusion II follows because J = U > Y > R gives us J > R.

Question 34

Statements:

L ≥ A ≥ C, K = Y ≤ C, H > D ≤ K, A > E < Y

Conclusions:

I. D < A

II. A = D

III. L > Y

A. All the conclusions follow

B. Either conclusion I or II follows

C. Only conclusion III follows

D. Only conclusion II and III follow

E. None of the conclusions follows

Correct Answer: B. Either conclusion I or II follows

L ≥ A ≥ C ≥ Y = K ≥ D < H

A > E < Y ≤ C

✓ Conclusion I: D < A - From D ≤ K = Y ≤ C ≤ A, we get D ≤ A. D could be less than A.

✓ Conclusion II: A = D - From D ≤ K = Y ≤ C ≤ A, D could be equal to A if all are equal.

✗ Conclusion III: L > Y - From L ≥ A ≥ C ≥ Y, we get L ≥ Y. L could be equal to Y, so we cannot say L > Y for certain.

Explanation: From D ≤ K = Y ≤ C ≤ A, we get D ≤ A. This means either D < A or D = A. Therefore, either conclusion I or II follows. Conclusion III does not follow because L could be equal to Y.

Question 35

Statements:

M > H = A, X ≥ G < H, Y < M < P, G > O > K

Conclusions:

I. P > X

II. G < P

III. Y < H

A. All the conclusions follow

B. Either conclusion I or II follows

C. Only conclusion I and III follow

D. Only conclusion II follows

E. None of the conclusions follows

Correct Answer: D. Only conclusion II follows

X ≥ G < H = A < M < P

Y < M > H = A

G > O > K

✗ Conclusion I: P > X - From X ≥ G < H < M < P, we cannot determine the relationship between P and X.

✓ Conclusion II: G < P - From G < H < M < P, we get G < P. This follows.

✗ Conclusion III: Y < H - From Y < M > H, we cannot determine the relationship between Y and H.

Explanation: Only conclusion II follows. We can establish G < P from G < H < M < P. We cannot determine the relationship between P and X, or between Y and H.