PROMISEDPAGE

Inequality Reasoning Questions

Questions 41-45 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 41

Statements:

P < D ≤ U, U = G > B, Y < G ≤ L

Conclusions:

I. L > B

II. P > Y

A. Both conclusions I and II follow

B. Either conclusion I or II follows

C. Only conclusion I follows

D. Only conclusion II follows

E. Neither conclusion I nor II follows

Correct Answer: C. Only conclusion I follows

Explanation:

From the given statements:

P < D ≤ U = G > B and Y < G ≤ L

Conclusion I: L > B → Since G > B and G ≤ L, we can say L ≥ G > B, so L > B follows.

Conclusion II: P > Y → We have P < D ≤ U = G and Y < G. We cannot establish a direct relationship between P and Y, so this does not follow.

P

<

D

≤

U

=

G

>

B

Y

<

G

≤

L

Question 42

Statements:

X > Y ≥ Z, O ≥ X < E, R < O > K

Conclusions:

I. Z < E

II. O > Y

A. Both conclusions I and II follow

B. Either conclusion I or II follows

C. Only conclusion I follows

D. Only conclusion II follows

E. Neither conclusion I nor II follows

Correct Answer: A. Both conclusions I and II follow

Explanation:

From the given statements:

Z ≤ Y < X ≤ O and X < E

Conclusion I: Z < E → Since Z ≤ Y < X and X < E, we can say Z < E follows.

Conclusion II: O > Y → Since Y < X ≤ O, we can say O ≥ X > Y, so O > Y follows.

Z

≤

Y

<

X

≤

O

X

<

E

Question 43

Statements:

F < H < E, J < D > C, F = C < G

Conclusions:

I. H < C

II. D = G

A. Both conclusions I and II follow

B. Either conclusion I or II follows

C. Only conclusion I follows

D. Only conclusion II follows

E. Neither conclusion I nor II follows

Correct Answer: E. Neither conclusion I nor II follows

Explanation:

From the given statements:

F < H < E and F = C < G, and J < D > C

Conclusion I: H < C → We have F < H and F = C, so C < H, not H < C. This does not follow.

Conclusion II: D = G → We have D > C and C < G. No direct relationship can be established between D and G. This does not follow.

F

<

H

<

E

F

=

C

<

G

J

<

D

>

C

Question 44

Statements:

C < D = A, J ≤ G < A, T > J ≥ V

Conclusions:

I. G > V

II. G = V

A. Both conclusions I and II follow

B. Either conclusion I or II follows

C. Only conclusion I follows

D. Only conclusion II follows

E. Neither conclusion I nor II follows

Correct Answer: B. Either conclusion I or II follows

Explanation:

From the given statements:

C < D = A > G ≥ J ≥ V

Conclusion I: G > V → We have G ≥ J ≥ V, so G ≥ V. This could be G > V or G = V.

Conclusion II: G = V → This is also possible from G ≥ J ≥ V.

Since we cannot definitively say whether G > V or G = V, but we know that one of them must be true, either conclusion I or II follows.

C

<

D

=

A

>

G

≥

J

≥

V

Question 45

Statements:

N ≥ K > J, P = M ≥ K, Q ≤ L < M

Conclusions:

I. P > J

II. N > P

A. Both conclusions I and II follow

B. Either conclusion I or II follows

C. Only conclusion I follows

D. Only conclusion II follows

E. Neither conclusion I nor II follows

Correct Answer: C. Only conclusion I follows

Explanation:

From the given statements:

N ≥ K > J and P = M ≥ K, and Q ≤ L < M

Conclusion I: P > J → Since P = M ≥ K > J, we can say P > J follows.

Conclusion II: N > P → We have N ≥ K and P = M ≥ K, so N ≥ K ≤ P. We cannot establish that N > P. This does not follow.

N

≥

K

>

J

P

=

M

≥

K

Q

≤

L

<

M