PROMISEDPAGE

Inequality Reasoning Questions

Questions 46-50 with interactive 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 46

Statements:

M > A > R, G = R < S, F ≤ R ≤ C, Q = C > J

Conclusions:

I. M > F

II. Q = F

III. Q > F

A. Only conclusion I follows

B. Either conclusion II or III follows

C. Only conclusion III follows

D. Both option A and B

E. Both option A and C

Correct Answer: D. Both option A and B

Inequality Chain:

M

>

A

>

R

≤

C

=

Q

F

≤

R

≤

C

=

Q

✓

Conclusion I: M > F is correct (M > A > R ≥ F)

✓

Conclusion II & III: Either Q = F or Q > F is correct (F ≤ R ≤ C = Q)

Explanation: From the statements, we can derive M > A > R ≥ F, so M > F is definitely true. Also, F ≤ R ≤ C = Q, so either Q = F or Q > F must be true.

Question 47

Statements:

J = O ≤ P, T > P > X, Y ≤ X = W, S > Y > R

Conclusions:

I. T > S

II. J < Y

III. W > R

A. Only conclusion I follows

B. Only conclusions II and III follow

C. Only conclusion III follows

D. All the conclusions follow

E. None of the conclusions follow

Correct Answer: C. Only conclusion III follows

Inequality Chain:

J

=

O

≤

P

<

T

S

>

Y

≤

X

=

W

Y

>

R

✗

Conclusion I: T > S cannot be determined

✗

Conclusion II: J < Y cannot be determined

✓

Conclusion III: W > R is correct (W = X ≥ Y > R)

Explanation: From W = X ≥ Y > R, we can conclude W > R. However, we cannot establish a relationship between T and S, or between J and Y based on the given statements.

Question 48

Statements:

B ≤ A < C, M = O > A, V ≥ O > I, I < K = V

Conclusions:

I. B < V

II. A = K

III. I > C

A. Only conclusion I follows

B. Only conclusions II and III follow

C. Either conclusion I or III follows

D. All the conclusions follow

E. None of the conclusions follow

Correct Answer: A. Only conclusion I follows

Inequality Chain:

B

≤

A

<

C

A

<

O

=

M

I

<

O

≤

V

=

K

✓

Conclusion I: B < V is correct (B ≤ A < O ≤ V)

✗

Conclusion II: A = K is incorrect (A < O ≤ V = K)

✗

Conclusion III: I > C is incorrect (I < O > A < C)

Explanation: From B ≤ A < O ≤ V, we can conclude B < V. However, A < O ≤ V = K means A < K, not A = K. Also, I < O > A < C doesn't establish a relationship between I and C.

Question 49

Statements:

Y > U = X < E, L ≥ X > A = W, B < L = C < Z

Conclusions:

I. B > E

II. U < Z

III. A < Y

A. None of the conclusions follow

B. Only conclusion II follows

C. Either conclusion I or II follows

D. Only conclusions II and III follow

E. All the conclusions follow

Correct Answer: D. Only conclusions II and III follow

Inequality Chain:

Y

>

U

=

X

<

E

B

<

L

=

C

<

Z

L

≥

X

>

A

=

W

✗

Conclusion I: B > E cannot be determined

✓

Conclusion II: U < Z is correct (U = X ≤ L = C < Z)

✓

Conclusion III: A < Y is correct (A < X = U < Y)

Explanation: From U = X ≤ L = C < Z, we can conclude U < Z. From A < X = U < Y, we can conclude A < Y. However, we cannot establish a relationship between B and E.

Question 50

Statements:

M < U ≤ D < E, L ≥ O > A = D, K < L = N < F

Conclusions:

I. F > E

II. M < O

III. N ≥ U

A. None of the conclusions follow

B. Only conclusion II follows

C. Either conclusion I or II follows

D. Only conclusion III and either conclusion I or II follows

E. All the conclusions follow

Correct Answer: B. Only conclusion II follows

Inequality Chain:

M

<

U

≤

D

<

E

K

<

L

=

N

<

F

L

≥

O

>

A

=

D

✗

Conclusion I: F > E cannot be determined

✓

Conclusion II: M < O is correct (M < U ≤ D = A < O)

✗

Conclusion III: N ≥ U cannot be determined

Explanation: From M < U ≤ D = A < O, we can conclude M < O. However, we cannot establish a relationship between F and E, or between N and U based on the given statements.