PROMISEDPAGE

Inequality Reasoning Questions

Questions 16-20 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 16

Statements:

P ≥ I, N < J, R > A = P, I = J

Conclusions:

I. R ≥ I

II. A > N

A. Only conclusion II follows

B. Only conclusion I follows

C. Both conclusion I and II follow

D. Neither conclusion I nor conclusion II follows

E. Either conclusion I or conclusion II follows

Correct Answer: A. Only conclusion II follows

Combined Inequality Chain:

R

>

A

=

P

≥

I

=

J

>

N

Conclusion I (R ≥ I): Does not follow - From the chain, we have R > A = P ≥ I, which means R > I, not R ≥ I.

Conclusion II (A > N): Follows - From the chain, we have A = P ≥ I = J > N, so A > N.

Question 17

Statements:

N > U ≥ M = B, D ≥ R ≤ E > B

Conclusions:

I. E > M

II. N < D

A. Only conclusion II follows

B. Only conclusion I follows

C. Both conclusion I and II follow

D. Neither conclusion I nor conclusion II follows

E. Either conclusion I or conclusion II follows

Correct Answer: B. Only conclusion I follows

Combined Inequality Chain:

N

>

U

≥

M

=

B

<

E

D

≥

R

≤

E

Conclusion I (E > M): Follows - From the chain, we have M = B < E, so E > M.

Conclusion II (N < D): Does not follow - There is no direct relationship between N and D that can be established.

Question 18

Statements:

U < I, V = E, R ≥ V, I < N < R

Conclusions:

I. R > U

II. I ≥ E

A. Only conclusion II follows

B. Only conclusion I follows

C. Both conclusion I and II follow

D. Neither conclusion I nor conclusion II follows

E. Either conclusion I or conclusion II follows

Correct Answer: B. Only conclusion I follows

Combined Inequality Chain:

U

<

I

<

N

<

R

≥

V

=

E

Conclusion I (R > U): Follows - From the chain, we have U < I < N < R, so R > U.

Conclusion II (I ≥ E): Does not follow - From the chain, we have I < N < R ≥ V = E, which doesn't establish a clear relationship between I and E.

Question 19

Statement:

S > M = Z > T < Q > V

Conclusions:

I. V = S

II. Q > M

A. Only conclusion I follows

B. Only conclusion II follows

C. Both conclusion I and II follow

D. Neither conclusion I nor conclusion II follows

E. Either conclusion I or conclusion II follows

Correct Answer: D. Neither conclusion I nor conclusion II follows

Inequality Chain:

S

>

M

=

Z

>

T

<

Q

>

V

Conclusion I (V = S): Does not follow - There is no relationship between V and S in the chain.

Conclusion II (Q > M): Does not follow - We have M = Z > T < Q, which doesn't establish a clear relationship between Q and M.

Question 20

Statement:

T < U = V ≥ S > P ≥ Q

Conclusions:

I. S > T

II. V > Q

A. Only conclusion I follows

B. Only conclusion II follows

C. Both conclusion I and II follow

D. Neither conclusion I nor conclusion II follows

E. Either conclusion I or conclusion II follows

Correct Answer: B. Only conclusion II follows

Inequality Chain:

T

<

U

=

V

≥

S

>

P

≥

Q

Conclusion I (S > T): Does not follow - We have T < U = V ≥ S, which means S could be less than, equal to, or greater than T. No definite relationship.

Conclusion II (V > Q): Follows - From the chain, we have V ≥ S > P ≥ Q, so V > Q.