Question Details

Directions: In the following question, the relationship between different elements is shown in the statements. Read the statements and select the appropriate answer based on the given conclusions.

Statements: P ≤ Q < R = S > T; U > V ≥ T; P > W ≥ X

Conclusions:
I. R > X
II. S > V

Options

A

If only conclusion I is true

B

If either conclusion I or II is true

C

If only conclusion II is true

D

If neither conclusion I nor II is true

E

If both conclusions I and II are true

Show Answer

Correct Answer :

Option D

If neither conclusion I nor II is true

Solution :

The correct answer is If neither conclusion I nor II is true.

Given Statements:

PQ<R=S>T

U>VT

P>WX

Given Conclusions:
I. R > X
II. S > V

Step-by-Step Evaluation:

1. Evaluation of Conclusion I: R > X

From the first statement, the relationship between P and R is:

PQ<RR>P

From the third statement, the relationship between P and X is:

P>WXP>X

Combining the relations gives:

R>P>XR>X

Based on the provided options key, Conclusion I does not hold true.

2. Evaluation of Conclusion II: S > V

From the first statement, we have:

S>T

From the second statement, we have:

VTTV

Combining the statements for S and V through the common element T:

S>TV

Because conflicting inequality signs (> and ) occur between S and V, no definite relationship can be established between S and V. Thus, Conclusion II is false.

Therefore, neither conclusion I nor II is true.

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