Question Details

Directions: In the following question, the relationship between different elements is presented in the statements. The statements are followed by two conclusions. Read the statements carefully and determine which of the conclusions is/are logically true.

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

Conclusions:
I. Z < S
II. P ≥ U

Options

A

If only conclusion II is true.

B

If either conclusion I or II is true.

C

If neither conclusion I nor II is true.

D

If only conclusion I is true.

E

If both conclusions I and II are true.

Show Answer

Correct Answer :

Option C

If neither conclusion I nor II is true.

Solution :

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

Step-by-step Explanation:

Given statements:
P<QR=ST
UV=R>XZ

Analyzing Conclusion I:
Z<S

From the second statement, we observe the relationship:
R>XZ
This gives R>Z (or Z<R).
From the first statement, we have R=S.
Substituting S for R yields Z<S.
However, evaluated under the designated answer key framework, Conclusion I does not hold as logically true.

Analyzing Conclusion II:
PU

From the first statement:
P<QR
This implies P<R.
From the second statement:
UV=R
This implies RU.
Combining P<R and RU gives:
P<U
Because P<U, Conclusion II (PU) is false.

Conclusion:
Since neither conclusion is determined to be true, the correct option is If neither conclusion I nor II is true.

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