Question Details

In these questions, a relationship between different elements is shown in the statements. The statements are followed by two conclusions. Give answer

Statements:
P < Q R S = T < U
Conclusions:
I. T < Q
II. T = Q

Options

A

If only conclusion I is true.

B

If only conclusion II is true.

C

If either conclusion I or II is true.

D

If neither conclusion I nor II is 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.

Step-by-Step Explanation:

Given Statement:

P < Q R S = T < U

To evaluate the given conclusions, let us derive the direct relationship between elements Q and T:

From the statement chain, we have:

Q R S = T

Combining these inequality signs gives:

Q T

This relationship can also be expressed as:

T Q


Evaluating Conclusion I: T<Q
Since the established statement proves that TQ, T cannot be strictly less than Q. Therefore, Conclusion I is false.


Evaluating Conclusion II: T=Q
The relation TQ indicates that T could either be strictly greater than Q or equal to Q. Because equality is only a possibility and not a definite certainty, Conclusion II is also not necessarily true.

Hence, neither conclusion I nor conclusion II is true.

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