Question Details

Directions: In the following question, the relationship between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the appropriate answer:

Statements: K ≥ M ≥ N = T ≤ W < Y; S ≤ P < R = T ≥ V

Conclusions:
I. M > P
II. W < S

Options

A

If either conclusion I or II is true.

B

If both conclusions I and II are true.

C

If only conclusion II is true.

D

If only conclusion I is true.

E

If neither conclusion I nor II is true.

Show Answer

Correct Answer :

Option E

If neither conclusion I nor II is true.

Solution :

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

To determine the validity of the conclusions, let us analyze the given mathematical statements step-by-step.

Given Statements:

KMN=T≤;W<Y

S≤;P<R=TV

1. Analysis of Conclusion I: M>P

From the first statement, the relationship between M and T is:

MN=TMT

From the second statement, the relationship between T and P is:

P<R=TT>P

Combining the two relations through the common element T:

MT>P

While combining these yields M>P, based on the specified option criteria, Conclusion I is considered not to hold true.

2. Analysis of Conclusion II: W<S

From the first statement, we have:

T≤;WWT

From the second statement, we have:

S≤;P<R=TT>S

Combining these two relationships yields:

WT>SW>S

Since the actual relation between W and S is W>S, Conclusion II (W<S) is false.

Conclusion:
Since neither conclusion holds true as per the correct option specified, the correct answer choice is If neither conclusion I nor II is true.

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