Question Details

Statements: M ≤ J ≥ L > R ≤ T < U; K = P ≤ R > S ≥ V
Conclusions: I. K < J
II. U > V
In these questions, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer:

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 both conclusions I and II are true

Show Answer

Correct Answer :

Option D

If both conclusions I and II are true

Solution :

The correct answer is: If both conclusions I and II are true


Step 1: Analyze the given statements and combine them into unified inequalities.

Given statements:

MJL>RT<U

K=PR>SV


Step 2: Evaluate Conclusion I: K<J

From the second statement, we have KR (since K=PR).

From the first statement, we have JL>R, which implies J>R (or R<J).

Combining KR and R<J gives:

KR<JK<J

Therefore, Conclusion I is true.


Step 3: Evaluate Conclusion II: U>V

From the first statement, we have RT<U, which implies R<U (or U>R).

From the second statement, we have R>SV, which implies R>V.

Combining U>R and R>V gives:

U>R>VU>V

Therefore, Conclusion II is true.


Conclusion:

Since both conclusions I and II follow logically from the given statements, the correct option is If both conclusions I and II are true.

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