Question Details

Statements: A ≤ P > N ≥ G=B; M> N≥ I =L<Q
Conclusions : I. L≤G II. G<M
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 B

If only conclusion II is true.

Solution :

The correct answer is: If only conclusion II is true.

Let us analyze the given statements and conclusions step-by-step.

Step 1: Analyze the given statements
We are given two statements:
1) AP>NG=B
2) M>NI=L<Q

Step 2: Evaluate Conclusion I (LG)
To find the relationship between L and G, we look for a common element in both statements. The common element is N.
From Statement 1, we have:
NG
From Statement 2, we have:
NI=L, which simplifies to NL.
Since both G and L are less than or equal to N (GN and LN), there is no direct path or definitive relationship between L and G. Therefore, Conclusion I cannot be established as definitely true.

Step 3: Evaluate Conclusion II (G<M)
To find the relationship between G and M, we again connect them through the common element N:
From Statement 1, we have:
NG (or GN)
From Statement 2, we have:
M>N
Combining these two inequalities, we get:
M>NG
This simplifies to:
M>G, which is equivalent to G<M.
Therefore, Conclusion II is definitely true.

Conclusion:
Since only Conclusion II is true, the correct option is If only conclusion II is true.

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