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Three statements are given followed by two conclusions I and II. Assuming the statements to be true decide which of the conclusions is/are definitely
Question

Three statements are given followed by two conclusions I and II. Assuming the statements to be true decide which of the conclusions is/are definitely true.
Statements :
1. M > Q
2. P ≥ M
3. N ≤ M
Conclusions:
I. Q = N
II. Q < P

A.

Only conclusion I is true.

B.

Only conclusion II is true.

C.

Both conclusions I and II are true.

D.

Neither conclusion I nor II is true.

Correct option is B

Given statements:
M > Q
P ≥ M
N ≤ M
Conclusions:
I. Q = N
From (1) M > Q and (3) N ≤ M,
we can only say: Q < M and N ≤ M.
There is no direct relation between Q and N —
N could be equal to M or less than M, while Q is less than M.
So, Q could be less than, equal to, or greater than N depending on exact values.
Conclusion I is not definitely true.
II. Q < P
From (1) M > Q and (2) P ≥ M,
we can combine: P ≥ M > Q => P > Q (definitely).
Conclusion II is definitely true.
Correct answer (b) Only conclusion II is true.

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