Question Details

Based on the statements provided, determine the validity of the two conclusions that follow them.

Statements:
X > C = V ≥ B, B < N = M, Z > X
Conclusions:
I: X ≤ M
II: Z > B

Options

A

If only conclusion II is correct.

B

If only conclusion I is correct.

C

If both conclusions I and II are correct.

D

If either conclusion I or II is correct.

E

If neither conclusion I nor II is correct.

Show Answer

Correct Answer :

Option A

If only conclusion II is correct.

Solution :

The correct option is If only conclusion II is correct.

Let us analyze the given statements and check the validity of each conclusion step-by-step.

Given Statements:

1. Z>X>C=VB

2. B<N=M

Analysis of Conclusion I: XM

From the given statements, the path connecting X to M goes through B:

X>B and B<M

Since the inequality signs between X and M are in opposite directions (> and <), no definite relationship can be established between X and M.
Hence, Conclusion I does not follow.

Analysis of Conclusion II: Z>B

Combining the relationship from Z to B:

Z>X>C=VB

Since all the inequality signs from Z to B point in the same direction, with strict inequality signs (>) present in the chain, it strictly follows that:

Z>B

Hence, Conclusion II is definitely correct.

Therefore, only conclusion II is correct.

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