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.


Step-by-step Explanation:

Let us analyze the given statements and combine them into a logical chain of inequalities.

Given Statements:

1. X>C=VB

2. B<N=M

3. Z>X


Evaluating Conclusion I: XM

From statement 1, we know that X>B. From statement 2, we know that B<M.

Combining these relations gives: X>B<M.

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


Evaluating Conclusion II: Z>B

From statement 3, we have Z>X.

From statement 1, we have X>C=VB, which clearly implies X>B.

Combining Z>X and X>B yields:

Z>X>BZ>B

Thus, Conclusion II is definitely true and follows logically.


Hence, only conclusion II is correct.

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