Question Details

For the questions below, assume the statements provided are true and determine which of the conclusions logically follow. Mark your answer accordingly.

Statement:
P > S ≥ Z, M ≤ N < Z, N = W
Conclusions:
I. S > M
II. W ≤ P

Options

A

Only conclusion I holds true

B

Both conclusions I and II hold true

C

Only conclusion II holds true

D

Either conclusion I or conclusion II holds true

E

Neither conclusion I nor conclusion II holds true

Show Answer

Correct Answer :

Option A

Only conclusion I holds true

Solution :

The correct answer is Only conclusion I holds true.


Step-by-step breakdown:


1. Combine the given statements:

We are given the following inequality statements:
P>SZ
MN<Z
N=W


Combining these statements relative to Z:
P>SZ>NM
Also, since N=W, we can substitute W for N in the chain:
P>SZ>WM


2. Evaluate Conclusion I: S>M

From our combined relationship chain:
SZ>NM
Since there is a strict inequality sign (>) between Z and N, the relationship between S and M strictly becomes:
S>M
Therefore, Conclusion I logically follows.


3. Evaluate Conclusion II: WP

From our combined relationship chain:
P>SZ>W
This gives a strict inequality relationship:
P>W or W<P
Since W<P, it means W can never be equal to P. Therefore, the statement WP is false.
Therefore, Conclusion II does not follow.


Hence, only conclusion I holds true.

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