Based on the given statement, two conclusions are drawn. Find out which conclusion is true based on the statement.
Statement : Z > R ≥ Y > P = Q ≤ N < S
Conclusions :
i. P > S
ii. Z < Q

Correct option is A

Given:

Statement: Z > R ≥ Y > P = Q ≤ N < S
Conclusions:
i. P > S
ii. Z < Q

Formula Used:

Use the transitive properties of inequalities to analyze the relationships among variables.
- If A > B and B > C, then A > C .$$- If A \geq B and B \geq C , then A \geq C$$​​

Solution:

1. Analyzing Conclusion (i): P > S

- From the statement, we have the relationships: P = Q ≤ N < S.

- This means P is either equal to or less than N, which is less than S.

- Therefore, P cannot be greater than S.
- Conclusion (i) is False.

2. Analyzing Conclusion (ii): Z < Q

- From the statement, we have Z > R ≥ Y > P = Q.

- This shows Z is greater than Q (since Z > R ≥ Y > P = Q).

- Therefore, Z cannot be less than Q.
- Conclusion (ii) is False.

Answer: Both conclusions (i) and (ii) are False based on the given statement.