Question

Based on the given statement, two conclusions are drawn. Find out which conclusion is true based on the statement.

Statement:

B \geq M > G, \, S < G \geq Y = L

Conclusions:

1. B > Y

2. $M = L$

• A. Only conclusion 1 is true
• B. Only conclusion 2 is true
• C. Both conclusions 1 and 2 are true
• D. Neither conclusion 1 nor 2 is true

Answer 1

Answer:

A. Only conclusion 1 is true

Evaluating Conclusion 1: B > Y

1. Extract the paths containing $B$ and $Y$ relative to $G$:

   • B \geq M > G (which simplifies to B > G)

   • $G \geq Y$

2. Combine them into a single chain:

   • B > G \geq Y

3. When we follow the symbols from $B$ to $Y$, the strict greater-than sign (>) takes priority over the greater-than-or-equal-to sign ($\geq$).

4. This yields a definite relationship: B > Y.

Therefore, Conclusion 1 is true.

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Evaluating Conclusion 2: $M = L$

1. Extract the paths containing $M$ and $L$ relative to $G$:

   • M > G

   • $G \geq L$ (since $Y = L$, $G \geq Y$ becomes $G \geq L$)

2. Combine them into a single chain:

   • M > G \geq L

3. When we follow the path from $M$ to $L$, we see that $M$ is strictly greater than $G$, and $G$ is greater than or equal to $L$. This means $M$ must be strictly greater than $L$ (M > L).

Therefore, Conclusion 2 is false because $M$ can never equal $L$.

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Final Verdict:

Only Conclusion 1 follows.