Question

In this question, a statement is followed by four conclusions. Find out which conclusion is true based on the given statement.

Statement:
B \leq T = N > O = Q \geq M = R

Conclusions:

1. $N \geq B$

2. N < B

3. O < R

4. T < M

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer:

A. 1

Conclusion 1 ($N \geq B$) is true.

B \leq T = N > O = Q \geq M = R:

• Conclusion 1 ($N \geq B$) is TRUE: Tracing the path from $B$ to $N$, we have $B \leq T = N$. This simplifies directly to $B \leq N$, which can be rewritten as $N \geq B$.

• Conclusion 2 (N < B) is FALSE: As established above, the true relationship is $N \geq B$, which directly contradicts N < B.

• Conclusion 3 (O < R) is FALSE: Looking at the path from $O$ to $R$, we have $O = Q \geq M = R$. This simplifies to $O \geq R$, meaning O < R is false.

• Conclusion 4 (T < M) is FALSE: Between $T$ and $M$, the path is T = N > O = Q \geq M. Combining these gives T > M, which directly contradicts T < M.