Five field plots ($V, W, X, Y, Z$) are ranked according to their grain yield:
- Plot $V$ yielded more than Plot $W$.
- Plot $X$ yielded more than Plot $Y$ but less than Plot $W$.
- Plot $Z$ yielded more than Plot $V$.
Which of the following statements is/are TRUE?
Options:
(A) Plot $Z$ has the highest yield among all five plots.
(B) Plot $Y$ has the lowest yield among all five plots.
(C) Plot $W$ yielded more than Plot $X$.
(D) Plot $V$ yielded less than Plot $X$.
Answer Key:
A, B, C
Step-by-Step Solution & Explanation
**Method 1: Strict Inequality Ordering**
From the given conditions:
1. $V > W$
2. $W > X > Y$
3. $Z > V$
Combining all inequalities gives the strict ordering:
$Z > V > W > X > Y$
- (A) $Z$ is the highest. True.
- (B) $Y$ is the lowest. True.
- (C) $W > X$. True.
- (D) $V > X$, so (D is False).
Therefore, options **A**, **B**, and **C** are true.