Question

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

Statement:
N > W = E ≥ D < Y = P ≤ K

• A. K≤Y
• B. W≥D
• C. D>N
• D. N<E

Answer 1

Answer:

B. W≥D

Left Side Relations

• N > W or N > E

• N > D

• $W = E$

• $W \geq D$ or $E \geq D$

Right Side Relations

• $Y = P$

• $Y \leq K$ or $P \leq K$ (also written as $K \geq Y$ or $K \geq P$)

• D < Y, D < P, or D < K

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The correct conclusion is W ≥ D.

N > W = E ≥ D < Y = P ≤ K:

• W ≥ D (True): Looking at the middle of the expression, we have W = E ≥ D. Since W equals E, we can substitute W for E, which directly gives W ≥ D.

• K ≤ Y (False): Looking at the right side, we have Y = P ≤ K, which simplifies to Y ≤ K. Flipping this gives K ≥ Y, which contradicts the option K ≤ Y.

• D > N (False): Following the path from N to D, we get N > W = E ≥ D. The strict greater-than sign (>) dominates the chain, meaning N > D (or D < N). Therefore, D > N is incorrect.

• N < E (False): Tracing the path from N to E, we have N > W = E. Substituting E for W gives N > E, which directly contradicts N < E.