A question and two statements are given below. Select the statement which is necessary/sufficient to answer the question. Question: X is taller than Y and Z is shorter than W, who is the shortest? Statements: 1. Z is shorter than X. 2. W is shorter than Y.

A question and two statements are given below. Select the statement which is necessary/sufficient to answer the question. Question: X is taller than Y and Z is shorter than W, who is the shortest? Statements: 1. Z is shorter than X. 2. W is shorter than Y. Correct Answer Only 2 is <span style="">sufficient</span> while only 1 is not <span style="">sufficient</span>.

Given that,

X is taller than Y and Z is shorter than W.

⇒ X > Y and W > Z

We need to determine who is the shortest one.

Statement 1: Z is shorter than X.

⇒ X > Y and W > X > Z

⇒ X > Y, Z

  • This statement alone is not sufficient as the shortest person can be Z or Y.

 

Statement 2: W is shorter than Y.

⇒ X > Y > W > Z

  • Therefore, Z is the shortest person.
  • Thus, statement 2 is sufficient to determine the shortest person.

Hence, "Only 2 is sufficient while only 1 is not sufficient" is the correct answer.

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