Read the question below followed by two statements. Study them and decide which statement(s) is/are sufficient to answer the question.

Question: P, Q, R, S, and T have different heights. Who among the following is tallest?

Statements:

I) Neither P nor R is the tallest. S is taller than P.

II) P is taller than R and T. S is taller than Q who is not shorter than P.

  1. Neither statement I nor II is sufficient
  2. Statement I alone is sufficient while II alone is not sufficient
  3. Statement II alone is sufficient while I alone is not sufficient
  4. Both statement I and II together is sufficient

Answer (Detailed Solution Below)

Option 3 : Statement II alone is sufficient while I alone is not sufficient
Free
RRB NTPC Graduate Level Full Test - 01
100 Qs. 100 Marks 90 Mins

Detailed Solution

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Statements:

I) Neither P nor R is the tallest. S is taller than P.

S > P

II) P is taller than R and T. S is taller than Q, who is not shorter than P. So, we have the following arrangement.

⇒  P is taller than R and T.

→ P > T > R, or

→ P > R > T ....... (i)

⇒ S is taller than Q

→ S > Q ........   (ii)

⇒ Q is not shorter than P.

→ Q > P   ........ (iii)

Combining all these, we get:

S > Q > P > R/T > T/R

Therefore, S is the tallest.

Only statement II is sufficient to find the tallest person among P, Q, R, S and T.

Hence, option 3 is the correct answer. 

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