Data sufficiency Questions and Answers with Explanation-2

Directions (3 – 4): Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Read both statements and
Give answer A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give answer B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give answer C) If the data in statement I alone or in statement II alone are sufficient to answer the question.
Give answer D) If the data in both the statements I and II are not sufficient to answer the question.
Give answer E) if the data in both the statements I and II together are necessary to answer the question.

3) Who among P, Q, R, S and T is the shortest?
I. R, though not the shortest, is shorter than only Q.
II. S, though not as tall as P, is not the shortest.
Answer: E.
Explanation: From statement I ─> Q > R > _ > _ > _. ( R is shorter than only Q means only Q is taller R and P, S & T are shorter than R.)
From statement II ─> P > S > _ > _ > _ or _ > P > S > _ > _ or _> _ > P > S > _ .
From both the statements I & II ─> Q > R > P > S > _. ─> Q >R > P > S > T. So, T is the shortest.

4) Who among M, N, O, P and Q is the youngest?
I. N, the second youngest, is younger than Q, O and M.
II. O, the second oldest, is older than N.
Answer: A.
Explanation : From statement I ─> Q, O and M are older than N and N is the second youngest. So, the other person P is the youngest. The order may be Q > O > M > N > P.
From statement II ─> _ > O > N > _ > _. So, there is no clue about the youngest.

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