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Data Sufficiency - Verbal and Reasoning

Directions to SolveIn each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements andGive 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
  • (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
  • (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
  • (D) If the data given in both statements I and II together are not sufficient to answer the question and
  • (E) If the data in both statements I and II together are necessary to answer the question.
Q1:

Question: Who among P, Q, R, S and T is the lightest? Statements:
  1. R is heavier than Q and T but lighter than S.
  2. S is not the heaviest.

A I alone is sufficient while II alone is not sufficient

B II  alone is sufficient while I alone is not sufficient

C Either I or II is sufficient

D Neither I nor II is sufficient

E Both I and II are sufficient

ANS:D - Neither I nor II is sufficient

Explanation: From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q. From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.