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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: How many girls are taller than Shravan in his class ? Statements:
  1. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
  2. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.

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:A - I alone is sufficient while II alone is not sufficient

Explanation: From I, we conclude that there are 16 students and 11 boys taller than Shravan. This implies that there are 5 girls taller than Shravan. In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.