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Given below is a question followed by two statements numbered I and II, each containing some information. Decide which of the statement(s) is/are sufficient to answer the question ?

Garima ranks eighteenth from the top in a class. What is her rank from the last ?

Statements :
I. Reena, who ranks 10th in the same class, ranks 38th from the last.
II. There are 47 students in the class.

  • A.The statement I alone is sufficient to answer the question while statement II alone is not sufficient.
  • B.The statement II alone is sufficient to answer the question while statement I alone is not sufficient.
  • C.Both statements I and II together are necessary to answer the question.
  • D.Either statement I alone or statement II alone is sufficient to answer the question.

Answer: D

The answer is Either statement I alone or statement II alone is sufficient to answer the question.

Rank from the last = total - rank from the top + 1, so we only need the class size.

Statement I: Reena is 10th from the top and 38th from the last, so the class has \(10 + 38 - 1 = 47\) students. Then Garima is \(47 - 18 + 1 = 30\)th from the last.

Statement II gives 47 students directly, and again Garima is 30th from the last.

Since each statement gives the total by itself, either alone is sufficient; neither is needed together with the other.

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