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A question is given, followed by two statements labelled I and II. Read the question and the statements, and decide whether the data provided in the statements are sufficient/necessary to answer the question.

Question:
What is Salman's rank from the top in a class of 50 students?

Statements:
I. Amir is 15th from the top in the class.
II. There are 5 students between Amir and Salman in the class.

  • A.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.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.The data given in both statements I and II together are necessary to answer the question.
  • D.The data given in both statements I and II together are not sufficient to answer the question.

Answer: D

The two statements together are not sufficient. Statement I places Amir 15th from the top. Statement II says there are 5 students between Amir and Salman, so Salman is 5 places beyond Amir on either side: 15 + 6 = 21st from the top, or 15 - 6 = 9th from the top.

Both are possible, because nothing says whether Salman is above or below Amir, so the rank cannot be fixed. Statement I alone gives nothing about Salman and Statement II alone gives no starting rank, so options A and B are wrong, and option C is wrong because even together they leave two answers.

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