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In the question 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.
Question: Which number will be greatest in among five numbers?
Statements:
I. Second number is greater than third and fifth number.
II. First number is greater than second number and less than fourth number.

  • 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 necessary to answer the question .

Answer: D

Both statements together are necessary. Statement I alone gives only that the second number is larger than the third and fifth, which leaves the first and fourth numbers unrelated to it, so it cannot name the greatest. Statement II alone says the first number is greater than the second and less than the fourth, which puts the fourth above the first and second but says nothing about the third and fifth. Taken together, the fourth number is greater than the first, the first is greater than the second, and the second is greater than the third and fifth, so the fourth number is the greatest. Neither statement alone is sufficient.

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