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Question

Who has secured the maximum marks among six friends A,B,C,D,E and F ?
Statement I: B secured less marks than A and F but not less than C, D and E.
Statement II: F secured more marks than B but not as m u c h as A.

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.
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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.
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C
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
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D
If the data even in both statements I and II together are not sufficient to answer the question.
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E
If the data in both statements I and II together are necessary to answer the question.
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Solution

The correct option is E If the data in both statements I and II together are necessary to answer the question.
  • From statement 1, the order of marks obtained is A, F > B > C, D, E. So, either A or F has secured maximum marks. Thus, NOT SUFFICIENT.
  • From statement 2, the order of marks obtained is A > F > B. Thus, NOT SUFFICIENT.
  • Combining 1 and 2, we can deduce that A secured the maximum marks.
  • Thus, the data in both statements I and II together are necessary to answer the question.

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