Data Sufficiency: Marks Comparison

XAT 2016 · Quantitative Ability & Data Interpretation · Easy · Quantitative Ability

Anita, Biplove, Cheryl, Danish, Emily and Feroze compared their marks among themselves. Anita scored the highest marks, Biplove scored more than Danish. Cheryl scored more than at least two others and Emily had not scored the lowest.

Statement I: Exactly two members scored less than Cheryl. Statement II: Emily and Feroze scored the same marks.

Which of the following statements would be sufficient to identify the one with the lowest marks?

  1. A.

    Statement I only.

  2. B.

    Statement II only.

  3. C.

    Both Statement I and Statement II are required together.

  4. D.

    Neither Statement I nor Statement II is sufficient.

  5. E.

    Either Statement I or Statement II is sufficient.

Answer

B

Explanation

Anita is highest. B>DB > D. Emily is not lowest. Statement II: E=FE = F, so neither EE nor FF scored lowest. Since AA is highest, CC scored more than at least two others, and B>DB > D, Danish (DD) must be the lowest scorer. Thus Statement II alone is sufficient.

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