James’s grade point average puts him in the top third of the graduating class of college A. Nestor is in the top tenth of the same class. Elizabeth had the same grade point average as Nestor. Nancy has a lower grade point average than Elizabeth.
If the information above is true, which of the following must also be true?We know that Nestor and Elizabeth have the same GPA, and Nancy’s GPA is lower than Elizabeth’s. Therefore, Nancy’s GPA must also be lower than Nestor’s.
(A) James has a higher grade point average than Elizabeth.
Incorrect. We cannot determine James’s exact GPA relative to Elizabeth’s.
(B) James has a higher grade point average than Nancy.
Incorrect. James is in the top third, but Nancy’s exact position is unknown. She could still have a higher GPA than James.
(C) Nestor has a higher grade point average than Nancy.
Correct. Elizabeth and Nestor have the same GPA, and Nancy has a lower GPA than Elizabeth. Therefore, Nestor must have a higher GPA than Nancy.
(D) Elizabeth and Nancy both have a higher grade point average than James.
Incorrect. We cannot determine either person’s exact GPA relative to James’s.
(E) Nestor and James both have a higher grade point average than Nancy.
Incorrect. Nestor must have a higher GPA than Nancy, but James does not necessarily have a higher GPA than Nancy.
Answer: (C)