bholakc
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?
(A) James has a higher grade point average than Elizabeth.
(B) James has a higher grade point average than Nancy.
(C) Nestor has a higher grade point average than Nancy.
(D) Elizabeth and Nancy both have a higher grade point average than James.
(E) Nestor and James both have a higher grade point average than Nancy.
Let us break down the information=>
James’s grade point average puts him in the top third of the graduating class of college A. =>
J in top thirdNestor is in the top tenth of the same class. =>
Ne in top tenthElizabeth had the same grade point average as Nestor. =>
E=NeNancy has a lower grade point average than Elizabeth. =>
Na<EWe can see we have relative relation only amongst Na, E and Ne.
Let there be 60 students
J in top third => Top 20Ne in top tenth => Top 6E=Ne => E also in top 6Na<E => Navcy is lower than E(A) James has a higher grade point average than Elizabeth.
There is no relation between J and E. It could be
J,a,b,(E&N), .... or
a, (E&N), J....(B) James has a higher grade point average than Nancy.
J could be 9th while Nancy could be 3rd just behind E & Ne
(C) Nestor has a higher grade point average than Nancy.
Ne = E and E> Na
So, Ne>Na
True(D) Elizabeth and Nancy both have a higher grade point average than James.
Again, Nancy is lower than Elizabeth, and therefore could also have the lowest grade in class.
Nancy has a restriction in the upper end but no restrictions in the lower end.
(E) Nestor and James both have a higher grade point average than Nancy.
Again Nancy has restriction with only Nestor & E in upper end, it could easily be in top tenth, that is top 6, while James is between 6th and 10th position.