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# James s grade point average puts him in the top third of the

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Senior Manager
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James s grade point average puts him in the top third of the [#permalink]

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08 Feb 2005, 02:31
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Jamesâ€™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.

Hi, Can someone explain how this logic is placed?
I worked out as: Ja > Ne = EZ > Na
But guess there is some flaw in it.

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Manager
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08 Feb 2005, 06:29

Give numerical values to each statement, then just compare.

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VP
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08 Feb 2005, 06:40
it is C) !

james=top3
nestor=top10
elizabeth=nestor=top10
nancy<elizabeth

=> nestor>nancy

only C works !

Last edited by christoph on 08 Feb 2005, 09:22, edited 1 time in total.

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Manager
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08 Feb 2005, 07:09
C must be true:
Since Nestor and Elizabeth have the same GPA and Nancy has lower GPA than Elizabeth, Nancy then also has lower GPA than Nestor

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Intern
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08 Feb 2005, 08:10
I go with C too.

James is on top 3-rd of the class while Nelson and Elizabeth are on top 10-th. top 10-th could also mean they are on top 3-rd.

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SVP
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08 Feb 2005, 09:02
sonaketu wrote:
Jamesâ€™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.

J>2/3
Ne>9/10
E=Ne
Na<E
(A) J>E don't know
(B) J>Na don't know
(C) Ne>Na Yes, from Ne=E and Na<E
(D) E>J and Na>J don't know The first one is (A). This can be eliminated even if you don't know that (C) is right. Since if this is right that means (A) is also right, but we can't have two answers.
(E) Ne>Na and J>Na the first one is (C) the second one is (B). This one can be immediately eliminated by the same reason.

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Senior Manager
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08 Feb 2005, 09:09
Thanks HongHu for that explanation.
I didn't consider "top 10-th could also mean they are on top 3-rd."

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08 Feb 2005, 09:09
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# James s grade point average puts him in the top third of the

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