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# Was the average (arithmetic mean) score that Steve got per subject gre

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Math Expert
Joined: 02 Sep 2009
Posts: 58355
Was the average (arithmetic mean) score that Steve got per subject gre  [#permalink]

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01 Nov 2018, 00:12
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Difficulty:

55% (hard)

Question Stats:

66% (02:07) correct 34% (02:07) wrong based on 38 sessions

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Was the average (arithmetic mean) score that Steve got per subject greater than the average score that David got per subject?

(1) Twice the average score that Steve got per subject was greater than 5 less than twice the average score that David got per subject.

(2) Twice the average score that David got per subject was less than 5 more than twice the average score that Steve got per subject.

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Re: Was the average (arithmetic mean) score that Steve got per subject gre  [#permalink]

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01 Nov 2018, 13:13
Let S and D be the averages for Steve and David.

Stmt 1: 2S > 2D-5 ....... (eq 1)
Consider D as 10, then substituting in eq 1, we get, 2S > 15 or S>7.5
Hence, if S can be 8 which is less than 10 or 15 which is more than 10, hence we cannot determine if S>D or not. Hence, Insufficient. Eliminate A,D

Stmt 2: 2D < 2S + 5 ........ (eq 2)
eq 2 can be rearranged as 2S + 5 > 2D or 2S > 2D - 5 which is the same as eq 1, hence same analysis. Insufficient. ELiminate B.

Combined: Both statements give the same equation, no new information. Hence insufficient. Eliminate C

Hence Option E
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Re: Was the average (arithmetic mean) score that Steve got per subject gre   [#permalink] 01 Nov 2018, 13:13
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