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# If Dave’s average (arithmetic mean) score on three tests was 74, what

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Math Expert
Joined: 02 Sep 2009
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If Dave’s average (arithmetic mean) score on three tests was 74, what  [#permalink]

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16 Oct 2018, 23:22
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:11) correct 7% (00:13) wrong based on 32 sessions

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If Dave’s average (arithmetic mean) score on three tests was 74, what was his lowest score?

(1) Dave’s highest score was 82.
(2) The sum of Dave’s two highest scores was 162.

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Re: If Dave’s average (arithmetic mean) score on three tests was 74, what  [#permalink]

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19 Oct 2018, 05:26
Bunuel wrote:
If Dave’s average (arithmetic mean) score on three tests was 74, what was his lowest score?

(1) Dave’s highest score was 82.
(2) The sum of Dave’s two highest scores was 162.

Given: Average of three tests = 74
i.e. a+b+c = 74*3 = 222
if a <b<c where a, b and c are test scores

Question: a = ?

Statement 1: c = 82
a can't be determined as we have only a+b = 140
NOT SUFFICIENT

Statement 2: b+c = 162
i.e. a = 222-162 = 60
SUFFICIENT

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Re: If Dave’s average (arithmetic mean) score on three tests was 74, what  [#permalink]

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19 Oct 2018, 05:40
Bunuel wrote:
If Dave’s average (arithmetic mean) score on three tests was 74, what was his lowest score?

(1) Dave’s highest score was 82.
(2) The sum of Dave’s two highest scores was 162.

The sum of his test scores = 74 * 3 = 222

Statement 1) if we know the highest we still don’t know the middle or lowest value so insufficient.

Statement 2) we know the highest and middle value so we can figure out the lowest.

222 - 162 = 60

Sufficient

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Re: If Dave’s average (arithmetic mean) score on three tests was 74, what   [#permalink] 19 Oct 2018, 05:40
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