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

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

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New post 17 Oct 2018, 00:22
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A
B
C
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E

Difficulty:

  15% (low)

Question Stats:

88% (01:08) correct 12% (00:46) wrong based on 38 sessions

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

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New post 19 Oct 2018, 06:26
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

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

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New post 19 Oct 2018, 06:40
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

Answer choice B

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Re: If Dave’s average (arithmetic mean) score on three tests was 74, what   [#permalink] 19 Oct 2018, 06:40
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