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Math Expert V
Joined: 02 Sep 2009
Posts: 58402
Aaron’s first three quiz scores were 75, 84, and 82. If his score on  [#permalink]

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Difficulty:   15% (low)

Question Stats: 92% (01:24) correct 8% (01:32) wrong based on 31 sessions

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Aaron’s first three quiz scores were 75, 84, and 82. If his score on the fourth quiz reduced his average (arithmetic mean) quiz score to 74, what was his score on the fourth quiz?

A. 35
B. 40
C. 45
D. 50
E. 55

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Intern  B
Joined: 04 Jun 2014
Posts: 14
Location: United States
GPA: 3.31
WE: Other (Military & Defense)
Re: Aaron’s first three quiz scores were 75, 84, and 82. If his score on  [#permalink]

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(75+84+82+x)/4=74

74x4=296

296=75+84+82+x
X+241=296
X=55

Average = (sum of individual scores/ # of scores)

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VP  D
Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Aaron’s first three quiz scores were 75, 84, and 82. If his score on  [#permalink]

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Bunuel wrote:
Aaron’s first three quiz scores were 75, 84, and 82. If his score on the fourth quiz reduced his average (arithmetic mean) quiz score to 74, what was his score on the fourth quiz?

A. 35
B. 40
C. 45
D. 50
E. 55

Sum of the scores in 4 tests = 74*4 = 296

Sum of the scores of 3 tests = 75 + 84 +82 = 241.

Scores in 4th test = 396 - 241 = 55.

E is the best answer.
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Status: QA & VA Forum Moderator
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Posts: 4776
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
Re: Aaron’s first three quiz scores were 75, 84, and 82. If his score on  [#permalink]

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Bunuel wrote:
Aaron’s first three quiz scores were 75, 84, and 82. If his score on the fourth quiz reduced his average (arithmetic mean) quiz score to 74, what was his score on the fourth quiz?

A. 35
B. 40
C. 45
D. 50
E. 55

$$75 + 84 +82 + s = 74*4$$

Or, $$s + 241 = 296$$

Thus, $$s = 55$$, Answer must be (E)
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Abhishek....

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How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Re: Aaron’s first three quiz scores were 75, 84, and 82. If his score on   [#permalink] 18 Dec 2018, 08:27
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