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# The average of Amit's five quiz scores is 88. What score does Amit nee

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The average of Amit's five quiz scores is 88. What score does Amit nee  [#permalink]

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11 Apr 2019, 06:39
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:50) correct 9% (00:58) wrong based on 35 sessions

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The average of Amit's five quiz scores is 88. What score does Amit need to get on a sixth quiz to raise his average for all six quizzes to 90?
(A) 88
(B) 94
(C) 98
(D) 100
(E) 102

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Re: The average of Amit's five quiz scores is 88. What score does Amit nee  [#permalink]

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11 Apr 2019, 06:56
$$\frac{n_1 + n_2 + n_3 + n_4 + n_5}{{5}} = 88$$

$$n_1 + n_2 + n_3 + n_4 + n_5 = 440$$

$$\frac{n_1 + n_2 + n_3 + n_4 + n_5 + n_6}{{6}} = 90$$

$$\frac{440 + n_6}{{6}} = 90$$

$$440 + n_6 = 540$$

$$n_6 = 100$$

Pick D.
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Re: The average of Amit's five quiz scores is 88. What score does Amit nee  [#permalink]

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11 Apr 2019, 09:02
GMATinsight wrote:
The average of Amit's five quiz scores is 88. What score does Amit need to get on a sixth quiz to raise his average for all six quizzes to 90?
(A) 88
(B) 94
(C) 98
(D) 100
(E) 102

sum of 5 scores= 88*5 ; 440
sum of 5 scores + 6th score = 540-440 ; 100
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Re: The average of Amit's five quiz scores is 88. What score does Amit nee  [#permalink]

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12 Apr 2019, 05:29
2
1
GMATinsight wrote:
The average of Amit's five quiz scores is 88. What score does Amit need to get on a sixth quiz to raise his average for all six quizzes to 90?
(A) 88
(B) 94
(C) 98
(D) 100
(E) 102

An innovative way to answer such questions

The average scores of 5 quizzes 88 is short of 2 points from desired average score

i.e. Total shortfall of 5 quizzes = 2*5 = 10 points

i.e. the next quiz must compensate the shortfall over it's average maintaining score 90

i.e. score in next quiz required = 90+10 = 100

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Re: The average of Amit's five quiz scores is 88. What score does Amit nee   [#permalink] 12 Apr 2019, 05:29
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