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Nicky took three exams and averaged 88. What was the range

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Nicky took three exams and averaged 88. What was the range  [#permalink]

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New post 14 Jul 2017, 08:56
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Question Stats:

90% (00:56) correct 10% (01:34) wrong based on 21 sessions

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Nicky took three exams and averaged 88. What was the range of her 3 exams?

(1) The average of her last two exams was 85.
(2) The average of her first two exams was 84.

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Nicky took three exams and averaged 88. What was the range  [#permalink]

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New post Updated on: 15 Jul 2017, 21:52
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Total score = 88*3 = 264.

Range = Maximum score - Minimum score.

(1) Sum of the last 2 exams = 85*2 = 170. So, the score in her first exam = 264-170 = 94. We may assume that this is the maximum score but we still don't know the minimum score.

(2) Sum of the first 2 exams = 84*2 = 168. Again, this doesn't tell us the whole story.

(1) + (2): Score in the first exam = 94, score in the last exam = 264-168 = 96, score in the second exam = 264-(94+96) = 74. So, the range = 96-74. So, both statements together are necessary to answer the question.
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Originally posted by TimeTraveller on 14 Jul 2017, 10:04.
Last edited by TimeTraveller on 15 Jul 2017, 21:52, edited 1 time in total.
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Nicky took three exams and averaged 88. What was the range  [#permalink]

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New post 14 Jul 2017, 19:50
papagorgio wrote:
Nicky took three exams and averaged 88. What was the range of her 3 exams?

(1) The average of her last two exams was 85.
(2) The average of her first two exams was 84.


a + b + c = 88 * 3 = 264

(1) + (2):

b + c = 85 * 2 = 170 => a = (a+b+c) - (b+c) = 264 - 170 = 94
a + b = 84 * 2 = 168 => c = (a+b+c) - (a+b) = 264 - 168 = 96

b = (a+b) - a = 168 - 94 = 74

Range of set is 96 - 74 = 22. Answer C

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Nicky took three exams and averaged 88. What was the range   [#permalink] 14 Jul 2017, 19:50
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Nicky took three exams and averaged 88. What was the range

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