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# There are twenty students in a class, all of whom scored between 0 and

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Math Expert
Joined: 02 Sep 2009
Posts: 51263
There are twenty students in a class, all of whom scored between 0 and  [#permalink]

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01 Jul 2018, 19:56
00:00

Difficulty:

65% (hard)

Question Stats:

45% (02:08) correct 55% (01:55) wrong based on 38 sessions

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There are twenty students in a class, all of whom scored between 0 and 100 on their final exams. If the class average was 85, how many people scored below the average score on the exam?

(1) Twelve people in the class scored higher than an 85.
(2) The lowest eight scores added up to 640.

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Manager
Joined: 09 Jun 2018
Posts: 185
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
Re: There are twenty students in a class, all of whom scored between 0 and  [#permalink]

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01 Jul 2018, 20:29
IMO Option A

Stmt 1 is sufficient as it is straightforward.
Stmt 2: If 640 is total for 8 students, then their average is 80. This can be achieved with many combinations: All 8 students get 80, OR 6 get 80 and the other two get 74 and 86 and so on. Thus number of students above/below 85 will vary. Hence insufficient.

Hence option A

Anything I'm missing here?
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Intern
Joined: 18 Jul 2017
Posts: 45
Re: There are twenty students in a class, all of whom scored between 0 and  [#permalink]

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02 Jul 2018, 16:34
There are twenty students in a class, all of whom scored between 0 and 100 on their final exams. If the class average was 85, how many people scored below the average score on the exam?

(1) Twelve people in the class scored higher than an 85.
(2) The lowest eight scores added up to 640.

1. 12 people have scored above average, but it doesn't tell the no of people who scored exactly 85. So A is insufficient.

2. 8 lowest scores added to 640, but there may be scores between 80 to 85 as well. So B is not sufficient.

Combining both 1 & 2 doesn't help. So C is insufficient.

So the option is E.
Re: There are twenty students in a class, all of whom scored between 0 and &nbs [#permalink] 02 Jul 2018, 16:34
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