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

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

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New post 01 Jul 2018, 20:56
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A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

43% (01:57) correct 57% (01:39) wrong based on 35 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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Re: There are twenty students in a class, all of whom scored between 0 and  [#permalink]

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New post 01 Jul 2018, 21:29
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

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Re: There are twenty students in a class, all of whom scored between 0 and  [#permalink]

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New post 02 Jul 2018, 17:34
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.
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Re: There are twenty students in a class, all of whom scored between 0 and &nbs [#permalink] 02 Jul 2018, 17:34
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