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Joe took 20 equally weighted quizzes for his biology class and receive 02 Dec 2019, 01:24
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61% (01:36) correct 39% (01:53) wrong based on 278 sessions

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Joe took 20 equally weighted quizzes for his biology class and received an average score of 96% on those quizzes. If he received a grade of 96% on exactly n of the quizzes, what is n?

(1) \(n>18\)

(2) \(n\leq20\)


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Joe took 20 equally weighted quizzes for his biology class and receive 02 Dec 2019, 02:05
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MM for each test = 10
so for 20 tests ; 200 and 96% . 192
#1 n>18
n has to be 20 ; sufficient
#2
n<=20
insufficient as no of test taken can be with full 10/10 scores as well and n can vary
IMO A
Bunuel
Joe took 20 equally weighted quizzes for his biology class and received an average score of 96% on those quizzes. If he received a grade of 96% on exactly n of the quizzes, what is n?

(1) \(n>18\)

(2) \(n\leq20\)


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Joe took 20 equally weighted quizzes for his biology class and receive 07 Apr 2026, 08:05
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HI, would you please elaborate your solution little bit? what is MM?
Archit3110
MM for each test = 10
so for 20 tests ; 200 and 96% . 192
#1 n>18
n has to be 20 ; sufficient
#2
n<=20
insufficient as no of test taken can be with full 10/10 scores as well and n can vary
IMO A

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Joe took 20 equally weighted quizzes for his biology class and receive 07 Apr 2026, 11:22
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shaliny
HI, would you please elaborate your solution little bit? what is MM?

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Hello Shaliny,

MM here is maximum marks.

So for 20 test Maximum one student can secure is 200

and 96 of that total (200) is 192

Statement 1 : n > 18

Ok if total number of test in which he scored 96 percent (n) is above 18 then it could be only one possible case in which this thing is possible, which is n = 20.

Statement 1 is sufficient

Statement 2 : n < = 20

There can be many possibilities i.e n = 20, 15....

So, as there is no definite answer, that's why statement 2 is not sufficient.

Answer - A
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Joe took 20 equally weighted quizzes for his biology class and receive 07 Apr 2026, 22:03
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Bunuel
Joe took 20 equally weighted quizzes for his biology class and received an average score of 96% on those quizzes. If he received a grade of 96% on exactly n of the quizzes, what is n?

(1) \(n>18\)

(2) \(n\leq20\)


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96% is the average of 20 scores. The actual scores could take infinite different values. It is possible that none of them is 96% and also that all of them are 96%. So n can be anything from 0 to 20.

(1) \(n>18\)

n can be 19 or 20. But note that if 19 values are 96%, the 20th value cannot be anything other than 96%. For the average to be 96%, if one value is less than 96% then at least one needs to be more than 96% to make up the deficit.
This means all 20 values are 96% and n = 20.
Sufficient alone.

(2) \(n\leq20\)

We already know that n is less than or equal to 20. Not sufficient alone.

Answer (A)

Here is another interesting question on mean, median and range: https://anaprep.com/sets-statistics-mea ... -question/
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