The average of several test scores is 80. After that average was calcu

Question

The average of several test scores is 80. After that average was calculated, one make-up exam was given. After the make-up exam was included with the other scores, the new average was 83. Were more than 4 tests given total?

(1) The score on the make-up exam was 98.
(2) Two students scored an 82.

Kudos for a correct solution.

(1) The score on the make-up exam was 98.
(2) Two students scored an 82.

shelrod007 · Answer

We need to find the number of exams ....

Statement 1 :
Sufficient ... Total number of exams greater the 4

Refer attachment figure .... 6 exams are there in total

Attachment:

Score.PNG [ 7.23 KiB | Viewed 12802 times ]

Statement 2 :

Knowing the number of students will not help us knowing the number of exams .

Hence the answer is A

EMPOWERgmatRichC · Answer

Hi All,

There's a big "issue" with this question - it's not clear what the "make up" exam actually constitutes. Is the make-up exam a replacement (meaning someone took the Test once, then took it again)? If it is a replacement, are both scores (the original and the make-up) included in the average or just the make-up score? If it's not a replacement, then is the make-up exam an entirely new Test that has no impact on the prior set of scores (other than raising the average score)?

These issues impact what the correct answer will be. The Official GMAT would not leave you wondering about these types of details.

GMAT assassins aren't born, they're made,
Rich

Bunuel · Answer

VERITAS PREP OFFICIAL SOLUTION

The correct answer is (A).

It helps to know that the Average = Sum / # of Terms. Plugging in what we’re given:

80 = Sum / x

80x = Sum

83 = Sum + Make-up Score / x + 1

83x + 83 = Sum + Make-up Score

Let’s substitute “80x” for the “Sum”:

83x + 83 = 80x + Make-up Score

3x + 83 = Make-up Score

To know information about the number of tests given, we need to know more about the Make-up Score. Statement (1) tells us it was 98:
3x + 83 = 98
3x = 15
x = 5. Sufficient. The answer is Yes.

If you chose (B), Statement (2) tells us the scores of two students, but it’s possible to get both a yes and a no with these numbers. We also need to know the make-up students’ score to find the total number of given tests.

If you chose (C), Statement (1) alone is sufficient. We can solve by setting up two equations with the same two variables and substituting.

If you chose (E), Statement (1) is sufficient. You may want to review the formula for mathematical mean, as well as the “n equations with n variables” concept.

kitipriyanka · Answer

Given: Say total test=x
Avg of x test scores=80
So, Sum of x test scores=80x

1 make-up test is given and avg becomes 83
New sum of test scores=83(x+1)

a. make-up test score=98
So, 8ox+98=83(x+1)

we can solve & get value of x
Sufficient

b. 2 students scored 82 would not help to get an info from avg.
Insufficient

Hence A

bumpbot · Answer

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The average of several test scores is 80. After that average was calcu

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