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If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall

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If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall

by BTGmoderatorDC » Mon Mar 16, 2020 5:28 pm

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If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9



OA B

Source: e-GMAT
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Re: If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall

by Jay@ManhattanReview » Mon Mar 16, 2020 10:09 pm
BTGmoderatorDC wrote: ↑
Mon Mar 16, 2020 5:28 pm
 If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9

OA B

Source: e-GMAT
Runs scored in n matches = 65n;
Runs scored in (n + 1) matches = 65n + 100;
Again, Runs scored in (n + 1) matches = 70(n + 1);

Thus, 65n + 100 = 70(n + 1)

n = 6

The correct answer: B

Hope this helps!

-Jay
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Re: If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall

by swerve » Tue Mar 17, 2020 7:37 am
BTGmoderatorDC wrote: ↑
Mon Mar 16, 2020 5:28 pm
 If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9



OA B

Source: e-GMAT
Here we have

Total Increase in score of \(n\) matches is \(5n\)
Total increase \(+\) new average \(=\) New score

\(5n + 70 = 100 \Longrightarrow n=6\)

So, B
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Re: If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall

by Scott@TargetTestPrep » Wed Mar 18, 2020 3:49 pm
BTGmoderatorDC wrote: ↑
Mon Mar 16, 2020 5:28 pm
 If for the past ‘n’ matches, the average runs scored by Steve is 65 runs. If today’s century increased his overall average to 70 runs. What is the value of n?

Options

a) 5
b) 6
c) 7
d) 8
e) 9



OA B

Source: e-GMAT
We can create the equation:

(65n + 100) / (n + 1) = 70

65n + 100 = 70n + 70

30 = 5n

6 = n

Answer: B

Scott Woodbury-Stewart
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