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On his first 3 tests, Rajeev received an average score of N points. If

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Math Expert
Joined: 02 Sep 2009
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On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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24 Nov 2014, 07:36
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Tough and Tricky questions: Number Properties.

On his first 3 tests, Rajeev received an average score of N points. If on his fourth test, he exceeds his previous average score by 20 points, what is his average score for his first 4 tests?

A) N
B) N + 4
C) N + 5
D) N + 10
E) N + 20

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Source: Chili Hot GMAT

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Re: On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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24 Nov 2014, 07:52
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Total points from first three tests: 3N
Points on fourth test: N + 20

Total points on all four tests: 3N + (N + 20) = 4N + 20

Average score for first four tests: (4N + 20)/4 = N + 5

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Joined: 25 Jun 2014
Posts: 36
Re: On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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24 Nov 2014, 09:41
1
The answer is C ( n+5)
Sum of score of his first 3 tests: 3n
His 4th test score: n+ 20
Sum of his 4 tests: 4n+20
=> Average: 4n+20/4 = n+5
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Joined: 17 Mar 2014
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Re: On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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24 Nov 2014, 11:07
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$$Average =$$ $$\frac{(Sum of Items)}{(Number of Items)}$$

It is given that average of first three tests is N i.e. $$\frac{Sum of First Three Tests}{3}$$ $$=$$ $$N$$
So Sum of First Three Tests$$= 3N$$

As per question, on his fourth test, he exceeds his previous average score by 20 points
i.e. he has scored $$N+ 20$$ in fourth test .

So $$Average$$ of 4 tests =$$\frac{(3N+ N+20)}{4}$$ =$$N+5$$

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Re: On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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24 Nov 2014, 20:38
Answer = C) N + 5

Total of 1st 3 tests= 3N

4th test score = N + 20

Total of all 4 tests = 4N + 20

Average = N + 5
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Re: On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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29 Jan 2017, 20:12
Bunuel wrote:

Tough and Tricky questions: Number Properties.

On his first 3 tests, Rajeev received an average score of N points. If on his fourth test, he exceeds his previous average score by 20 points, what is his average score for his first 4 tests?

A) N
B) N + 4
C) N + 5
D) N + 10
E) N + 20

Kudos for a correct solution.

Source: Chili Hot GMAT

Use plugging in to answer this question. Say he got a 60 on all of his first 3 tests to give him an average score of 60 points, so N=60. On his fourth test he would have scored 80 points. Using simple math we get the average to be 260/4. Simple calculations prove this to be 65, which is N + 5.
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Re: On his first 3 tests, Rajeev received an average score of N points. If  [#permalink]

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12 Jan 2019, 22:20
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Re: On his first 3 tests, Rajeev received an average score of N points. If   [#permalink] 12 Jan 2019, 22:20
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