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If p + q = r, what is the average of p, q, and r ?

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Bunuel
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If p + q = r, what is the average of p, q, and r ? [#permalink] New post   Updated on: 07 Jul 2019, 01:31
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A
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C
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93% (00:30) correct 7% (02:17) wrong based on 45 sessions
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If p + q = r, what is the average of p, q, and r ?

(A) r/3
(B) (p + q)/3
(C) 2r/3
(D) r/2
(E) (p + q)/2

Source: Nova GMAT
Difficulty Level: 500
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C

Originally posted by Bunuel on 20 May 2017, 06:02.
Last edited by Sajjad1994 on 07 Jul 2019, 01:31, edited 1 time in total.
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Re: If p + q = r, what is the average of p, q, and r ? [#permalink] New post   20 May 2017, 06:08
Bunuel wrote:
If p + q = r, what is the average of p, q, and r ?

(A) r/3
(B) (p + q)/3
(C) 2r/3
(D) r/2
(E) (p + q)/2


Average = (p+q+r)/3 =(r+r)/3
=2r/3

Answer C
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Re: If p + q = r, what is the average of p, q, and r ? [#permalink] New post   20 May 2017, 06:08
Bunuel wrote:
If p + q = r, what is the average of p, q, and r ?

(A) r/3
(B) (p + q)/3
(C) 2r/3
(D) r/2
(E) (p + q)/2


\(p+q=r\), \(p=r-q\)

\(Average = \frac{p+q+r}{3} = \frac{r-q+q+r}{3}=\frac{2r}{3}\)

Answer : C
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Re: If p + q = r, what is the average of p, q, and r ? [#permalink] New post   21 May 2017, 01:48
Average = Sum of terms divided by number of terms.

Average of p, q, r is
(p+q+r)/3

But, given, p+q=r

Therefore average of p, q, r is
(r+r)/3 = 2r/3

C.

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Re: If p + q = r, what is the average of p, q, and r ? [#permalink] New post   21 May 2017, 05:21
If p + q = r, what is the average of p, q, and r ?

Average = Sum / Number of units
Average = \(\frac{p + q + r}{3}\)
Given; p + q = r
Therefore;
Average = \(\frac{r + r}{3}\) = \(\frac{2r}{3}\)
Answer C...

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Re: If p + q = r, what is the average of p, q, and r ? [#permalink]
21 May 2017, 05:21
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