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On the number line above, p, q, r, s, and t are five consec

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On the number line above, p, q, r, s, and t are five consec [#permalink] New post 07 Dec 2012, 08:30
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On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

(1) q + s =24
(2) The average (arithmetic mean) of q and r is 11.
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Re: On the number line above, p, q, r, s, and t are five consec [#permalink] New post 07 Dec 2012, 08:37
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On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

{p, q, r, s, t} is an evenly spaced set thus its mean = median = middle term = r.

(1) q + s =24. Since q, r and s are consecutive even integers, then q=r-2 and s=r+2 --> (r-2)+(r+2)=24 --> r=12. Sufficient.

(2) The average (arithmetic mean) of q and r is 11. (r-2)+r=2*11 --> r=12. Sufficient.

Answer: D.
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Re: On the number line above, p, q, r, s, and t are five consec [#permalink] New post 10 Dec 2012, 08:26
which is the level of the question? 500? tks a lot :)
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Re: On the number line above, p, q, r, s, and t are five consec [#permalink] New post 10 Dec 2012, 08:42
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Re: On the number line above, p, q, r, s, and t are five consec [#permalink] New post 11 Dec 2012, 04:54
Walkabout wrote:
Attachment:
Number line.png
On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?

(1) q + s =24
(2) The average (arithmetic mean) of q and r is 11.


Ans. : Let p=x, q=x+2, r=x+4 , s=x+6, t=x+8 to find the mean we need to find x.
From statement 1 , we get 2x+8=24
From statement 2 we get x+3=11
Therefore the answer is (D).
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Re: On the number line above, p, q, r, s, and t are five consec [#permalink] New post 16 Dec 2012, 13:38
My understanding of consecutive integers, is that they are separated by only 1, i.e. 3, 4, 5, 6, 7, 8

I was able to find the first statement sufficient, but not the second, mainly because the answer uses the formula p + (p+2) +....

Why is 2 being added to P?
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Re: On the number line above, p, q, r, s, and t are five consec [#permalink] New post 16 Dec 2012, 23:41
kelleygrad05 wrote:
My understanding of consecutive integers, is that they are separated by only 1, i.e. 3, 4, 5, 6, 7, 8

I was able to find the first statement sufficient, but not the second, mainly because the answer uses the formula p + (p+2) +....

Why is 2 being added to P?


We are not told that p, q, r, s, and t are consecutive integers. We are given that p, q, r, s, and t are five consecutive EVEN integers. Fir example 2, 4, 6, 8, 10.
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Re: On the number line above, p, q, r, s, and t are five consec   [#permalink] 16 Dec 2012, 23:41
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