BTGmoderatorDC wrote:
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.
OA
D
Source: Official Guide
Since p, q, r, s, and t are five consecutive even integers in increasing order, we can write them as q = p + 2; r = p + 4; s = p + 6; t = p + 8.
Average of p, q, r, s, and t = middle-most among them; since these integers are evenly spaced, median and mean would be the same.
Average of p, q, r, s, and t = r = p + 4
If we get the value of any integers, we get the answer.
Let's take each statement one by one.
(1) q + s = 24
(p + 2) + (p + 6) = 24 => p = 8. Sufficient.
(2) The average (arithmetic mean) of q and r is 11.
=> (q + r)/2 = 11
q + r = 22 => (p + 2) + (p + 4) = 22 => p = 8. Sufficient.
The correct answer:
D
Hope this helps!
-Jay
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