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, the average (arithmetic mean) of these five integers would be r.
we have
q = p + 2;
r = p + 4;
s = p + 6;
t = p + 8
So, we have to get the value of p +4.
Let's take each statement one by one.
(1) q + s =24
p + 2 + p + 6 = 24 => 2p + 8 = 24 => p = 8 => r = p + 4 = 8 + 4 = 12. Sufficient.
(2) The average (arithmetic mean) of q and r is 11.
=> [(p + 2) + (p + 4)]/2 = 11 => 2p + 6 = 22 => p = 8 => r = p + 4 = 8 + 4 = 12. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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