The sum of five consecutive even integers is 20. What is the product of the median of the sequence and the smallest integer in the sequence ?
(A) 12
(B) 10
(C) 6
(D) 4
(E) 0
OA E
Source: Magoosh
The sum of five consecutive even integers is 20. What is the product of the median of the sequence and the smallest
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Say the five consecutive integers are x, (x +2), (x +4), (x +6), and (x +8).BTGmoderatorDC wrote: ↑Tue Aug 04, 2020 5:29 pmThe sum of five consecutive even integers is 20. What is the product of the median of the sequence and the smallest integer in the sequence?
(A) 12
(B) 10
(C) 6
(D) 4
(E) 0
OA E
Source: Magoosh
So, the sum of the five integers = x +(x +2) + (x +4) + (x +6) + (x +8) = 5x + 20
=> 5x + 20 = 20 => x = 0.
So, the five consecutive integers are 0, 2, 4, 6, and 8.
Median = 4 and smallest integer = 0; so their product = 0*4 = 0.
Correct answer: E
Hope this helps!
-Jay
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