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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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

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BTGmoderatorDC wrote:
Tue Aug 04, 2020 5:29 pm
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
Say the five consecutive integers are x, (x +2), (x +4), (x +6), and (x +8).

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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