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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

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by BTGmoderatorDC » Tue Aug 04, 2020 5:29 pm

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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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Re: The sum of five consecutive even integers is 20. What is the product of the median of the sequence and the smallest

by Jay@ManhattanReview » Tue Aug 04, 2020 11:39 pm
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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