List $G$ consists of $15$ consecutive integers. If the greatest integer in List $G$ is $7,$ what is the sum of a

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Thu Oct 29, 2020 12:19 pm

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List $G$ consists of $15$ consecutive integers. If the greatest integer in List $G$ is $7,$ what is the sum of all negative integers in List $G?$

A. -36
B. -32
C. -28
D. -24
E. -20

Answer: C

Source: Veritas Prep

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Re: List $G$ consists of $15$ consecutive integers. If the greatest integer in List $G$ is $7,$ what is the sum

by Scott@TargetTestPrep » Thu Nov 05, 2020 3:45 pm

M7MBA wrote: ↑
Thu Oct 29, 2020 12:19 pm
List $G$ consists of $15$ consecutive integers. If the greatest integer in List $G$ is $7,$ what is the sum of all negative integers in List $G?$

A. -36
B. -32
C. -28
D. -24
E. -20

Answer: C

Solution:

If the largest integer in G is 7, the smallest integer is -7 (notice that 7 - (-7) + 1 = 15, the number of consecutive integers). Since the smallest integer in G is -7, the sum of all negative integers in G is:

(-7) + (-6) + (-5) + (-4) + (-3) + (-2) + (-1) = -28

Answer: C

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