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

[M7MBA]

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

[Scott@TargetTestPrep]

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