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List G consists of 15 consecutive integers. If the greatest integer in

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Bunuel
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List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  17 Feb 2017, 01:54
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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
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Re: List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  17 Feb 2017, 01:59
Bunuel wrote:
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


List G = {7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6,-7}
sum of all negative integers in List G = -(1+2+3+4+5+6+7) =-28

Hence Option C is correct.
Hit Kudos if you liked it 8-)
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marcuccio
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List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  21 Feb 2017, 11:03
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Bunuel wrote:
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


Since the sum of n consecutive integers equals the mean multiplied by the number of terms n; and since the mean of any evenly spaced set (like these) equals the median which is obviusly equal to 0,even the sum of the list G will be 0

Now we have to subtract the sum of the positive integers which is : mean*7, (1+7)/2 *7= 28
sure 0-28=-28

Correct answer is C.
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Re: List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  21 Feb 2017, 22:57
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Bunuel wrote:
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


Total Numbers in list = 15

Greatest = 7
i.e. 7 Positive Integers
One must be Zero (a critical step which if not considered might lead to inaccuracies)
so other 7 must be Negative ranging from -1 to -7

Sum of Negative Numbers from -1 to -7 = -28

Answer: Option C
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Re: List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  19 Jun 2017, 09:05
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Bunuel wrote:
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


Just have to remember to be careful - in this series 0 counts as an integer so actually

7/2 ( -8 + -1)
7/2(9)
56/2 =
28

Thus
"C"
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MathRevolution
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Re: List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  23 Aug 2020, 00:17
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G has 15 consecutive integers.

The greatest integer is 7.

=> 0 to 7 = (Total 8 integers).

=> -7 to -1 = -( 7+6+5+4+3+2+1).

=> Sum of 'n' natural numbers: \(\frac{n(n+1) }{ 2}\)

=> \(\frac{7 * 8 }{ 2}\)

=> 28.

Sum of all negative integers in List G = -28

Answer C
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Re: List G consists of 15 consecutive integers. If the greatest integer in [#permalink] New post  29 Dec 2022, 09:18
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Re: List G consists of 15 consecutive integers. If the greatest integer in [#permalink]
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