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Five consecutive even integers have a sum

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Intern
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Five consecutive even integers have a sum [#permalink] New post 05 Sep 2018, 14:57
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Question Stats:

50% (00:53) correct 50% (00:55) wrong based on 22 sessions
Five consecutive even integers have a sum of −20.

Quantity A
Quantity B
The greatest of the five even
integers
0



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
[Reveal] Spoiler: OA

Last edited by Carcass on 05 Sep 2018, 23:54, edited 1 time in total.
Edited by Carcass
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Re: Five consecutive even integers have a sum [#permalink] New post 05 Sep 2018, 23:55
Expert's post
Hi rajal,

please format the question as you can see. Doing so is easy . Here is explained how to do https://greprepclub.com/forum/qq-how-to ... -2357.html

Also, the title of the topic should be the first sentence of the question itself.

Thank you for your cooperation.

Regards
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Re: Five consecutive even integers have a sum [#permalink] New post 06 Sep 2018, 01:46
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5 consecutive even integers: 2n+(2n+2)+(2n+4)+(2n+6)+(2n+8)=-20 => 10n+20=-20 => n=-4 plug into the greatest of the 5, i.e. 2(-4)+8=0
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Re: Five consecutive even integers have a sum [#permalink] New post 06 Sep 2018, 12:29
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Expert's post
rajlal wrote:
Five consecutive even integers have a sum of −20.

Quantity A
Quantity B
The greatest of the five even
integers
0



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


Even integers (...-4, -2, 0, 2, 4, 6, ...) increase by 2

Let x = the smallest even integer
So, x + 2 = the next integer
and x + 4 = the next integer
and x + 6 = the next integer
and x + 8 = the last (GREATEST) integer

We're told that the 5 integers add to -20
So, we can write: x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = -20
Simplify: 5x + 20 = -20
Subtract 20 from both sides to get: 5x = -40
Solve: x = -8

So, the 5 numbers are -8, -6, -4, -2, 0

The greatest is 0.
So, the quantities are EQUAL

Answer: C

Cheers,
Brent
Re: Five consecutive even integers have a sum   [#permalink] 06 Sep 2018, 12:29
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