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Which of the following is the sum of integers whose product is -24?

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Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 11 May 2018, 00:30
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A
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C
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 11 May 2018, 00:48
Product of -24 & 1 is -24.

Sum of -24 & 1 is -23.

Ans A.
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 11 May 2018, 02:49
1
For product of -24, the possible integers are:

  • -24 and 1 or 24 and -1;
  • -12 and 2 or 12 and -2;
  • -6 and 4 or 6 and -4;
  • -8 and 3 or 8 and -3

Checking these against the options given, only -23 fits with integers as -24 and 1.

Correct ans: A
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 14 May 2018, 16:46
Bunuel wrote:
Which of the following is the sum of integers whose product is -24?

A. -23
B. -11
C. 0
D. 4
E. 12



Since -24 x 1 = -24, we have -24 + 1 = -23.

Answer: A
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 15 May 2018, 06:25
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Shouldn't it be mentioned in the question that factor 1 only can be used once?

Because else we can generate every sum we want: For example -24 = (-24)* 1 * 1 * 1 * 1 . If we add the factors we get a sum of -19. So if we use enough factors of 1 we can build every number mentioned in the solutions. For example -24 and 13 times 1 add to a sum of -11.

Please help me with this issue.
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 15 May 2018, 09:18
Masterscorp wrote:
Shouldn't it be mentioned in the question that factor 1 only can be used once?

Because else we can generate every sum we want: For example -24 = (-24)* 1 * 1 * 1 * 1 . If we add the factors we get a sum of -19. So if we use enough factors of 1 we can build every number mentioned in the solutions. For example -24 and 13 times 1 add to a sum of -11.

Please help me with this issue.

Draw a table
Attachment:
Capture.PNG
Capture.PNG [ 3.1 KiB | Viewed 685 times ]
Consider both +ve and -ve vaalues and calculate sum of the factors...

Keep things simple , GMAT seldom delves into such complexities...
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 11 Jul 2018, 21:56
RB15 wrote:
For product of -24, the possible integers are:

  • -24 and 1 or 24 and -1;
  • -12 and 2 or 12 and -2;
  • -6 and 4 or 6 and -4;
  • -8 and 3 or 8 and -3

Checking these against the options given, only -23 fits with integers as -24 and 1.

Correct ans: A


hi, why cant it be option B i.e. -11 as the product of -8*3 or 8*-3 is -24 and sum in any case will be -11?
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 11 Jul 2018, 21:58
Shwetastar2003 wrote:
RB15 wrote:
For product of -24, the possible integers are:

  • -24 and 1 or 24 and -1;
  • -12 and 2 or 12 and -2;
  • -6 and 4 or 6 and -4;
  • -8 and 3 or 8 and -3

Checking these against the options given, only -23 fits with integers as -24 and 1.

Correct ans: A


hi, why cant it be option B i.e. -11 as the product of -8*3 or 8*-3 is -24 and sum in any case will be -11?


The sum of -8 and 3 is -5, not -11.
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Re: Which of the following is the sum of integers whose product is -24?  [#permalink]

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New post 11 Jul 2018, 22:04
Bunuel wrote:
Shwetastar2003 wrote:
RB15 wrote:
For product of -24, the possible integers are:

  • -24 and 1 or 24 and -1;
  • -12 and 2 or 12 and -2;
  • -6 and 4 or 6 and -4;
  • -8 and 3 or 8 and -3

Checking these against the options given, only -23 fits with integers as -24 and 1.

Correct ans: A


hi, why cant it be option B i.e. -11 as the product of -8*3 or 8*-3 is -24 and sum in any case will be -11?


The sum of -8 and 3 is -5, not -11.


OOh, that tricked me. Got it! thanks for the revert :)
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Re: Which of the following is the sum of integers whose product is -24?   [#permalink] 11 Jul 2018, 22:04
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