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The product of the integers

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Carcass
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The product of the integers [#permalink] New post   16 Nov 2022, 05:00
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61% (00:47) correct 38% (01:18) wrong based on 13 sessions

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Quantity A
Quantity B
The product of the integers from -87 to -36 inclusive
The product of the integers from -58 to -34 inclusive




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


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Re: The product of the integers [#permalink] New post   17 Nov 2022, 15:04
I am skeptical about the answer.
I first eliminated the common terms in each Quantity which were ( -58 to -36). Therefore,

For Quantity A :
we will have terms from ( -87 to -59), we need to know is it + or negative.
87-59+1= 29 terms. So, the answer will be -ve.

For Quantity B:

We will be left with -34 x -35. The answer is +ve.

So, quantity B is greater.

may someone elaborate ?
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Re: The product of the integers [#permalink] New post   17 Nov 2022, 15:13
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Number of integers from m to n inclusive is

\(n-m+1\)

\(-36-(-87)+1=52 \) even numbers so positive the multiplication regardless the number is

\(-34-(-58)+1=25\) odd numbers so we will have a negative number regardless the value of the multiplication of the numbers themselves

A > B

hope this helps
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Re: The product of the integers [#permalink] New post   14 Apr 2024, 10:25
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The product of the integers [#permalink]
14 Apr 2024, 10:25
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