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The product of the odd integers between -8 to 8

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anuppatel012
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The product of the odd integers between -8 to 8 [#permalink] New post   21 Jul 2019, 05:43
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Quantity A
Quantity B
The product of the odd integers between -8 to 8
The product of the even integers between -9 to 9


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.
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GreenlightTestPrep
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Re: The product of the odd integers between -8 to 8 [#permalink] New post   25 Jul 2019, 10:08
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anuppatel012 wrote:
Quantity A
Quantity B
The product of the odd integers between -8 to 8
The product of the even integers between -9 to 9


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.


We have:
Quantity A: (-7)(-5)(-3)(-1)(1)(3)(5)(7)
Quantity B: (-8)(-6)(-4)(-2)(0)(2)(4)(6)(8)


First recognize that, because Quantity B has a ZERO in its product, it must be ZERO:
Quantity A: (-7)(-5)(-3)(-1)(1)(3)(5)(7)
Quantity B: 0

So, our only task now is to determine whether Quantity A is positive or negative.

(-7)(-5)(-3)(-1)(1)(3)(5)(7) = (35)(3)(1)(3)(5)(7)
= A bunch of POSITIVE number multiplied together
= some POSITIVE number

So, we now have:
Quantity A: some POSITIVE number
Quantity B: 0

Answer: A

Cheers,
Brent
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Re: The product of the odd integers between -8 to 8 [#permalink] New post   25 Jul 2019, 02:58
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In this question try to use logic and common sense rather than trying to multiply each side.
Remember the basic rule: -ve * -ve = +ve. In other words whenever even number of -ve's are multiplied always the product is a +ve number.
Also remember anything multiplied by 0 is always 0. This is the only logic the question is trying to test.

In qty A when you list the number to be multiplied you get an even numbers from -7 to 7 inclusive. i.e {-7,-5,-3,-1,1,3,5,7}.
In qty B when going from -ve to +ve there is 0 as well which will transform the whole product into 0
Hence it does not matter what is the value for qty A as long as we know that the value is +ve.

option A
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Re: The product of the odd integers between -8 to 8 [#permalink] New post   27 Aug 2019, 00:06
GreenlightTestPrep wrote:
anuppatel012 wrote:
Quantity A
Quantity B
The product of the odd integers between -8 to 8
The product of the even integers between -9 to 9


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.


We have:
Quantity A: (-7)(-5)(-3)(-1)(1)(3)(5)(7)
Quantity B: (-8)(-6)(-4)(-2)(0)(2)(4)(6)(8)


First recognize that, because Quantity B has a ZERO in its product, it must be ZERO:
Quantity A: (-7)(-5)(-3)(-1)(1)(3)(5)(7)
Quantity B: 0

So ZERO is an EVEN number?

So, our only task now is to determine whether Quantity A is positive of negative.

(-7)(-5)(-3)(-1)(1)(3)(5)(7) = (35)(3)(1)(3)(5)(7)
= A bunch of POSITIVE number multiplied together
= some POSITIVE number

So, we now have:
Quantity A: some POSITIVE number
Quantity B: 0

Answer: A

Cheers,
Brent
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pankajnpcil
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Re: The product of the odd integers between -8 to 8 [#permalink] New post   31 Aug 2019, 19:44
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Very Easy, only check for two things 1- product will be zero in case of even product. 2- Is product of no. is negative. In This case product of sequence is possitive, hence A is answer
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Re: The product of the odd integers between -8 to 8 [#permalink] New post   06 Sep 2019, 20:36
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Very Easy, only check for two things 1- product will be zero in case of even product. 2- Is product of no. is negative. In This case product of sequence is positive, hence A is answer
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Re: The product of the odd integers between -8 to 8 [#permalink] New post   14 Aug 2024, 20:31
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Re: The product of the odd integers between -8 to 8 [#permalink]
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