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Product of Quantities

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Product of Quantities [#permalink] New post 08 May 2017, 02:43
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Question Stats:

69% (00:54) correct 30% (00:25) wrong based on 39 sessions
Quantity A
Quantity B
Product of odd integers from -5 to 13 inclusive.
Product of even integers from -12 to 6 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.
[Reveal] Spoiler: OA

Last edited by GreenlightTestPrep on 10 May 2017, 06:25, edited 2 times in total.
Edited by Carcass
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Re: Product of Quantities [#permalink] New post 08 May 2017, 13:20
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A smart approach is advisable here. The question is specifically made time-consuming.

A) -5 -3 -1 1 3 5 7 9 11 13

B) -12 -10 -8 -6 -4 -2 2 4 6

-----------------------------------------------

Cancel out the opposite

A) 7 9 11 13

B) -12 -10 -8

A is the must answer. Without any calculation.
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Re: Product of Quantities [#permalink] New post 10 May 2017, 06:25
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HarveyKlaus wrote:
Quantity A
Quantity B
Product of odd integers from -5 to 13 inclusive.
Product of even integers from -12 to 6 inclusive.




Quantity A: (-5)(-3)(-1)(1)(3)(5)(7)(9)(11)(13)
Quantity B: (-12)(-10)(-8)(-6)(-4)(-2)(0)(2)(4)(6)

In Quantity A, we have 3 negative integers. So, the product of these values will be NEGATIVE
Conversely, in Quantity A, the positive integers will have a product that is POSITIVE

In Quantity B, one of the values is ZERO, which means the product = 0

We now have:
Quantity A: (some negative number)(some positive number)
Quantity B: 0

So, we get:
Quantity A: some negative number
Quantity B: 0

Answer:
[Reveal] Spoiler:
B


Cheers,
Brent
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Re: Product of Quantities [#permalink] New post 05 Mar 2018, 02:08
To produce a particular radio model, it costs a manufacturer $30 per
radio, and it is assumed that if 500 radios are produced, all of them will be sold. What
must be the selling price per radio to ensure that the profit (revenue from the sales minus
the total production cost) on the 500 radios is greater than $8,200 ?
Intern
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Re: Product of Quantities [#permalink] New post 05 Mar 2018, 02:09
Emon wrote:
To produce a particular radio model, it costs a manufacturer $30 per
radio, and it is assumed that if 500 radios are produced, all of them will be sold. What
must be the selling price per radio to ensure that the profit (revenue from the sales minus
the total production cost) on the 500 radios is greater than $8,200 ?
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Re: Product of Quantities [#permalink] New post 15 Mar 2018, 16:18
correct: B
The product of odd integers from -5 to 13 inclusive: -5 * -3 * -1 * 1 * 3 * 5 * 7 * 9 * 11 * 13
The product of even integers from -12 to 6 inclusive: -12 * -10 * -8 * -6 * -4 * -2 * 0 * 2 * 4 * 6
The first thing to check is if any of the products are negative. Else in case of having same sign (both negative or both positive, we will compare their values.)
A consists of 3 negative numbers, as 3 is odd, the result is negative.
B consists of 6 negative numbers, as 6 is even, the result must be positive, but there is a 0 in the product elements, so B equals to 0.
as A is negative and B is 0, B is bigger than A.

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Re: Product of Quantities   [#permalink] 15 Mar 2018, 16:18
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