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k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
20 May 2018, 14:16

Expert's post

00:00

Question Stats:

33% (00:24) correct
66% (00:46) wrong based on 92 sessions

k = 2m = 4n and k, m, and n are nonnegative integers.

Quantity A

Quantity B

km

kn

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.

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
27 May 2018, 19:15

sandy wrote:

k = 2m = 4n and k, m, and n are nonnegative integers.

Quantity A

Quantity B

km

kn

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.

Please confirm how this is D. Since they both have the same numerator, shouldn't the Quantity with the largest denominator be the smallest?

Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink]
17 Jul 2018, 12:11

Expert's post

Explanation

If the variables are positive, Quantity A is greater. However, all three variables could equal zero, in which case the two quantities are equal. Watch out for the word “non-negative,” which means “positive or zero.”
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Sandy If you found this post useful, please let me know by pressing the Kudos Button

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
13 Jun 2019, 05:10

1

This post received KUDOS

Expert's post

sandy wrote:

k = 2m = 4n and k, m, and n are nonnegative integers.

Quantity A

Quantity B

km

kn

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.

Let's test some possible values

case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 We get: Quantity A: km = (0)(0) = 0 Quantity B: kn = (0)(0) = 0 In this case, the two quantities are equal

case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 We get: Quantity A: km = (4)(2) = 8 Quantity B: kn = (4)(1) = 4 In this case, Quantity A is greater

Answer: D

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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
16 Sep 2019, 09:00

GreenlightTestPrep wrote:

sandy wrote:

k = 2m = 4n and k, m, and n are nonnegative integers.

Quantity A

Quantity B

km

kn

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.

Let's test some possible values

case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 We get: Quantity A: km = (0)(0) = 0 Quantity B: kn = (0)(0) = 0 In this case, the two quantities are equal

case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 We get: Quantity A: km = (4)(2) = 8 Quantity B: kn = (4)(1) = 4 In this case, Quantity A is greater

Answer: D

case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 ------How "0"? _________________

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
16 Sep 2019, 09:10

GreenlightTestPrep wrote:

huda wrote:

case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 ------How "0"?

I'm not sure what you're asking. Can you elaborate?

sorry, my mistake. it will be case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 ------How "0", means how they could be '0' Where as it is said that k = 2m = 4n? _________________

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
16 Sep 2019, 15:55

1

This post received KUDOS

Expert's post

huda wrote:

GreenlightTestPrep wrote:

huda wrote:

case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 ------How "0"?

I'm not sure what you're asking. Can you elaborate?

sorry, my mistake. it will be case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 ------How "0", means how they could be '0' Where as it is said that k = 2m = 4n?

If k = 0, m = 0, and n = 0, then we get: 0 = 2(0) = 4(0), which is true. In other words, k = 0, m = 0, and n = 0 is a solution to the equation k = 2m = 4n

Does that help?
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for GRE Question of the Dayemails

Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink]
03 Mar 2020, 03:32

sandy wrote:

Explanation

If the variables are positive, Quantity A is greater. However, all three variables could equal zero, in which case the two quantities are equal. Watch out for the word “non-negative,” which means “positive or zero.”

They got me with this one. Just like with 2 being the smallest prime. Ugh.

greprepclubot

Re: k = 2m = 4n and k, m, and n are non-negative integers.
[#permalink]
03 Mar 2020, 03:32