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k = 2m = 4n and k, m, and n are non-negative integers.

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sandy
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k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post   20 May 2018, 14:16
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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.
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D
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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post   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?
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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post   28 May 2018, 07:22
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Since they're non-negative, they can all be 0. In which case the answer is C...

But say k = 8. In this case m = 4 and n = 2. km = 32 and kn = 16, A > B.

So we can't tell for sure.
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Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post   17 Jul 2018, 12:11
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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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k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post   13 Jun 2019, 05:10
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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] New post   Updated on: 16 Sep 2019, 09:10
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"?

Originally posted by huda on 16 Sep 2019, 09:00.
Last edited by huda on 16 Sep 2019, 09:10, edited 1 time in total.
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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post   16 Sep 2019, 09:08
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?
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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post   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?
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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post   16 Sep 2019, 15:55
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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?
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Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post   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.
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k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post   16 Sep 2021, 06:39
What will be the answers if non negative integer is replaced by positive numbers in the questions..
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k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post   16 Sep 2021, 06:58
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COolguy101 wrote:
What will be the answers if non negative integer is replaced by positive numbers in the questions..


Let's find out.
Here is the NEW question:

k = 2m = 4n, and k, m, and n are POSITIVE integers.
Given:
QUANTITY A: km
QUANTITY B: kn

Since we know that k is positive, we can safely divide both sides by k to get:
QUANTITY A: m
QUANTITY B: n

Next, since we're told 2m = 4n, we can divide both sides of the equation by 2 to get: m = 2n
So, for Quantity A, we can replace m with 2n to get:
QUANTITY A: 2n
QUANTITY B: n

From here, we might already see that Quantity A is greater. However we can also confirm this by subtracting n from both quantities to get:
QUANTITY A: n
QUANTITY B: 0

Since n is now positive (for this particular question), we can see that Quantity A is greater.

Answer: A
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Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post   22 Apr 2024, 04:48
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