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The median of three positive integers
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25 Sep 2021, 19:02
25 Sep 2021, 19:02
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75% (01:05) correct
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The median of three positive integers a, b and c is equal to the median of 4 positive integers w, x, y and z.
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
Quantity A |
Quantity B |
a+b+c |
x+y+z |
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 median of three positive integers
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26 Sep 2021, 07:30
26 Sep 2021, 07:30
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RA911 wrote:
The median of three positive integers a, b and c is equal to the median of 4 positive integers w, x, y and z.
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
Quantity A |
Quantity B |
a+b+c |
x+y+z |
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
Since it SEEMS like we don't have enough information to determine which quantity is greater, I'm going to test some values...
case i: {a,b,c} = {1,1,1} and {w,x,y,z} = {1,1,1,1} (notice that the medians of the two sets are equal). We get:
Quantity A: a+b+c = 1+1+1 = 3
Quantity B: x+y+z = 1+1+1 = 3
In this case, the two quantities are equal
case ii: {a,b,c} = {1,1,1} and {w,x,y,z} = {0,1,1,2} (notice that the medians of the two sets are equal). We get:
Quantity A: a+b+c = 1+1+1 = 3
Quantity B: x+y+z = 1+1+2 = 4
In this case, Quantity B is greater
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Re: The median of three positive integers
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15 Jan 2026, 07:53
15 Jan 2026, 07:53
Hello from the GRE Prep Club BumpBot!
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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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
