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tutonaranjo
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 Posted: Thu Aug 30, 2007 11:45 am Post subject: GMAT Prep - Number properties |
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Is x equal to the median of the three positive integers x, y, z?
1) x < y+z
2) y = z
The answer is B
Question: Is this because if y = z.. then with two values being the same there is no median n a set of three? |
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kajcha
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| Posted: Thu Aug 30, 2007 1:36 pm Post subject: Re: GMAT Prep - Number properties |
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| tutonaranjo wrote: | Is x equal to the median of the three positive integers x, y, z?
1) x < y+z
2) y = z
The answer is B
Question: Is this because if y = z.. then with two values being the same there is no median n a set of three? |
Stmt 1 x < y+z NOT SUFF for case x =2, y = 3, z = 4 x is not median
for case x = 3, y = 2, z = 4 x is median
Stmt 2 -> y=z will make the set look like x y y or y y x... in either case x is not the median... so SUUF
Ans B |
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TAYO
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| Posted: Thu Aug 30, 2007 7:12 pm Post subject: B is correct |
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y=z
hence
(x+y+z)/3 = x
y=z
x+2y = 3x
2y = 2x
x = y
sufficient, since x = y = z
(x+y+z)/3 = (x + x + x)/3 = x |
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gabriel
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| Posted: Fri Aug 31, 2007 1:34 am Post subject: Re: GMAT Prep - Number properties |
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| kajcha wrote: | | tutonaranjo wrote: | Is x equal to the median of the three positive integers x, y, z?
1) x < y+z
2) y = z
The answer is B
Question: Is this because if y = z.. then with two values being the same there is no median n a set of three? |
Stmt 1 x < y+z NOT SUFF for case x =2, y = 3, z = 4 x is not median
for case x = 3, y = 2, z = 4 x is median
Stmt 2 -> y=z will make the set look like x y y or y y x... in either case x is not the median... so SUUF
Ans B |
hmmm ... i am really not convinced with the answer ... as u point out in your post statement 1 is clearly not enuf ..
... but look at statement 2 .. again as u rightly pointed out there could be 2 cases x y y or y y x .. but couldn't there also be a 3rd case in which x=y=z and then the set would be x x x .. in which case "x" is the median of the set of 3 integers ...bcoz u see there is nothing in the question stem or in the statement that says x is not equal to the other 2 numbers(y and z) ..
... what does everyone else think ... |
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agps
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| Posted: Fri Aug 31, 2007 1:51 am Post subject: |
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Edit: gabriel already pointed out what I said, but i didn't see it until i posted.
I think E is the answer, unless a set of 3 equal numbers has no median, in that case, B should be the answer I'll review if there is anything that says that. |
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kajcha
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| Posted: Fri Aug 31, 2007 5:44 am Post subject: Re: GMAT Prep - Number properties |
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[quote="gabriel
hmmm ... i am really not convinced with the answer ... as u point out in your post statement 1 is clearly not enuf ..
... but look at statement 2 .. again as u rightly pointed out there could be 2 cases x y y or y y x .. but couldn't there also be a 3rd case in which x=y=z and then the set would be x x x .. in which case "x" is the median of the set of 3 integers ...bcoz u see there is nothing in the question stem or in the statement that says x is not equal to the other 2 numbers(y and z) ..
... what does everyone else think ...[/quote]
Good point gabriel.. I missed that.. In that case it should be E |
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