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# m20 q 14 (spoiler alert)

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Intern
Joined: 12 Aug 2009
Posts: 8

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10 May 2011, 12:22
1
If the average of four positive integers is 30, how many integers of these four are greater than 25 ?

1. One of the integers is 100
2. The median of the four integers is 25

I completely understand how 1 is sufficient and 2 is insufficient, however in the kaplan prep materials it talks about how the two statements of a DS question cannot contradict one another. As a strategy, they explain that if they do conflict you should take it as evidence that you have misinterpreted the problem. If you look at these two statements combined, there is no way for a set of four positive integers with an average of 30 to have one of its integers equal 100 and also have a median of 25.

Am I correct on this? If so, this question is does not appear representative of a real gmat question.
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Joined: 20 Dec 2010
Posts: 1879

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10 May 2011, 12:36
Fk5000 wrote:
If the average of four positive integers is 30, how many integers of these four are greater than 25 ?

1. One of the integers is 100
2. The median of the four integers is 25

I completely understand how 1 is sufficient and 2 is insufficient, however in the kaplan prep materials it talks about how the two statements of a DS question cannot contradict one another. As a strategy, they explain that if they do conflict you should take it as evidence that you have misinterpreted the problem. If you look at these two statements combined, there is no way for a set of four positive integers with an average of 30 to have one of its integers equal 100 and also have a median of 25.

Am I correct on this? If so, this question is does not appear representative of a real gmat question.

Yes, you are correct. This question needs revision. For now; please ignore this. Good catch!!!
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Joined: 12 Aug 2009
Posts: 8

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10 May 2011, 12:38
Then I'm not losing my mind! haha
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 789

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15 May 2011, 20:20

fluke wrote:
Fk5000 wrote:
If the average of four positive integers is 30, how many integers of these four are greater than 25 ?

1. One of the integers is 100
2. The median of the four integers is 25

I completely understand how 1 is sufficient and 2 is insufficient, however in the kaplan prep materials it talks about how the two statements of a DS question cannot contradict one another. As a strategy, they explain that if they do conflict you should take it as evidence that you have misinterpreted the problem. If you look at these two statements combined, there is no way for a set of four positive integers with an average of 30 to have one of its integers equal 100 and also have a median of 25.

Am I correct on this? If so, this question is does not appear representative of a real gmat question.

Yes, you are correct. This question needs revision. For now; please ignore this. Good catch!!!
Retired Moderator
Joined: 20 Dec 2010
Posts: 1879

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16 May 2011, 00:04
gmat1220 wrote:

If we assume the question is correct:

A)
Average of four integers = 30;
Total=120;
One integer=100
Sum of rest(3 integers)=20
Thus; 3 integers less than 25. 1 integer more than 25.
Sufficient.

B)
Median=25
25,25,25,45 -- 1 integer greater than 25
1,25,25,69 -- 1 integer greater than 25
10,20,30,60 -- 2 integers greater than 25
Not Sufficient.

Ans: "A"
_________________
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 789

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16 May 2011, 02:05
really didn't see that coming. Btw its nice to see you on the Verbal forums too.....lol

fluke wrote:

B)
Median=25
25,25,25,45 -- 1 integer greater than 25
1,25,25,69 -- 1 integer greater than 25
10,20,30,60 -- 2 integers greater than 25
Not Sufficient.

Ans: "A"
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16 May 2011, 02:27
gmat1220 wrote:
:-D really didn't see that coming. Btw its nice to see you on the Verbal forums too.....lol

Yeah!!! A man has got to fight his demons !!!!
_________________
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 789

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16 May 2011, 03:25
twisted there are demons everywhere - DS to PS to RC to CR and most vulnerable is SC. RC is a beast ! And it camouflages too.

fluke wrote:
gmat1220 wrote:
:-D really didn't see that coming. Btw its nice to see you on the Verbal forums too.....lol

Yeah!!! A man has got to fight his demons !!!!
Re: m20 q 14 (spoiler alert) &nbs [#permalink] 16 May 2011, 03:25
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# m20 q 14 (spoiler alert)

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