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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.

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!!! _________________

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!!!

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.

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.