If 5 different positive integers have 3 as its median, is the average

==> If you modify the original condition and the question, the sum of 5 integers>585=25?, and so there are 5 variables and 1 equation. Therefore, E is most likely to be the answer. However, if the question is “greater than”, you need to find the least value. By solving con 1) and con 2),
The least value of the sum becomes 1+2+3+4+16=26>25 yes, hence it is sufficient. The answer is C. However, this question is a key question, so you need to apply CMT 4 (A).
For con 1), the least value of the sum=1+2+3+4+16=26>25, hence yes, it is sufficient.
For con 2), 1+2+3+4+5=15<25 is no, 1+2+3+10+30=46>25 is yes, hence it is not sufficient. Therefore, the answer is A.
This question, related to CMT 4 (A), is 5051-level question in current GMAT.

Answer: A

Breaking Down the Info:

The first three integers have to be 1, 2, 3 since we have unique positive integers.

Rephrase the question:

Is the total of the five integers greater than \(5*5 = 25\)? Is the total of the 2 biggest integers greater than \(25 - 1 - 2 - 3 = 19\)?

Statement 1 Alone:

The 2nd greatest integer must be at least 4. Then the greatest 2 integers must be at least 20. Therefore statement 1 is sufficient.

Statement 2 Alone:

This is already known. Then statement 2 is insufficient.

Answer: A