5lb (2nd edition), chapter 21 Q8

[aditya.gujral3]

The question ( chapter number 21, question 8, 5 lb
Book of GRE, page 740 ) :
For a set of 30 integers, the average is 30 and none of the integers are greater than 60

Quantity A
The range of the set

Quantity B
30

Answer mentions that "example 1: set containing fifteen 0s and fifteen 60s"

What I am arguing is that a "set" containing fifteen 0s and fifteen 60s is equal to {0, 60}.
That is 2 integers not 30 integers. Note that "set" contains unique elements, as mentioned in official guide. Hence, why is the answer not A and instead D?

[tommywallach]

You're making the mistake of inserting the word "distinct" in the question when it didn't say it. This is a HARD GRE rule. If they don't say "distinct," then the numbers do not have to be different. So a set of 30 integers just needs to have 30 integers, and they can all be the same OR all different or any combination.

Thanks!

-t

[aditya.gujral3]

Hi,
Thanks for replying. Sorry if I was not clear in the question itself. Does a set of integer means a mathematical set of integers or just a collection?
I also verified in Math review that in a set "repetitions are not counted as additional elements" ( page 276 of official guide second edition).

[tommywallach]

That distinction is not recognized by the GRE. A set of numbers is not a hard mathematical term. It just carries its English meaning. So yes, you can have duplicates and they will be counted separately.

-t