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Hi rhyme, you're right, I made a mistake, statement 2 is S^2. And thanks for the explanation.

rhyme wrote:

Thats not possible.

I dont believe the GMAT ever makes questions where statements 1 and 2 contradict each other.

That is, if S < 20 then the sqr(S) CANNOT be greater than 220

Did you mean S^2 ?

Assuming so...

As for statement (1)

If S<20

n could be the first 3 positive integers, 1,2,3, or the first four, 1,2,3,4, or the first five 1,2,3,4,5 but not the first six 1,2,3,4,5,6 (that would be 21)

So (1) insuff.

As for statement 2,

that means that S could be some big #, 21, 15

again, that means n could be... 5 (1,2,3,4,5) or 1,2,3,4,5,6 or a bunch of other possibilities

so (2) insufficient

Assuming both are true,

S could be some big number, 21, 15 meaning n could be 5, 6 or some number more than that

but ... from statement 1 we know n can be 1,2,3,4,5 but not 6.