Can Someone please explain why doesnt Greg take 1 and 16 for the no #16 or like 8 and 1 for no #8. In that way we can get a difference of Odd

Thanks

Can Someone please explain why doesnt Greg take 1 and 16 for the no #16 or like 8 and 1 for no #8. In that way we can get a difference of Odd

Thanks

Because the second statement says that the difference of ANY two factors has to be odd. Therefore, once you find one case in which it does not hold, you can dismiss it.

But then why not choose the one that is actually odd. And Go for Answer E.

Its not like ALL the factors need to have an odd difference .

Yes, you need to know that ALL factors result in an odd difference in order to establish with 100 percent confidence that n is equal to 2. The only case in which this works is 2 (the factors are one and two, their difference is 1, thus odd), for all other numbers this is not necessarily true. Therefore, if you know that claim 2 is true always, you can conclude that n=2 and therefore you can respond the question.