[quote="RR"I feel that zero can be on the list. But the good part is, the answer does not change if zero is there. If zero is there, the product of all numbers in the list will be zero and hence positive.[/quote]
whoa, back up that train.
kill that noise.
ZERO IS NOT POSITIVE.
it's not negative, either.
zero is neither positive nor negative.
you know this, by the way, whether you realize it or not. remember all your old trusty rules, such as "negative times positive = negative"? yeah, those would fall apart if zero were considered positive. for instance, consider -6 x 0 = 0.
zero is, however, even (as are things like -2, -4, and so on).
--
the good thing is, though, that zero can't be in the list under the demands of statement #1 (because, under statement #1, the numbers are either all positive or all negative). therefore, you can forget about zero as soon as you ascertain that statement #2 is insufficient.