Hi grandh01,
This problem is a great illustration of the important of analyzing the question stem before you move onto the statements. After all, look at those statements--statement 2), in particular, if a huge, messy number with a bunch of prime terms raised to high powers!
But if you stop for a moment, you can make some key deductions before you move on to either statement. First, the question asks if an integer's units digit is zero. Well, what's that mean? It ends in zero, which is a giveaway--the question is really asking if the number is a multiple of ten!
So, statement 1 gives us 35 and 14 as factors of N. But to be divisible by 35, N must be divisble by 5. So be divisible by 14, N must be even. And an even number divisible by 5 does divide by 10 and ends in 0. Sufficient--done!
An 2) is similar. It looks like a mess, but all that matters is the 2 and the 5. N has at least one 2 and at least one 5, so it ends in at least one 0. (of course, you don't even need to make THAT deduction; you have an exact value for N which will always be sufficient!)
The answer is definitely (D), and we're done.
