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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed." - Bernard Edmonds

A person who is afraid of Failure can never succeed -- Amneet Padda

The explanation for S1 indicates that all integers are knowable (The greatest integer is 4).

S2 indicates that "the sequence has both positive and negative integers" therefore zero is included and the product will be zero.

Nothing is incorrect with the explanation, but S1 would also be sufficient by dint of zero also being included in the sequence. Or at least that's what I take consecutive to mean.

I only mention this because it's another way to prosecute S1, although I admit knowing I could crank out the product concretely was the first reason I discounted S1.

Be wary when consecutive integers cross 0.

Statement 1) says 4 is the greatest integer so the sequence will look like this -1,0,1,2,3,4 (the product of these consecutive numbers is 0) SUFFICIENT

Statement 2) If the consecutive numbers have positive and negative numbers then it MUST cross 0. This will also yield 0 all the time. SUFFICIENT ex: -1,0,1,2,3,4 ex 2: -2,-1,0,1,2,3

D is the answer.

_________________

I'm trying to not just answer the problem but to explain how I came up with my answer. If I am incorrect or you have a better method please PM me your thoughts. Thanks!

From S1: we can conclude : {-2 -1 0 2 3 4} So Ans =0 From S2 : We can conclude: {-4,-3,-2,-1,0,1}, {-3,-2,-1,0,1,2}, {-2,-1,0,1,2,3}, {-1,0,1,2,3,4} So any set Ans =0 So S1 and S2 could individually solve the answer so answer option is E.