Question

5 11 49 223 ? options 1) 789 2) 769 3) 753 4) 764 5) none of these

Answer 1

One solution gives 637 as the next term, which is none of the first 4 options in the answers, but satisfies the 5th. The formula (52x^3-108x^2+74x+15)/3 gives the terms with x=0, 1, 2, 3 and 637 for the next term (x=4).

I suspect this isn't the solution you were looking for.