Amazing Sequence

If x = ( 11 + 11 ) × ( 12 + 12 ) × ( 13 + 13 ) × × ( 18 + 18 ) × ( 19 + 19 ) x=(11+11) \times (12+12) \times (13+13) \times\cdots \times (18+18) \times (19+19) , what will be the remainder if x x is divided by 100?


The answer is 80.

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