self Maths Puzzle

ABCDEF is a six digit number divisible by 13. Which of the following will necessarily be divisible by 13?
1. 5(A - D) + 2(B - E) - 2(C - F)
2. 4(A - D) + 5(B - E) - (C - F)
3. 4(A - D) + 2(B - E) - 5(C - F)
4. 4(A - D) + 3(B - E) - (C - F)

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self Other Question

Find the remainder when 77777..... (upto 37 digits) is divided by 19. How many zero's are there at the end of 100!?