self Maths Puzzle

How many zero's are there at the end of 100!?

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self Other Question

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)
The value of a diamond is directly proportional to the square of its weight. If a diamond weighing 4kg breaks into 2 pieces, its total value decreases by 37.5%. Find the weights of the two pieces.