self Maths Puzzle

What is the last digit of 1! - 2! + 3! - 4! + 5! - 6!+ .......+99!?

a) 9
b) 1
c) 0
d) None of these

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self Other Question

if a,b and c are non-zero numbers such that |a-b|=|c| and |a-c|=|b|, then what is the value of b^2+c^2 ?

a)a^2-2bc
b)2bc
c)a^2
d)a^2+2bc
How many zeroes are there between the decimal point and the first significant digit in (1/9)^200 given log 3 (base 10) = 0.4771?