general Maths Puzzle

When 1+3x+5x^2+7x^3+
+ ยทยทยท +99x^49 is divided by (x-1) the remainder is
(a) 2000 (b) 2500 (c) 3000 (d) 3500

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general Other Question

The four digit number 2652 is such that any two consecutive digits from it make a multiple of 13. Another number N has this same property, is 100 digits long, and begins with 9. What is the last digit of N?
If we consider date pattern d1d2/m1m2/y1y2y3y4 in the order day/month/year and choose those dates which contains no repetitions of a digit.For example, the date 23/05/1967.Is there any date with no repetition of digits in the years from 2000 to 2099