general Maths Puzzle

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

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general Other Question

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
A man had three daughters. Another man asked him the ages of his daughter. He told that the product of their ages is 36.
Second man was confused and asked for another clue. First man told him that the sum of their ages is equal to his house number.
Second man did some calculations and was still confused. He asked for another clue. First man told him that his youngest daughter had blue eyes. On hearing this, second man immediately gave the correct Answer.

Question : What are the ages of his daughter ?