Show that `3^nxx4^m` cannot end with the digit 0 or 5 for any natural numbers 'n' and 'm'.

Show that 12^(n) cannot end with the digit 0 or 5 for any natural number ‘n’.

Check whether 6^n can end with the digit '0' for any natural numbers n.

The A.M of first n natural numbers is

Find the number 5-digit number s that can be formed using the digits, 0, 1, 2 3, 4, 5 if each digit can be used any number of times,

The number of odd numbers lying between 40000 and 70000 that can be made from the digits 0, 1, 2, 4, 5, 7 if digits can be repeated any number of times is

The maximum number of electrons that can have the set of quantum numbers, n=4, m_(l)=0 and m_(s)=1/2 is

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?

Use Euclid's division lemma to show that the square of any positive integer is of the form 5n or 5n+1 or 5n+4, where n is a whole number.