Number System T...

Find the number of positive integers which are not greater than 100 and are not divisible by 2, 3 or 5.

Find the sum of two digit numbers which gives remainder 3 when divided by 7.

The sum of the quotient and the remainder when a number is divided by 4 is 8 and the sum of their squares is 34. Find the number.

How many numbers are there between 500 and 600 in which 9 occurs only once?

2! + 4! + 6! + 8! + 10! + ……..100! when divided by 3, would leave remainder

For any natural number n, n⁴ + n² + 1 is always

Let D be a rational number of the form D = 0. abcd abcd abcd ….., where digits a, b, c and d are integers lying between 0 to 9. At most three of these digits are zero. By which number should D be multiplied so that the result will be a natural number?