The maximum value of the natural number n for which \(21^n\) divides 50! is

If the compound interest earned on a certain sum for 2 years is twice the amount of simple interest for 2 years, then the rate of interest per annum is _______ percent

The remainder when \((29^{29})^{29}\) is divided by 9 is

You have been asked to select a positive integer N which is less than 1000, such that it is either a multiple of 4, or a multiple of 6, or an odd multiple of 9. The number of such numbers is

Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6, 7 and 9?

The number of pairs of integers whose sums are equal to their products is

In a school 70% of the boys like cricket and 50% like football. If x% like both Cricket and Football, then

Assume that all positive integers are written down consecutively from left to right as in 1234567891011...... The \(6389^{th}\) digit in this sequence is...

In a class of 65 students 40 like cricket, 25 like football and 20 like hockey, 10 students like both cricket and football, 8 students like football and hockey and 5 students like all three sports. If all the students like at least one sport, then the number of students who like…