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

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?

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…

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

If \(x \in (a, b)\) satisfies the inequality, \(\frac{x-3}{x^2+3x+2} \ge 1\), then the largest possible value of b - a is

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

If a, b, c are real numbers \(a^2+b^2+c^2=1\), then the set of values \(ab+bc+ca\) can take 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 inequality…