By what percentage the net sales for June increased as compared to May in the Footwear category?

A and B take part in a rifle shooting match. The probability of A hitting the target is 0.4, while the probability of B hitting the target is 0.6. If A has the first shot, post which both strike alternately, then the probability that A hits the target before B hits it is

Suppose \(a, b\) and \(c\) are three real numbers such that \(\text{Max}(a,b,c) + \text{Min}(a,b,c) = 15\), and \(\text{Median}(a,b,c) - \text{Mean}(a,b,c) = 2\). Then the median of \(a, b\) and \(c\) is

Let A and B be two finite sets such that \(n(A - B)\), \(n(A \cap B)\), \(n(B - A)\) are in an arithmetic progression. Here \(n(X)\) denotes the number of elements in a finite set \(X\). If \(n(A \cup B) = 18\), then \(n(A) + n(B)\) is

In triangle \(ABC\), \(AB = AC = x\), \(\angle ABC = \theta\) and the circumradius is equal to \(y\). Then \(\frac{x}{y}\) equals

A natural number n lies between 100 and 400, and the sum of its digits is 10. The probability that n is divisible by 4, is ________________

Let \(f(x) = a^2x^2 + 2bx + c\) where, \(a \neq 0\), \(b, c\) are real numbers and \(x\) is a real variable then

The set of all values of \(x\) satisfying the inequality \(\log_{\left(x+\frac{1}{x}\right)}\left[\log_2\left(\frac{x-1}{x+2}\right)\right] > 0\) is

The remainder when \(11^{1011} + 1011^{11}\) is divided by 9 is