The probabilities that A, B, and D can solve a problem independently are \(\frac{1}{3}\), \(\frac{1}{3}\) and \(\frac{1}{4}\) respectively. The probability that only two of them are able to solve the problem is .

Given below are two statements based on the following: Aman takes half time in rowing a certain distance downstream than upstream. Statement (I): Ratio of the speed of the boat in still water to the speed of the water current is 2 : 1. Statement (II): If the speed of the boat in…

The number of integral solutions of the equation \(7\left(y+\frac{1}{y}\right)-2\left(y^2+\frac{1}{y^2}\right)=9\) is

How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?

Given below are two statements: Statement (I): \((x^2+3x+1)=(x-2)^2\) is not a quadratic equation. Statement (II): The nature of roots of the quadratic equation \(x^2+2x\sqrt{3}+3=0\) are real and equal. In light of the above statements, choose the most appropriate answer from th…

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is

The total number of seconds in P weeks, P days, P hours, P minutes and P seconds is.

Amicable numbers are a pair of distinct natural numbers (a, b) such that the sum of the proper divisors of a equals b and the sum of the proper divisors of b equals a. Given that (220, y) is a pair of amicable numbers, y = _________. (For example, proper divisors of 10 are 1, 2,…

\(k^2-1\) is divisible by 8, if k is