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

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

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,…

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 .

Let A and B be two events such that P(A) = 0.25, P(B) = 0.50 and \(P(A\cap B)=0.14\). The probability that neither A nor B occurs is

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

The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is

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…