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

The area of the circle that can be inscribed in a square of side 6 cm 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 radii of two cones are in the ratio 2 : 3 and their volumes in the ratio 1 : 3. Then the ratio of their heights 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,…

Given below are two statements: Statement (I): 4 boys and 8 girls completed \(\frac{1}{3}\)rd of work in 5 days. After that 3 boys and 3 girls increased, and they completed \(\frac{1}{3}\)rd more work in 3 days. If the remaining work is to be completed in 2 days, then the number…

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

Which of the following statements are True in the context of circles? A. A tangent of a circle touches it at two points. B. A circle can have two parallel tangents at the most. C. There is no tangent to a circle passing through a point inside the circle. Choose the correct answer…

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