The least value of n, such that (1 + 3 + 3² + ... + 3ⁿ) exceeds 2000, is-

Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-

A copper wire is bent in the form of an equilateral triangle and has area 121√3 cm² . If the same wire is bent into the form of a circle, the area (in cm²) enclosed by the wire is (Take pi= 22 /7)

A man borrows some money at 3% simple interest per annum and lends it to somebody at 5% interest to be compounded annually. By this he makes a profit of Rs.541 at the end of 3 years. The money he borrowed was-

The side of a square is 8 cm. If a square is made by joining the mid points of each sides of this square and this process goes up to infinity. Calculate the sum of areas of all the squares made.

If in a sale, the discount given on a saree is equal to one-fourth of the marked price and the loss due to this discount is 15%, then the ratio of the cost price to the selling price is-

Which state has decided to cancel the 12th board exams after various states?