Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then distance between their tops is

If 'A' can do \(\frac{1}{4}\) of a work in 3 days and 'B' can do \(\frac{1}{6}\) of same work in 4 days, how much will 'A' get if both work together and are paid ₹180 in all

The value of a flat worth ₹5,00,000 is depreciating at the rate of 10% p.a. In how many years, will the value be reduced to ₹364500.

The sum of n-terms of sequence \(\frac{1}{1 \times 2}, \frac{1}{2 \times 3}, \frac{1}{3 \times 4}, \ldots\) is

How many litres of water should be added to a 30 litres mixture of milk and water containing milk and water in the ratio 7:3 such that the resultant mixture has 40% water in it

The area of a circular play ground is 22176 cm\(^2\). What is the cost of fencing this ground at the rate of ₹50 per metre?

Given below are two statements: Statement I : The sum of exponents of prime factors in the prime factorization of 392 is 5. Statement II : The decimal representation \(\frac{13}{2^3 \times 5}\) will terminate after 2 decimal places. In the light of the above statements, choose th…

Which of the following is the value of m for which the polynomial \(x^4 + 10x^3 + 25x^2 + 15x + m\) is exactly divisible by \(x + 7\)?

Given below are two statement based on the following If A and B are independent events such that P(A) = p, P(B) = 2p and P(exactly one of A, B) = \(\frac{5}{9}\) Statement I: \(p = \frac{1}{3}\) Statement II: \(p = \frac{5}{12}\) In the light of the above statements, choose the c…