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

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?

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

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 \(x + 7\)?

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

Which of the following trigonometric identities are true? A. \(\sin^2(41^\circ) + \sin^2(49^\circ) = 1\) B. \(\sin^2(60^\circ) - 2\tan(45^\circ) - \cos^2(30^\circ) = -1\) C. \(\sin^2(\theta) + \frac{1}{1+\tan^2(\theta)} = 1\) Choose the correct answer from the options given below…

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.

If A earns \(33\frac{1}{3}\)% more than B, then percentage B earns less than A will be

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