In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?

LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, the other number is

3¹¹ + 3¹² + 3¹³ + 3¹⁴ is divisible by which of the following?

For an equilateral triangle, the ratio of the in-radius and the outer- radius is

At what rate per annum will Rs. 32000 yield a compound interest of Rs. 5044 in 9 months interest being compounded quarterly?

A work can be completed by 20 men in 50 days. 30 more men join them after 10 days of work. How many days will be saved in completion of the work?

Three partner A, B and C started a business by investing Rs. 48000 each. after 6 months, A left the business after 10 months B left the business and after 12 months C left the business. If total earned profit is Rs. 5250, then find the share of A, B and C?

From the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in m) between the height of the pole and its distance from the hill is: