Question
What is the difference between (in m2) the
area of a circular field of radius 14 metres and area of a rectangular piece of land having its dimensions as 15 metres × 25 metres?Solution
Area of the circular field = π × radius2 = (22/7) × 14 × 14 = 616 m2 Area of the rectangular piece of land = length × breadth = 15 × 25 = 375 m2 So, difference in area = 616 – 375 = 241 m2
The height of a right circular cone is 7 cm, and its volume is 733(1/3) cm³. Determine the diameter of the cone.
The cost price of 21 mangoes is Rs.200. Because of bad quality of mangoes, the shopkeeper has to sell mangoes at a loss that is equal to selling price o...
A car travels 360 km in 4 hours. At the same speed, how far will it travel in 7 hours?
P invested Rs. 7,000 at a simple interest rate of 22% per annum, while Q invested an unknown sum at a compound interest rate of 2...
If sin x + sin 2x = 1 and cos x + cos 2x = 0, find x.
Simplify the following expression:

I. 3x2 – 15x + 18 = 0
II. 2y2 – 40y + 198 = 0
What is the total percentage increase in enrollment for the Science stream from Year 1 to Year 3?
120Â Â 124Â Â 151Â Â 167Â Â Â 292Â Â Â ?
If a person invests ₹50,000 in a scheme offering a compound interest of 5% per annum, calculate the total amount he will have after 3 years. Assume th...