Quantitative Aptitude - Arithmetic Ability Questions

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area (in sq cm) of the circle?

The volume of a hemisphere is 19404 cm3. Find its diameter (in cm).

The volume of a right circular cone, whose radius of the base is same as its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is

Mohan starts to calculate sum of all odd natural number less than 83. What result does he get?

10 people could complete a task in 8 days. After 4 days, 2 of the workers left. How many days from then did it take to complete the task?

The amount of extension in a spring is proportional to the weight hung on it. If the weight of 5 kgs produces an extension of 0.4 cm, what weight would produce an extension of 5cm?

In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?

Two trains are moving in the same direction at the speed of 35 km/hr and 71km/hr. The time taken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?