Quantitative Aptitude - Arithmetic Ability Questions

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

Which among the following is true for the given numbers?

12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?

If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is

What is the value of [2 cot × (p – A)/2]/[1 + tan2× (2p – A)/2]?

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

A = (x8 – 1)/(x4 + 1) and B = (y4 – 1)/(y2 + 1). If x = 2 and y = 9, then what is the value ofA2 + 2AB + AB2?

If X + Y + Z = 9 then the value of (X -­ 4)3 + (Y -­ 2)3 + (Z -­ 3)3 - 3 (X -­ 4) (Y -­ Z) (Z ­- 3) is