Quantitative Aptitude - Arithmetic Ability Questions

Incentre of Δ ABC is I. ∠ABC = 90° and ∠ACB = 70°. ∠AIC is

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π=22/7)

If curved surface area of a cylinder is 616 sq cm and height is 14 cm, find its radius?

Of the 3 numbers whose average is 112, the first is 3/13 times the sum of other 2. The first number is _____.

A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold.

Out of two numbers, 30% of the smaller number is equal to 18% of the larger number. If the sum of the two numbers is 840, then what is the value of the larger number?

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?