Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

What is the value of (1/√3 + sin45 ) ?

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 21⁄2 hours to fill the tank. The leak can drain all the water off the tank in how many hours?

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

Common factor of 12a4b6, 18a6c2, 36a2b2 is