Quantitative Aptitude - Arithmetic Ability Questions

Pipes A and C can fill an empty cistern in 32 and 48 hrs, respectively while Pipe B can drain the filled cistern in 24hrs. If the three pipes are turned on together when the cistern is empty, how many hrs will it take for the cistern to be 2/3 full?

In ΔPQR measure of angle Q is 90°. If cosP = 5/13, and PQ = 2.5cm, then what is the length (in cm) of side PR?

If 7x + 2 ≥ x - 2 and 7 + 2x ≥ 3 + 3x; then x can take which of the following values?

If (1 + cosA)/(1 - cosA) = x, then x is

From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of remaining solid?

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°?