Quantitative Aptitude - Arithmetic Ability Questions

If x+3y=-3x+y, then x22y2 is equal to

The maximum number of common tangents that can be drawn to two disjoint circles is

O is the centre of the circle and ∠AOB = 150°, and the shaded portion is x part of the circular region, then x = ?

Find 2 consecutive natural numbers, sum of whose squares is 25.

The simple interest on a certain sum of money invested at a certain rate for 2 years amounts to Rs. 1200. The compound interest on the same sum of money invested at the same rate of interest for 2 years amounts to Rs. 1290. What was the principal?

The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is

A number exceeds its 1/6 by 30. What is the number?

From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is