Quantitative Aptitude - Arithmetic Ability Questions

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

At what rate of compound interest per annum will a sum of Rs 50000 become Rs 73205 in 2 years?

If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
What is the length of the side of the triangle?

The least number that must be added to 8961 to make it exactly divisible by 84 is

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

The angle of elevation of the top of a tower from two horizontal points (in opposite sides) at distances of 25 meter and 64 meter from the base of tower are x and 90° - x respectively . The height of the tower will be

Determine the value of z in the equation: z = 20+20+20+20+...∞