Quantitative Aptitude - Arithmetic Ability Questions

If cot(A/2) = x, then the value of x is

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

x and y are two numbers such that their mean proportion is 8 and third proportion is 512. What is the value of x and y?

An angle is smaller than its supplementary angle by 70°. What is the measure of the angle?

In triangle ABC, AB = 8 cm, angle A is bisected internally to intersect BC at D. BD = 6 cm and DC = 7.5 cm. What is the length of CA?

What is the difference (in Rs) between the compound interests on Rs. 4000 for 1 year at 12% per annum compounded yearly and half-yearly?