Quantitative Aptitude - Arithmetic Ability Questions

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

On selling 56 chairs, Mohan earns profit equal to the selling price of 6 chairs. What is the profit percentage?

What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?

If secA/√(sec2A ­- 1) = x, then value of x is

What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?