Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

What is the compound interest earned on Rs 80,000 at 40% per annum in 1 year compounded quarterly?

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

What is the reflection of the point (-0.5, 6) in the x-axis?

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

tan(A/2) is equal to