Quantitative Aptitude - Arithmetic Ability Questions

Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

Find the value of p if 3x + p, x -­ 10 and ­x + 16 are in arithmetic progression.

The surface area of a sphere is 5544 sq.cm. Find its diameter (in cm).

A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

P can do a piece of work in 60 days & Q can do the same work in 50 days. Find the ratio of working efficiencies of P to Q.

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 120 sq.cm and 8 cm respectively ?

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?