Quantitative Aptitude - Arithmetic Ability Questions

Qamar gained 16% on the resale of a used stereo. If he purchased the item for Rs. 1500, how much did he sell it for?

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?

P, Q and R are partners in a company. In any year P receives 1/9 part of profit, Q receives 1/6 part of profit and R receives Rs 130000. How much amount (in Rs) will P get as profit?

α and β are the roots of the quadratic equation x2 – x – 1 = 0. What is the value of α8 + β8?

The sum of the digits of a 2­digit number is 17. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is

Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is