Quantitative Aptitude - Arithmetic Ability Questions

Point A (4 , 2) divides segment BC in the ratio 2:5. Co-ordinates of B are (2 , 6) and C are (7 , y). What is the value of y?

If x + y = 10 and xy = 4, then what is the value of x4 + y4?

The difference between compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum payable yearly is

A sum becomes Rs 10000 in 10 years on simple interest at the rate of 10% per annum. What is the total interest (in Rs) of the 10 years?

In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%?

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?