Quantitative Aptitude - Arithmetic Ability Questions

The figure shown below consists of the tangents at the extremeties of any chord. Choose the correct option given below.

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

At what rate of compound interest per annum will a sum of Rs 20000 become Rs 25088 in 2 years?

A train crosses a 550 m long platform in 36 seconds. How long was the train if it was travelling at the speed of 70 kmph?

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

If 2+x+2-x2+x-2-x=2,then the value of X is

Karteek is twice as good a foreman as Raju and together they finish a piece of work in 20 days. In how many days will Raju alone finish the work?