Quantitative Aptitude - Arithmetic Ability Questions

If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2?

What is the value of 10% of 150% of 400?

If ab-1b=cb-1c=ac-1a, then ac+ba+cb

A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)

In the first 45 overs of a 50 over innings, the run rate was 5.8 runs per over. What is the required run rate in the remaining overs to reach the target of 295 runs?

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

∆ABC inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If ∠ABC=36°then the value of ∠ADCis