Quantitative Aptitude - Arithmetic Ability Questions

If a - b = 2 and ab = 8, then what is the value of a3 - b3?

If a taxi going at 40 km/hr takes 25 minutes to travel a certain distance, by how much should it increase its speed (in km/hr) to travel the same distance in 20 minutes?

Mummy can bake 75 cakes in 15 hours, Mummy and Sister together can bake 120 cakes in 20 hours. How many cakes Sister can bake in 30 hours?

Selling price of a calculator is Rs 13924 and profit percentage is 18%. If selling price is Rs 10266, then what will be the loss percentage?

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

Determine the value of a2+b2a3+b3 when a = 2+√3 and b = 2-√3.

If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to A?