Quantitative Aptitude - Arithmetic Ability Questions

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

A wholesaler sells a watch to a retailer at a gain of 20% and the retailer sells it to a customer at a loss of 10%. If the customer pays Rs 874.8, what had it cost the wholesaler?

To cover a distance of 90 km in 2.5 hours what should be the average speed of the car in meters/second?

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

When a number is increased by 105, it becomes 135% of itself. What is the number?

If cotA = x, then the value of x is

If a + b = 3 and ab = -4, then what is the value of a3 + b3?