Quantitative Aptitude - Arithmetic Ability Questions

Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is

The ratio between the speeds of two buses is 11:9. If the second bus runs 270 kms in 15 hours, then the speed of the first bus is?

The cube of 105 is

5 litres of honey contains 80% sugar. 3 litres of water is added to this honey. What is the percentage of sugar in the new mixture?

If cot π/3c -­ tan π/4c = x, then the value of x is

What is the value of tan 4π/3?

If tan(A/2) = x, then the value of x is

What is the simplified value of 12-13 ?