Quantitative Aptitude - Arithmetic Ability Questions

If a+1a2 = 3, then the value of  a3+1a3 is

Simplify 0.1x0.1x0.1 + 0.3x0.3x0.30.3x0.3 - 0.3x0.1 + 0.1x0.1

If 7x - [3(2x - 3)]/2 = 1/2, then what is the value of x?

O is the orthocentre of∆ABC, and if ∠BOC = 110° then ∠BAC will be

Karan, Arjun, Preeti, Priya and Ashish are travelling in a car. Three years ago, the average age of Arjun, Preeti and Priya was 42 years. If the present age of Karan is 65 years and the present average age of all five is 50 years, then what is the present age of Ashish?

If Tan θ = 4/3, then what is the value of Sin θ?

The area of an equilateral triangle is 25√3 sq.cm. Find its side (in cm).

In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5:3. The number of girls to be added in the union, so that the number of boys to girls in 6:5 is