Quantitative Aptitude - Arithmetic Ability Questions

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

At what rate of compound interest (in %) per annum will a sum of Rs. 15,000 become Rs. 18,150 in 2 years?

If the simple interest on Rs. 400 for 10 years is Rs. 280, then rate of interest per annum is

84% of a number is 105. The number is :

Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?

If xa+b+1=xa-b+a-ba+b, then x is equal to

A and B together can complete a task in 12 days. However, if A works alone, completes half the job and leaves and then B works alone and competes the rest of the work, it takes 25 days in all to complete the work. If B is more efficient than A, how many days would it have taken B to do the work by herself?

The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.