Quantitative Aptitude - Arithmetic Ability Questions

tan(A/2) is equal to

∆ABC inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If ∠ABC=36°then the value of ∠ADCis 

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?

A sum of Rs 400 becomes Rs 448 at simple interest in 2 years. In how many years will the sum of Rs 550 amounts to Rs 682 at the same rate?

The difference between compound interest and simple interest on a sum for 2 year at 20% per annum is Rs 200. If the interest is compounded half yearly, then what is the difference (in Rs) between compound and simple interest for 1st year?

If cost price of 5 cars is equal to selling price of 4 cars. Find the percentage of profit or loss?

The average age of 19 boys in a class is 21 years. If the teacher's age is included, the average increases to 22 years. What is the teacher's age?