Quantitative Aptitude - Arithmetic Ability Questions

Rs. 782 is divided into 3 parts in the ratio 12:23:34, the first part is 

What is the value of Tan 60 + Cosec 60?

A, B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?

In a class, average height of all students is 'a' cms. Among them, average height of 10 students is 'b' cms and the average height of the remaining students is 'c' cms. Find the number of students in the class. (Here a>c and b>c )

A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?

What is the smplified value of Sin2A/1+Cos2A ?

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?

The third proportional of two numbers 9 and 24 is