Quantitative Aptitude - Arithmetic Ability Questions

What is the value of Tan 60 + Cosec 60?

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

24.97% of 84.01 ÷ 6.995 = ?

The third proportional of two numbers 9 and 24 is

If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?

At 15% discount the selling price of a microwave oven is Rs 34000, what is the selling price if the discount is 37.5%?

In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

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

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 )