Quantitative Aptitude - Arithmetic Ability Questions

Iftan 450=cot∅, then the value of ∅, in radians is 

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is

The ratio of present ages of Anil and Aakash is 4 : 5. Three years later their ages will be in ratio 7 : 8. What is the present age (in years) of Anil?

What is the value of Cot 45° - (1/√3)Cosec 60°?

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

What is the difference (in Rs) in Compound interest earned in 1 year on a sum of Rs 25,000 at 20% per annum compounded semi-annually and annually?

In what ratio does the point T (3,0) divide the segment joining the points S (4,­2) and U (1,4)?