Quantitative Aptitude - Arithmetic Ability Questions

Rakshanth is twice as good as tradesman as Verma and together they finish a piece of work in 19 days. In how many dayswill Verma alone finish the work?

If 3a+4b3c+4d = 3a-4b3c-4d, then 

√(1 + tan2A)/tanA is equal to

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (√3=1.732)

Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

ΔPQR is right angled at Q. If tanP = 24/7, then what is the value of cosR ?

Simplify 576b3x2a4z3/36a3b2z