Quantitative Aptitude - Arithmetic Ability Questions

A and B can together do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

The reciprocals of the squares of the numbers 11⁄2 and 11⁄3 are in the ratio

The prices of chairs and tables are in the ratio of 9 : 5. If the chairs cost Rs. 4200 more than the tables, find the price of the tables? (in Rs.)

If sin(A/2) = x, then the value of x is

If cos 21° = x/y, then cosec 21° -­ cos 69° is equal to

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

If √(1 + cot2A)/cotA = x, then the value of x is

A man covered a certain distance by a train running at the speed of 50 km/hr and covers the same distance back by walking at the speed of 5 km/hr. Ifthe whole journey took 5 hours 30 minutes, then what was the distance (in km) of one side?