Quantitative Aptitude - Arithmetic Ability Questions

tanAcosec2A is equal to

A car travels a certain distance at 34 km/h and comes back at 66 km/h. What is the average speed for total journey?

Anil can do a piece of work in 14 days which Rohit can do in 21 days. They worked together for few days after which Anil left. If Rohit worked alone for 3 days, find the total number of days it took to complete the whole work.

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

How long does a train, 75 m long, moving at 60 km/hr take to pass a certain telegraph post?

ΔPQR is right angled at Q. If cosP = 5/13, then what is the value of cosecR ?

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

What is the value of sinAtanA/(1 - cosA)?