Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, ∠B = 70° and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is

What is the average of all numbers between 11 and 80 which are divisible by 6?

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

The ratio of speeds of X and Y is 5:7. Y covers a distance of 420 km in 3 hours. What is the speed of X?

Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m.?

What is the simplified value of 1-sin A1+sin A ?

What is the simplified value of [2/(cot A – tan A)]?

cot3A is equal to