Quantitative Aptitude - Arithmetic Ability Questions

tan3A is equal to

Find the value of 777777?

The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

1/3 part of a certain journey is covered with the speed of 25 km/hr, 1/2 part of the journey is covered with the speed of 45 km/hr and the remaining part covered with the speed of 37.5 km/hr. What is the average speed (in km/hr) for the whole journey?

A can do a work in 16 days and B in 20 days. If they work on it together for 8 days, then what fraction of work is left?

The reciprocal of the sum of the reciprocals of 3/8 and 8/11 is:

Find the least number which must be subtracted from 18265 to make it a perfect square