Quantitative Aptitude - Arithmetic Ability Questions

If (6x ­- 5) = (4x + 7), then the numerical value of (x + 1)3  is

tan(A/2) is equal to

If 1aa2+1 = 3, then the value of a6+1a3 is

The cube of 105 is

A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B and C finish it, working all together?

A boy walking at the speed of 4 km/hr covers a certain distance in 6 hours 15 minutes. If he covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of the cycle?

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)

The largest 5 digit number exactly divisible by 84 is: