Quantitative Aptitude - Arithmetic Ability Questions

A,B and C contract a work for Rs. 440. Together A and B are to do 9/11 of the work. The share of C should be:

A,B and C together start a business. Three times the investment of A equals four times the Investment of B and the Capital of B is twice that of C. The ratio of share of each in the profit.

If x + (1/x) = (√3 + 1)/2, then what is the value of x4 + (1/x4)?

What is the value of [cos (90 + A)÷sec (270 – A)] + [sin (270 + A)÷cosec (630 – A)]?

The value of sec217°-1tan273°-sin17°sec73°

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?