Quantitative Aptitude - Arithmetic Ability Questions

If tanθ = 815, then 1-sinθ1+sinθ is

The value of (1 - √2) + (√2 - √3) + (√3 - √4) + ..... + (√15 - √16) is

The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?

Two pipes X and Y can individually fill a tank in 48 and 72 min respectively. If they are opened simultaneously, how long will it take for the tank to fill? 

The length, breadth and height of a cuboid are 12 cm, 8 cm and 6 cm respectively. The volume of the cuboid is (Use π = 22/7)

The simple interest on a certain sum of money invested at a certain rate for 2 years amounts to Rs. 1200. The compound interest on the same sum of money invested at the same rate of interest for 2 years amounts to Rs. 1290. What was the principal?

In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC.