Quantitative Aptitude - Arithmetic Ability Questions

What is the value of Sin 30- √2 Cos 30

If a -­ b = 6 and ab =16, then a3 -­ b3 is

Expand and simplify (x + 4)2 + (x -­ 2)2

In how many years will Rs 25,000 yield Rs 8,275 as compound interest at 10% per annum compounded annually?

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 24200, and Rs 26620 respectively, what is the rate of interest?

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?

A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was:

Which of the following quadratic equations has real roots?