Quantitative Aptitude - Arithmetic Ability Questions

If 3a – (3/a) – 3 = 0, then what is the value of a3 – (1/a3) + 2?

What is the area (in sq cm) of an equilateral triangle of side 6 cm?

If tan π/3c + cosec π/6c = x, then x is

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Find the mean of marks of the students of three divisions of Class X.

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

What is the value of (cosecA - cotA) / (secA + tanA)?

Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?