Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin(11π/6)?

If a+1a2 = 3, then the value of  a3+1a3 is

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

The co-ordinates of the centroid of a triangle ABC are (3,-2). What are the co-ordinates of vertex C if co-ordinates of A and B are (-2,5) and (6,-2) respectively?

Coefficient of x2 in 6x3 + 4x2 + 2x + 3 is

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

In ΔDEF measure of angle E is 90 deg. If sinD = 15/17, and DE = 4cm, then what is the length (in cm) of side EF?

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?