Quantitative Aptitude - Arithmetic Ability Questions

Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is

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

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?

At what point does the line 3x + 2y = -12 intercept the Y-axis?

2 ­- (cosA + sinA)2 is equal to

In a cricket match, the scores of the players are considered such that coefficient of variation of scores is 16 and mean is 25 then the variance is

When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?