Quantitative Aptitude - Arithmetic Ability Questions

Determine the value of 1r+1s when r3+s3=0 and r+s=6 ?

The average age of 19 boys in a class is 21 years. If the teacher's age is included, the average increases to 22 years. What is the teacher's age?

From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If ∠BAC = 60°, then the value of ∠BID is

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

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

If the arithmetic mean of two numbers is 7 and the geometric mean of the same two numbers is 2√10. Then find the numbers x and y respectively, such that x>y.

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

What is the value of sec 330°?