Quantitative Aptitude - Arithmetic Ability Questions

What is the third proportional to 9 and 15?

In a week, how many times are the hands of a clock at right angles with each other?

The slopes of two lines are 1 and √3. What is the angle between these two lines?

When [x + (1/x)] = 5, then what is the value of [x – (1/x)]?

What is the value of cot210°?

If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?

Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8.

Iftan 450=cot∅, then the value of ∅, in radians is