Quantitative Aptitude - Arithmetic Ability Questions

The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the average of the last 8 numbers is 8.5 then middle number is

The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

If 2+aa + 2+bb + 2+cc = 4, then the value of ab+bc+caabc is

What is the reflection of the point (5, -2) in the line y = -1?

What is the value of (cot30°+ 2/√3) ?

If cos 45° - ­ sec 30° = x, then value of x is

The distance between the points (7,7) and (k,-5) is 13. Find k?

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is