Quantitative Aptitude - Arithmetic Ability Questions

The average of 7 numbers is 30. If the average of first three numbers is 25 and that of last three numbers is 35, then what is the fourth number?

Shivam is 10% less efficient than Vivek. If Vivek can make a helmet in 9 days, then in how many days Shivam can complete the same work?

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

The vertical angle A of an isosceles triangle ΔABC is three times the angle B of it. The measure of the angle A is

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

If (x ­- 2) (x -­ p) = x2 - ax + 6, then the value of (a -­ p) is

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is