Quantitative Aptitude - Arithmetic Ability Questions

If a3+1a3 = 2, then the value of a2+1a?

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?

If a young son works quickly for 2 hours and prepares 16 items in a day, and his old father works slowly for 8 hours and prepares 24 items in a day, which of the following is true?

If x2+1x2-6, then find the value of 2x(x-1)x3-x2-x+1

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

If 2cosAsinB = x, then the value of x is?