Quantitative Aptitude - Arithmetic Ability Questions

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

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

What is the value of 2 - 2z + z22 + 2z - z2, when z+2z = 2 ?

Find the unit digit in the given product (4211)102 x (361)52.

The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

Find the sum of interior angles of a dodecagon?

A, B and C can finish a job working alone in 20, 30 and 60 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to finish the remaining part of the job?

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?