Quantitative Aptitude - Arithmetic Ability Questions

When x2+ax+b is divided by (x-1), the remainder is 15 and when x2+bx+a is divided by (x+1), the remainder is -1, then the value of a2+b2 is

A boat goes 8 km upstream and 12 km downstream in 7hours. It goes 9 km upstream and 18 km downstream in 9 hours. What is the speed (in km/h) of the boat in still water?

In the fig. ∆ABC is inscribed in a circle with centre O. If ∠ABC = 30° then ∠ACB is equal to

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

Average of all even numbers between 222 and 250 is __________.

If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 – 3xyz?

In Δ ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is