Quantitative Aptitude - Arithmetic Ability Questions

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

If (x - 13)2 + (y - 4)2 = 0, then the value of y + xy - x ?

If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?

The selling price of an item inclusive of a 16% profit was Rs. 435. What would be the percentage loss if the item was sold for Rs. 330?

Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?

In how many years will Rs 25,000 yield Rs 8,275 as compound interest at 10% per annum compounded annually?

If 2 + 4x < 5 - x/2 and 3x + 3 > -5 - 3x; then x can take which of the following values?