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 = ?

From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5m from the banks, then the width of the river is (take √3 = 1.732)

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?

Find the unit place digit in 192102 + 193103

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

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

If 2x - 2(3 + 4x) < -1 - 2x > -5/3 - x/3; then x can take which of the following values?

Find the odd word/letters/number from the given alternatives.