Quantitative Aptitude - Arithmetic Ability Questions

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?

If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?

How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)

If 4x2 - 12x + k is a perfect square, then the value of k is

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is:

The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Y­axis to (4,­3). The co­-ordinates of point P are