Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.
If two of them wear the same colour, then how many of the following must be false?
If the sum of two numbers is 15 and their product is 56, what is the sum of their reciprocals?
The roots of the quadratic equation $x^2 - 6x + k = 0$ are real and distinct. How many integer values of $k$ are possible if $k$ is positive?