A friend of mine in Bangalore owns a horse-driven carriage. It was found that the fore wheels of the carriage make four more revolutions than the hind wheel in going 96 feet. However, it was also found that if the circumference of the fore wheel was 3/2 as great and of the hind wheel 4/3 as great, then the fore wheel would make only 2 revolutions more than hind wheel in going the same distance of 96 feet.
Can you find the circumference of each wheel?

We all know that a chess board has 64 squares This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares. Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done, how can we do it? And if it cannot be done, prove it impossible.

My friend Shuba works in a post office and she sells stamps. One day a man walked in and kept seventy five paise on the counter and requested, Please give me some 2 paise stamps, six times as many as one paisa stamps, and for the rest of the amount give me 5 paise stamps.The bewildered Shuba thought for a few moments and finally she handed over the exact requirementof the order to the man with a smile.
How would you have handled the situation?