- Let be positive integers such that for all i, where k is a constant. I , find the value of .
- If and for , then find out if , are even or odd.
- Two trains of equal length L, travelling at speeds and miles per hour in opposite directions, take T seconds to cross each other. Then, find L in feet (1 mile 1280 feet).
- A salesman sold two pipes at Rs. 12 each. His profit on one was 20% and the loss on the other was 20%. Then, on the whole, what amount did he gain or lose or did he break even?
- What is the digit in the units position of the integer ?
- Find the value of the following expression:

where .

Good luck for the ensuing oct pre RMO ðŸ™‚

Nalin Pithwa