5th Canadian Mathematical Olympiad Problems 1973

5th Canadian Mathematical Olympiad Problems 19731.  (1) For what x do we have x < 0 and x < 1/(4x) ? (2) What is the greatest integer n such that 4n + 13 < 0 and n(n+3) > 16? (3) Give an example of a rational number between 11/24 and 6/13. (4) Express 100000 as a product of two integers which are not divisible by 10. (5) Find 1/log236 + 1/log336.