Maths Olympiad Exam

Q. Determine how many positive integers less than 400 can be created using only the digits 1,2 or 3 with repetition of digits allowed

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Maths Olympiad Other Question

Q. In a bag there are 13 red, 5 blue, 1 white and 9 green balls. Without looking into the bag determine the least No of balls that can be drawn such that three of them are of same colour Q. Begin with any two-digit positive integers and multiply the two digit together. If the result product in a two-digit number, then repeat the process. When this process is repeated, all two digit numbers will eventually become a single digit number. Once a product results in a single digit, the process stops.

a) Beginning with number 68, determine the no. of steps required for the process to stop
b)Determine all two digit numbers for which the process stops at 8 after 2 steps.
c) Determine all two digit no. for which the process stops at 4
d) Determine a two digit number for which the process stops after 4 steps