Jim is a contestant on a TV show called Indim. The compere spins a wheel that is divided into nine sectors numbered 1 to 9. When the wheel stops, he removes all tiles whose numbers are factors or multiples of the spun number. (e. g. If "3" is spun then Jim needs to remove 1, 3, 6 and 9)
Jim then tries to use three of the remaining tiles to form a 3-digit number that is divisible by the number on the wheel. If he can make such a number, he shouts "Indim" and wins a prize.
a) show that if 1,2 or 5 is spun, then it is possible for Jim to win.
b) How many winning numbers can Jim make if 4 is spun?
c) List all the winning numbers if 6 is spun.
d) What is the largest possible winning number overall?
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