Question
Tiles are packed into packets of 6, 9 and 50. What is the largest number of tiles that cannot be purchased with any combination of above packets. Tiles cannot be sold loose.
Answer: Option C
:
C
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C
After 6 all multiples of 3 would be covered. After 50+6 all 3x+2 tiles would be covered. After 50+50+6 all 3x+1 tiles would be covered. So for 106 and above all tile combinations are possible. 105 again is possible (it is a multiple of 3), 104 is also possible as it is of the form 3x+2. The largest possible value is 103 which can't be obtained.
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