You are given 3 ropes and a lighter.The time required to burn through rope 1 with a single flame is 20 minutes.Time required to burn through rope 2 with single flame is 30 minutes . Time required to burn rope 3 with a sinlge flame is 60 minutes.The burn rates in differnet sections in the rope are unknown and vary. For how many integers M in the set{5,10,15,20...........100,105,110}is itNOTpossible to measure out exactly M minutes using the 3 ropes and the lighter?
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