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There are $$100$$ cards in a box which are numbered from $$1$$ to $$100$$. While being blindfolded, Mainak is going to draw one or more cards from the box. After that, he will remove his blindfold and multiply together the numbers on these cards. Mainak wants the product of the numbers on the cards drawn to be a multiple of $$6$$. How many cards does he need to draw to make sure that this will happen?
Correct Answer: 68
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