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Math Help - Yellow & Red Cards

  1. #1
    Member u2_wa's Avatar
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    Arrow Yellow & Red Cards

    There are 100 cards, and they are numbered from 1-100 on both sides. One face of a card is of red color & the other face is yellow. John spreads all the cards in sequence i.e from card numbered 1 to 100 with all cards facing red.
    He flip all the card that are divisible by 2 and than again divisible by 3. How many red cards will he be left with?
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  2. #2
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    Quote Originally Posted by u2_wa View Post
    There are 100 cards, and they are numbered from 1-100 on both sides. One face of a card is of red color & the other face is yellow. John spreads all the cards in sequence i.e from card numbered 1 to 100 with all cards facing red.
    He flip all the card that are divisible by 2 and than again divisible by 3. How many red cards will he be left with?
    Let a be the number of cards between 1 and 100 inclusive that are divisible by 2.

    Let b be the number of cards between 1 and 100 inclusive that are divisible by 3.

    Let c be the number of cards between 1 and 100 inclusive that are divisible by 6.

    Then the answer is 100 - (a + b - c).
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