Multiple Choice Questions on Six dice are stacked on the floor as shown in the figure below On each dice the sum of numbers on op........... for Study NOtes Preparation

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Multiple Choice Questions

Six dice are stacked on the floor as shown in the figure below On each dice the sum of numbers on op...........

Quantitative Aptitiude (CLAT) Probability
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    Six dice are stacked on the floor as shown in the figure below. On each dice, the sum of numbers on opposite faces is 7, i.e., if 1 is written on one face then 6 is written on the face opposite it and so on. 

    What is the maximum possible sum of numbers on the 21 visible faces?

    88

    Incorrect Answer

    89

    Correct Answer

    96

    Incorrect Answer

    147

    Incorrect Answer
    Explanation:

    Trick is to count # of faces visible in each dice and get max count possible for each combo

    1. 5 faces visible for 1 dice = 20
    2. 4 faces visible for 2 dices = 18*2 (5+6+4+3)
    3. 3 faces visible for 2 dices = 13*2 (6+5+2)
    4. 2 face visible for 1 dice = 7
    Total = 20+36+26+7 = 89

    By: Amit Kumar
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