Three different positions of the same dice, which has one to six dots on its six faces, are shown below. When six dots are at the bottom then the number of dots on the top will be:
Solution
From the first position of the dice, 1 is not opposite to 3 and 6
From the second position of the dice, 1 is not opposite to 2 and 4
$$=$$> 1 is opposite to the remaining number 5
From the first position of the dice, 3 is not opposite to 6
From the third position of the dice, 3 is not opposite to 2
$$=$$> 3 is opposite to the remaining number 4
$$=$$> Remaining two numbers 2 and 6 are opposite to each other
$$\therefore\ $$When six dots are at the bottom the number of dots on the top is 2
