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Cubes and Dices                                                                                    345
            Example 2: Three different positions of the same dice are given below. Find the number on the face opposite the face
            showing 4?


                                             5                  3                  4


                                          3     1            4     5            3     2



                                            (i)                (ii)              (iii)
            Solution: Clearly from the figures we find 3 in all the cubes.

            From the First Figure we find the adjacent number of three be 5 and 1.
              From second we find the adjacent number of three be 4 and 5.

              From third we get 4 and 2 as adjacent numbers, hence we find 1,2,4 and 5 hence 6 is opposite of 3.
            Now from figure (ii) and (iii) we get 2, 3, 5 and 6 (from above, as 6 six is opposite to 3 but adjacent to 4) are adjacent
            to 4. Hence 1 is opposite to number 4.

            Example 3: How many dots are there on the dice face opposite the one with three dots?












                                  (i)               (ii)               (iii)              (iv)
                                 (a) 2              (b) 4              (c) 5              (d) 6
            Solution: From figure (I), (II) and (IV) we can able to observe a common dice face that is 3 dots.

            From figure (I), (II) and (IV) we get that 1, 2,4 and 6 are adjacent to 3 dots. Hence, 5 dots on the face opposite the face
            with 3 dots. Option (c) is our answer.




              3. ConCept AppliCAtor



            1.   Two Position of a dice are shown below:











                          (i)                (ii)
                When six is at the bottom, what number will be at the top?

                (a) 1    (b) 2    (c) 4    (d) 5
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