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342                                                                                        Cubes and Dices
            Example 3:














                       (a) 17   (b) 18    (c) 19   (d) 20
            Solution: The above figure we can count by columns method:

            Four columns – one cube each
            Three columns - two cubes each

            Two columns - three cubes each
            One Column - Four cubes each
            Below the numbers on the cubes represents the total cubes present on the particular column.

                              4


                          3       3

                       2      2      2

                   1      1      1        1



            Hence, the total number of cubes be = (4 × 1) + (2 × 3) + (3 × 2) + (1 × 4) = 4 + 6 + 6 + 4 = 20
            Option (d).



              1. ConCept AppliCAtor



            1.
                                                                 3.




                     (a) 10                    (b) 11
                     (c) 12                    (d) 13

            2.


                                                                         (a) 84              (b) 64
                                                                         (c) 48              (d) 50


                     (a) 20                    (b) 25
                     (c) 15                    (d) 30
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