SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    In three coloured boxes\[-\]red, green, and blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box

    A)  18                               

    B)  36

    C)  45                               

    D)  None of these

    Correct Answer: D

    Solution :

    Let R, G and B represent the number of balls in red, green and blue boxes respectively. Then, \[R+G+B=108\]                        ? (i)   \[G+R=2B\]                              ? (ii) \[B=2R\]                                               ? (iii)                 From Eqs, (ii) and (iii), we have \[G+R=2\times 2R=4R\]or \[G=3R\] Putting \[G=3R\]and \[B=2R\] in Eq. (i), we get \[R+3R+2R=108\] Or,        \[6R=108\]   \[\therefore \,R=18\] So, the number of balls in the green box \[=G=3G=(3\times 18)=54.\]

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