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SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    A, B, C, D and E play a game of cards. A says B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got?

    A)  28

    B)  29

    C)  31                               

    D)  35

    Correct Answer: A

    Solution :

    Clearly, we have \[A=B-3\]                                  ? (i)               \[D+5=E\]                                 ? (ii) \[A+C=2E\]                              ? (iii) \[B+D=A+C=2E\]                    ? (iv) \[A+B+C+D+E=150~\]                       ? (v) From Eqs. (iii), (iv) and (v), we get \[5E=150\] or \[E=30\] Putting \[E=30\] in Eq. (ii), we get \[D=25\] Putting \[E=30\] and \[D=25\] in Eq. (iv), we get \[B=35.\] Putting \[B=35\] in Eq. (i), we get \[A=32.\] Putting \[A=32\] and \[E=30\] in Eq. (iii), we get \[C=28.\]


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