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SSC Sample Paper SSC CGL - Sample Paper-15

  • question_answer
    A, B, C, D and E play a game of cards. A says to 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 = 32and E = 30 in Eq. (iii) we get: C = 28         


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