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SSC Sample Paper SSC CGL - Sample Paper-4

  • question_answer
    After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets?

    A)  328                             

    B)  348

    C)  358                 

    D)  Data inadequate

    Correct Answer: C

    Solution :

    Let the total number of sweets be \[(25x+8).\] Then, \[(25x+8)-22\] is divisible by 28.  is divisible by 28. \[\Rightarrow \]   \[(25x-14)\] is divisible by 28. \[\Rightarrow \]   \[28x-(3x+14)\] is divisible by 28. \[\Rightarrow \]   \[(3x+14)\] is divisible by 28. \[\Rightarrow \]   \[x=14\] \[\therefore \]  Total number of sweets \[=(25\times 14+8)=358\]


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