SSC Sample Paper SSC CGL - Sample Paper-10

  • question_answer
    At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party?

    A)  60       

    B)  65

    C)  90                               

    D)  None of these

    Correct Answer: A

    Solution :

    Let the number of guests be x. Then, number of bowls of rice \[=\frac{x}{2},\] number of bowls of dal \[=\frac{x}{3},\] number of bowls of meat \[=\frac{x}{4}.\] \[\therefore \] \[\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=65\] \[\Leftrightarrow \] \[\frac{6x+4x+3x}{12}=65\] \[\Leftrightarrow \] \[13x=65\times 12\] \[\Leftrightarrow \]           \[x=\left( \frac{65\times 12}{13} \right)=60.\]      

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