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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-5

  • question_answer
    A farmer divides his herd of \[n\] cows among his four sons so that the first son gets one - half the herd, the second son gets one - fourth the third son gets one - fifth and the fourth son gets 7 cows. The value of \[n\] is

    A) \[80\]                            

    B) \[100\]

    C) \[140\]                

    D)        \[180\]

    Correct Answer: C

    Solution :

     According to the quest,,             \[\left( \frac{n}{2}+\frac{n}{4}+\frac{n}{5} \right)+7=n\] \[\Rightarrow \]   \[\left( \frac{10+5n+4n}{20} \right)+7=n\] \[\Rightarrow \]   \[\frac{19n}{20}+7=n\] \[\Rightarrow \]   \[n-\frac{19n}{20}=7\Rightarrow \frac{n}{20}=7\] \[\Rightarrow \]   \[n=20\times 7=140\]


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