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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    A farmer divides his herd of n cows among his four sons so that one son gets one-half the herd, the second, one-fourth, the third son, one-fifth and the fourth, 7 cows, then n is

    A)  180                                       

    B)  140  

    C)  240                       

    D)         100

    Correct Answer: B

    Solution :

                    \[\frac{n}{2}+\frac{n}{4}+\frac{n}{5}+7=n\] or            \[n-\frac{n}{2}-\frac{n}{4}-\frac{n}{5}=7\] or            \[\frac{20n-10n-5n-4n}{20}=\frac{7}{1}\] or            \[\frac{n}{20}=\frac{7}{1}\] or            \[n=20\times 7=140\]


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