Multiple Choice Questions on A farmer divides his herd of n cows among his four sons so that the first son gets one hal........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A farmer divides his herd of n cows among his four sons so that the first son gets one hal...........

Quantitative Aptitude ( CCS) Number System
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    A farmer divides his herd of n cows among his four sons, so that the first son gets one-half that 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

    80

    Incorrect Answer

    100

    Incorrect Answer

    140

    Correct Answer

    180

    Incorrect Answer
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    Explanation:

    First son’s cows =n/2
    Second son cows =n/4

    Third son’s cows =n/5
    According to the question, 
    (n/2+n/4+n/5)+7=n
    ⇒((10n+5n+4n)/20)+7=n
    ⇒19n/20+7=n
    ⇒n-19n/20=7⇒n/20=7
    ⇒ n = 20 × 7 = 140 
    ∴ Total number of cows = 140 

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