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    Question

    A farmer divides his herd of n cows among his four sons

    so that the first son gets one тАУ third the herd, the second son gets one тАУ fifth, the third son gets one тАУ sixth and the fourth son gets 42 cows. The value of n is
    A 100 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 140 Correct Answer Incorrect Answer
    D 130 Correct Answer Incorrect Answer

    Solution

    According to the question,┬а (n/3) + (n/5) + (n/6) + 42 = n (10n + 6n + 5n)/30 + 42 = n 21n/30 + 42 = n 42 = n тАУ (21n/30) 42 = 9n/30 n = (30 x 42)/9 = 140

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