Question

    The average number of books on history, polity and

    geography in a library is 144, and the average number of books on history and geography is 140. If the number books on geography is 25% less than the number of books on polity, then what is the number of books on history in the library?
    A 162 Correct Answer Incorrect Answer
    B 156 Correct Answer Incorrect Answer
    C 166 Correct Answer Incorrect Answer
    D 161 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of books on History, Polity and Geography be x, y and z respectively. Given, (x + y + z)/3 = 144 Or, x + y + z = 432 ….. (1) And, (x + z)/2 = 140 Or, x + z = 280 ….. (2) From equation 1 and 2 Number of books on polity = y = 152 Number of books on geography = 0.75 × 152 = 114 Therefore, number of books on history = 432 – (152 + 114) = 166

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