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    Question

    What is the length of a wooden board of width 6 metres and thickness one-third of the width?

    I. Surface area of the board is 152 m².

    II. Volume of the board is 96 m³. 

    A If the question can be answered with the help of both the statements but not with the help of either statement itself Correct Answer Incorrect Answer
    B If the question cannot be answered even with the help of both the statements. Correct Answer Incorrect Answer
    C If the question can be answered with the help of statement II alone. Correct Answer Incorrect Answer
    D If the question can be answered with the help of statement I alone. Correct Answer Incorrect Answer
    E If the question can be answered with the help of either statement alone. Correct Answer Incorrect Answer

    Solution

    Width = 6 m and thickness(height) = 2 m.(given) From I, 2(lb + bh +hl) = 152  2(l x  6 + 6 x  2 + 2 x  l) = 152  (6l + 12 + 2l) = 76  8l + 12 = 76  8l = 76 – 12  8l = 64   l = 8 m. From II, l x  b x  h = 96 l x  6 x  2 = 96 l x  12 = 96 l = 8 m. Length of the board can be found out by any of the two statements. Therefore, the question can be answered with the help of either statement alone.

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