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    Question

    What is the length of a wooden board of width 6 metres

    and thickness one-third of the width? Statement I: Surface area of the board is 152 mĀ². Statement II: Volume of the board is 96 mĀ³.Ā 
    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 Ā 2(l x Ā 6 + 6Ā x Ā 2 + 2 x Ā l) = 152 Ā (6l + 12 + 2l) = 76 Ā 8l + 12 = 76 Ā 8l = 76 ā€“ 12 Ā 8l = 64 Ā  l = 8 m. From II, l x Ā b x Ā h = 96 l x Ā 6 x Ā 2 = 96 l x Ā 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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