New Click here to Enroll for SIDBI MSME Expert Classes by Experts

    Register

    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.

    Practice Next

    Relevant for Exams: