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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 m┬▓. II. Volume of the board is 96 m┬│.┬а
      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 ┬а2(l x ┬а6 + 6┬аx ┬а2 + 2 x ┬аl) = 152 ┬а(6l + 12 + 2l) = 76 ┬а8l + 12 = 76 ┬а8l = 76 тАУ 12 ┬а8l = 64 ┬а l = 8 m. From II, l x ┬аb x ┬аh = 96 l x ┬а6 x ┬а2 = 96 l x ┬а12 = 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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