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      Question

      If the length of the room is 10 m, then what is the

      height of the room? I. The cost of painting the walls of the room at the rate of Rs. 25 per sq metre is Rs. 6,400. II. The cost of carpeting the floor at the rate of Rs. 140 per sq metre is Rs. 8,400. In each of the following questions, a question and some statements are given. You have to decide whether the data given in the statements are sufficient to answer the question or not.
      A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      C If the data in both statement I and II together are required to answer the question. Correct Answer Incorrect Answer
      D If the data either in statement I alone or in statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
      E If the data even in both the statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      Let breadth and height of the room be b and h respectively. From I, Area of the four walls of the room = 2(10 + b)h = 6400/25 ⇒ 2(10 + b)h = 256 ⇒ (10 + b)h = 128 m……… (i) From II, 10 × b = 8400/140 ⇒ b = 8400/(140 ×10) = 6 m………(ii) By putting the value of b in equation (i), we get (10 + 6)h = 128 m ⇒ h = 128/16 = 8m. Therefore, both statement I and statement II together is required to answer the question.

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