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  • Question
  • What is the respective ratio between the length of a rectangle and side of square?
    I. Area of the square is 576 sq cm and the area of the rectangle is 600 sq cm
    II. Breadth of the rectangle is half the side of the square.


  • Options
  • 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
  • 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
  • C. If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
  • D. If the data in both the Statements I and II are not sufficient to answer the question

  • Correct Answer
  •  

    Explanation

    From Statement I,
    Area of square = 576 sq cm
    ? Side of square = Square root of Square's area
    ? Side of square = Square root of 576 = 24 cm
    and area of rectangle = 600 sq cm
    area of rectangle = ( length x breadth ) of rectangle
    We cannot find the length of rectangle
    From Statement II,
    Breadth of rectangle = side of square x 1/2
    Breadth of rectangle = 24 x 1/2 = 12 cm
    ? Length of rectangle = 600/12 = 50 cm
    ? Ratio = Length of rectangle/ Side of square = 50/24
    = 25/12


  • More questions

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      II. Difference between the compound interest and the simple interest earned on this amount in two years is $400.
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