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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-46

  • question_answer
    Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. [IDBI (SO) 2012]
    What is the respective ratio between the length of a rectangle and side of a 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.

    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

    E) If the data in both the statements I and II together are necessary to answer the question

    Correct Answer: E

    Solution :

    From statement I,
    Area of square = 576 sq cm
    \[\therefore \]Side of square = 24 cm and area of rectangle
    = 600 sq cm
    \[\Rightarrow \]               \[l\times b=600\]
    We cannot find the length of rectangle.
    From statement II,
    Breadth of rectangle \[=\frac{1}{2}\times \]Side of square
    \[=\frac{1}{2}\times 24=12\,\,cm\]
    \[\therefore \]Length of rectangle \[=\frac{600}{12}=50\,\,cm\]
    \[\therefore \] \[\text{Ratio}=\frac{\text{Length}\,\,\text{of}\,\,\text{rectangle}}{\text{Side}\,\,\text{of}\,\,\text{square}}=\frac{50}{24}=\frac{25}{12}\]


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