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    Question

    Quantity-I: The perimeter of a square is 64 cm. Find the

    side of the square. Quantity-II: The area of a rectangle is 150 cm², and its length is 25 cm. Find the width of the rectangle. Quantity-III: The circumference of a circle is 44 cm. Find the radius of the circle. Which of the following pair of symbols will define the relation between Quantity I and Quantity II and between Quantity II and Quantity III respectively? A. = B. >                              C.
    A ‘A’ & D Correct Answer Incorrect Answer
    B ‘B’ & ‘C’ Correct Answer Incorrect Answer
    C ‘C’ & ‘A’ Correct Answer Incorrect Answer
    D ‘D’ & ‘C’ Correct Answer Incorrect Answer
    E ‘F’ & ‘B’ Correct Answer Incorrect Answer

    Solution

    Solution: Quantity I: Perimeter of square = 4 × side 64 = 4 × side Side = 64 / 4 = 16 cm Quantity II: Area of rectangle = Length × Width 150 = 25 × Width Width = 150 / 25 = 6 cm Quantity III: Circumference of circle = 2πr 44 = 2 × 3.14 × r r = 44 / (2 × 3.14) = 7 cm Comparing Quantity-I, Quantity-II, and Quantity-III: Quantity-I = 16 cm Quantity-II = 6 cm Quantity-III = 7 cm Now, comparing: Quantity-I (16 cm) > Quantity-II (6 cm) Quantity-II (6 cm) < Quantity-III (7 cm) Therefore, the correct pair of symbols is: B & C Correct answer: b

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