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.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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