Question
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
Quantity I: Let the smaller number be x. Larger number = 2x x + 2x = 50 3x = 50 x = 50 / 3 ≈ 16.67 Larger number = 2 × 16.67 ≈ 33.33 Quantity II: Let the smaller number be y. Larger number = y + 10 y + (y + 10) = 60 2y + 10 = 60 2y = 50 y = 25 Larger number = 25 + 10 = 35 Quantity III: Let the smaller number be z. Larger number = 3z + 5 z + (3z + 5) = 80 4z + 5 = 80 4z = 75 z = 75 / 4 = 18.75 Larger number = 3 × 18.75 + 5 = 56.25 Comparing Quantity-I, Quantity-II, and Quantity-III: Quantity-I ≈ 16.67 & 33.33 Quantity-II = 25 & 35 Quantity-III = 18.75 & 56.25 Now, comparing: relation cannot be established Therefore, the correct pair of symbols is: F & F Correct option: e
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