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Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.a, b, c, and d are four positive numbers. The average of a, b and c is 15, and the average of b, c, and d is 12. If a is 13 and c is 18.Quantity I: Find the sum of b and d.Quantity II: Find the sum of a and c.1. Quantity I = Quantity II2. Quantity I ≥ Quantity II3. Quantity I ≤ Quantity II4. Quantity I ˃ Quantity II5. Quantity I ˂ Quantity II |
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Answer» Correct Answer - Option 5 : Quantity I ˂ Quantity II (a + b + c)/3 = 15 ⇒ 13 + b + 18 = 45 ⇒ b = 45 - 31 = 14 (b + c + d)/3 = 12 ⇒ 14 + 18 + d = 36 ⇒ d = 36 - 32 ⇒ d = 4 Quantity I: (b + d) = 14 + 4 ⇒ 18 Quantity II: (a + c) = 13 + 18 ⇒ 31 ∴ Quantity I ˂ Quantity II. |
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