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Direction: In the following question, two statements are numbered as I and II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.a, b, c, and d are four positive numbers. The average of a, b and c is 7 and the average of b, c, and d is 10. If a is 4 and c is 10.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 = 7 ⇒ 4 + b + 10 = 21 ⇒ b = 21 – 14 = 7 (b + c + d)/3 = 10 ⇒ 7 + 10 + d = 30 ⇒ d = 30 – 17 ⇒ d = 13 Quantity I: (b + d) = 7 + 13 ⇒ 20 Quantity II: (a + c) = 4 + 10 ⇒ 14 ∴ Quantity I ˃ Quantity II |
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