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A bartender has three kinds of drinks of quantities of 204, 238 and 306 litres. The tender wants to pour them into minimum number of containers of equal capacity without mixing. Find the capacity of each container.1. 55 litres2. 64 litres3. 34 litres4. 44 litres |
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Answer» Correct Answer - Option 3 : 34 litres Given: The quantities of 3 kinds of drinks = 204 litres, 238 litres, and 306 litres. Concept: H.C.F. of two or more factors is the greatest factor that divides each of them exactly. Calculation: Factors of 204 = 2² × 3 × 17 Factors of 238 = 2 × 7 × 17 Factors of 306 = 3² × 2 × 17 H.C.F. of 204, 238 and 306 = 17 × 2 = 34 The capacity of each container = 34 litres ∴ The capacity of each container is 34 litres. |
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