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Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.?
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Three tankers contain 385l 415l and 505l of petrol respectively. Find ...
**Problem Statement**
Three tankers contain 385 L, 415 L, and 505 L of petrol, respectively. We need to find the minimum capacity of a container that can measure the petrol of the three tankers an exact number of times.
**Approach**
To find the minimum capacity of a container that can measure the petrol of the three tankers an exact number of times, we need to find the common factors of the three capacities and then determine the minimum among them.
**Step-by-Step Solution**
1. Find the factors of each tanker's capacity.
- The factors of 385 L are: 1, 5, 7, 11, 35, 55, 77, 385.
- The factors of 415 L are: 1, 5, 83, 415.
- The factors of 505 L are: 1, 5, 101, 505.
2. Identify the common factors among the three capacities.
The common factors of 385 L, 415 L, and 505 L are: 1 and 5.
3. Determine the minimum common factor.
The minimum common factor among 1 and 5 is 1.
4. Calculate the minimum capacity of the container.
The minimum capacity of the container that can measure the petrol of the three tankers an exact number of times is the product of the minimum common factor and the sum of the capacities of the three tankers.
Minimum capacity of the container = 1 * (385 + 415 + 505) = 1305 L.
Therefore, the minimum capacity of the container that can measure the petrol of the three tankers an exact number of times is 1305 L.
Three tankers contain 385 L, 415 L, and 505 L of petrol, respectively. We need to find the minimum capacity of a container that can measure the petrol of the three tankers an exact number of times.
**Approach**
To find the minimum capacity of a container that can measure the petrol of the three tankers an exact number of times, we need to find the common factors of the three capacities and then determine the minimum among them.
**Step-by-Step Solution**
1. Find the factors of each tanker's capacity.
- The factors of 385 L are: 1, 5, 7, 11, 35, 55, 77, 385.
- The factors of 415 L are: 1, 5, 83, 415.
- The factors of 505 L are: 1, 5, 101, 505.
2. Identify the common factors among the three capacities.
The common factors of 385 L, 415 L, and 505 L are: 1 and 5.
3. Determine the minimum common factor.
The minimum common factor among 1 and 5 is 1.
4. Calculate the minimum capacity of the container.
The minimum capacity of the container that can measure the petrol of the three tankers an exact number of times is the product of the minimum common factor and the sum of the capacities of the three tankers.
Minimum capacity of the container = 1 * (385 + 415 + 505) = 1305 L.
Therefore, the minimum capacity of the container that can measure the petrol of the three tankers an exact number of times is 1305 L.
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Three tankers contain 385l 415l and 505l of petrol respectively. Find ...
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Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.?
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Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.?.
Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three tankers contain 385l 415l and 505l of petrol respectively. Find the minimum capacity of a container that can measure the petrol of the three tankers exact number of times.?.
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