A Fruit juice seller has 60 litres juice in one container and 45 litres in another. The maximum capacity of container which can measure juice of either container exact number of time is: *
a) 1 litre
b) 5 litre
c) 15 litre
d) 25 litre
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Answer:
The answer is 15 liters
Step-by-step explanation:
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Given,
One container has 60 litres juice and other container has 45 litres juice.
To find,
The maximum capacity of container which can measure juice of either container, in exact number of times.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Here, we have to calculate the HCF (Highest Common Factor) of the given holding capacities of juice containers.
So,
60 = 2×2×3×5
45 = 3×3×5
Common factors = 3,5
HCF = 3×5 = 15
Thus,
Max. capacity of the container = 15 litres
(Container of 15 litres can measure 60 litres of juice in 4 times and 45 litres of juice in 3 times.)
Hence, the maximum capacity of the container will be 15 litres (option c)
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