There are 55 kg of bajra and 45 kg of rice in a shop. All the grain is to be packed in bags. If all the bags are to have equal weights of grain, what is the maximum weight of grain that can be filled in each bag?

1kg

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9kg

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11kg

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5kg

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Solution

The correct option is D
5kg

Factors of 55: 1, 5, 11, 55

Factors of 45 :1, 3, 5, 9, 15, 45

So,common factors are : 1,5

Of the common factors, 5 is the greatest,i.e. HCF of numbers 55 and 45 is 5.
The maximum quantity that has to be filled is the HCF of 55 and 45.

Therefore, a maximum of 5 kg of grain can be filled in each bag.

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