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Question

If one bag can fill 3 kg of sugar, then we need bags to fill 1,868 kg of sugar.

A
645
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B
679
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C
623
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Solution

The correct option is C 623
Total amount of sugar = 1,868 kg
Amount of sugar filled in 1 bag = 3 kg

To determine the number of bags to store sugar, we have to calculate the value of 1,868 ÷ 3 and
find its remainder.

Let us solve this through partial quotient method.

First, we write the values in the long division bracket.


Now, we find an easier multiple of the divisor 3, which is closer to the dividend 1,868.


We subtract the multiple 1800 from the dividend 1868 and write the partial quotients in the right column.


Let's keep repeating the process until the dividend is reduced to zero or the remainder is less than the divisor.


Now, we add all the partial quotients.

∴ Final quotient = 600 + 20 + 2 = 622
Remainder = 2

2 kg of sugar is left out and is not collected in any bag.
Thus, 1 more bag is required.


Hence, the number of bag required is 622 + 1 = 623

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