Question

# Ananya has 38 sharpners, 152 pencils and 114 erasers. How many maximum number of each one pencil box contains if she wants to pack same number of each in a number of pencil boxes.

A
2 sharpner,
3 pencils,
3 erasers
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B
4 sharpner,
3 pencils,
1 erasers
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C
1 sharpner,
4 pencils,
3 erasers
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D
1 sharpner,
3 pencils,
4 erasers
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Solution

## The correct option is B 1 sharpner, 4 pencils, 3 erasersTo find the highest number of each item one pencil box can contain, we need to find the HCF of the 3 given numbers and pick the corresponding left over factor at the end. 238,152,1141919, 76,57 1, 4, 3 Since there are no common factors for 1, 4 and 3 we cannot factorise it further. The last row indicates the number of each corresponding item in one box. Hence there will be 1 sharpner, 4 pencils and 2 erasers in each pencil box.

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