Question

$47,322$ bulbs are to be packed in several boxes. Each box should contain equal numbers of bulbs and no bulb should be left unpacked. The number of boxes used can be:

A

$12$

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B

$11$

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C

$8$

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D

$14$

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Solution

The correct option is B $11$Explanation for the correct option:Option B: $11$The total number of bulbs $=47,322$In order to find the number of boxes which can be filled with bulbs such that all the boxes contain an equal number of bulbs and no bulb is left unpacked, we will have to find a number that divided the given number of bulbs without leaving any remainder.On dividing $47,322$ by $11$, we can see that no remainder is left.$\frac{47322}{11}=4,302$So, we can use $11$ boxes to pack $47,322$ bulbs.Hence, option B is the correct option.Explanation for the incorrect options:Option A: $12$$\frac{47,322}{12}=3,943.5$$12$ cannot divide $47,322$ without leaving a remainder.Hence, Option A is an incorrect option.Option C: $8$$\frac{47322}{8}=5915.2$$8$ cannot divide $47,322$ without leaving a remainder.Hence, Option C is an incorrect option.Option D: $14$$\frac{47322}{14}=3,380.14$$14$ cannot divide $47,322$ without leaving a remainder.Hence, Option D is an incorrect option.Hence, option (B) is the correct option.

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