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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.

4732211=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

47,32212=3,943.5

12 cannot divide 47,322 without leaving a remainder.

Hence, Option A is an incorrect option.

Option C: 8

473228=5915.2

8 cannot divide 47,322 without leaving a remainder.

Hence, Option C is an incorrect option.

Option D: 14

4732214=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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