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Question

The number 28221 is divisible by which of the following:


A
2
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B
3
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C
6
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D
9
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Solution

The correct option is B 3

For a number to be divisible by 2, the last digit has to be an even number.
Here, in 28221 since the last digit is 1, it is not divisible by 2.

For a number to be divisible by 9, the sum of its digits should be divisible by 9.
2+8+2+2+1 = 15.
Since 15 is not divisible by 9, 28221 is also not divisible by 9.


For a number to be divisible by 6, it has to be divisible by 3 and 2. Since 28221 is not divisible by 2, 28221 is also not divisible by 6.

For a number to be divisible by 3, the sum of its digits should be divisible by 3.
2+8+2+2+1 = 15, since 15 is divisible by 3, 28221 is also divisible by 3.


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