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Question

Test the divisibility of each of the following numbers by 3.


A

100002

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B

1693

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C

20345

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D

67035

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Solution

The correct options are
A

100002


D

67035


A number is divisible by 3 only when the sum of its digits is divisible by 3.

100002 : 1 + 0 + 0 + 0 + 0 + 2 = 3, which is divisble by 3.

1693 : 1 + 6 + 9 + 3 =19, is not divisible by 3.

20345 : 2 + 0 + 3 + 4 + 5 = 14, which is not divisible by 3.

67035 : 6 + 7 + 0 + 3 + 5 = 21, which is divisble by 3.

Hence, 100002, 67035 are divisible by 3.


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