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Question

Select the numbers that are divisible by 6


A

1056

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B

55053

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C

35790

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D

98765

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Solution

The correct option is A

1056


A number is divisible by 6 if it is divisible by both 2 and 3

A number is divisible by 2 , if the number ends with 0, 2, 4, 6,8

A number is divisible by 3, if the sum of the digits is divisible by 3

1056 has a units digit of 6.Hence it is divisible by 2 and Sum of digits = 1 + 0 + 5 + 6 = 12 , hence 1056 is divisible by 6

Since 1056 is divisible by both 2 and 3, it is divisible by 6

55053 has a units digit of 3, hence it is not divisible by 2 it will not be divisible by 6

35792 has the sum of the digits as 3 + 5 + 7 +9 + 2 = 26 which is not divisible by 3, Hence the number is not divisible by 6

98765 has a units digit of 5 ,hence it is not divisible by 2 and sum of the digits is 35 which is not divisible by 3, Hence the number is not divisible by 6


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