    Question

# Which of the following numbers are divisible by 6?

A
142
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B
48
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C
160
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D
27
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Solution

## The correct option is B 48"The number is divisible by 6, if it is divisible by 2 and 3" Divisibility by 2: The number is divisible by 2, if its units digit is an even number. Divisibility by 3: The number is divisible by 3, if sum of its digits is divisible by 3 Divisibility test 6 on 48: 48 is divisible by 2, because its unit digit is an even number 48 = 4 + 8 = 12, the sum of the digits of 48 is 12 which is divisible by 3, so the number 48 is divisible by 3 Because 48 is divisible by 2 and 3, the number is divisible by 6 Divisibility test 6 on 160: 160 is divisible by 2, because its unit digit is an even number 160 = 1 + 6 + 0 = 7, the sum of the digits of 160 is 7 which is not divisible by 3, so the number 160 is not divisible by 3 Because 144 is divisible by 2 and 3, the number is divisibe by 6 Divisibility test 6 on 27: 27 is not divisible by 2, because its unit digit is an odd number 27 = 2 + 7 = 9, the sum of the digits of 27 is 9 which is divisible by 3, so the number 27 is divisible by 3 Although 27 is divisible by 3, it is not divisible by 2, so the number is not divisibe by 6 Divisibility test 6 on 142: 142 is divisible by 2, because its unit digit is an even number 142 = 1 + 4 + 2 = 7, the sum of the digits of 142 is 7 which is not divisible by 3, so the number 142 is not divisible by 3 Although 142 is divisible by 2, it is not divisible by 3, so the number is not divisible by 6  Suggest Corrections  1      Similar questions  Related Videos   Divisibility by 6
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