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Mathematics

Which of the following number(s) are divisible by 6 :

  1. 2292

  2. 2612

  3. 5940

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Answer

According to the divisibility of 6, if the number is divisible by 2 and 3 both then the number is divisible by 6.

1. 2292

Last digit is 2, hence 2292 is divisible by 2

2 + 2 + 9 + 2 = 15, 15 is divisible by 3. So, 2292 is divisible by 3

Hence, 2292 is divisible by 6.

2. 2612

Last digit is 2, hence 2612 is divisible by 2

2 + 6 + 1 + 2 = 11, 11 is not divisible by 3. So, 2612 is not divisible by 3

Hence, 2612 is not divisible by 6.

3. 5940

Last digit is 0, hence 5940 is divisible by 2

5 + 9 + 4 + 0 = 18, 18 is divisible by 3. So, 5940 is divisible by 3

Hence, 5940 is divisible by 6.

Hence, option 1 and 3 are the correct option.

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