Which of the following is a condition of divisibility of a number by six?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 21 Jun, 2024 Shift 4)
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  1. Sum of digits is divisible by 6
  2. Last digit is 3 or 6
  3. Sum of digits is divisible by 3 and last digit is even
  4. Sum of digits is divisible by 3 and first digit is even

Answer (Detailed Solution Below)

Option 3 : Sum of digits is divisible by 3 and last digit is even
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Detailed Solution

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Given:

We need to determine the condition of divisibility of a number by six.

Formula Used:

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

Calculation:

⇒ To be divisible by 2, the last digit must be even.

⇒ To be divisible by 3, the sum of the digits must be divisible by 3.

⇒ Combining these two conditions, the sum of digits must be divisible by 3 and the last digit must be even.

The correct answer is option 3.

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