NDA 2023 Mathematics question

What is the number of 6-digit numbers that can be formed only by using 0, 1, 2, 3, 4 and 5 (each once); and divisible by 6?

Answer: (D)

Solution

The digit sum is , divisible by 3, so every such number is divisible by 3; it is divisible by 6 if it is also even. Last digit 0: the other five

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Question ID VK-029533