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Question

Find the smallest number that should be added to 97306 to make it divisible by 6.

This question was previously asked in
RRB Group D 2025 Question Paper (18-Aug-2026) (Shift 1)
The correct answer is

2

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

97306 is already even, so it satisfies divisibility by 2. Its digit sum is 9+7+3+0+6 = 25, which is not divisible by 3.

The next number after 97306 whose digit sum is divisible by 3 (and which stays even) is 97308, whose digit sum is 27. So the smallest number to be added is 97308 − 97306 = 2.

Hence, the correct answer is 2.

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