Question
What least value must be given to \(n\) so that the number \(5135n2\) becomes divisible by 9?
This question was previously asked in
RRB NTPC 2025 Under Graduate CBT 1 Question Paper PDF (20-Jun-2026) (Shift 3)
The correct answer is
2
A number is divisible by 9 when the sum of its digits is divisible by 9.
Sum of digits of 5135n2 = 5 + 1 + 3 + 5 + n + 2 = 16 + n.
The next multiple of 9 after 16 is 18, so 16 + n = 18, giving n = 2.
Check: for n = 2, sum = 18, which is divisible by 9.
Hence, the least value of n is 2.
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