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What is the value of k when the 8-digit number 4345k423 is divisible by 9?

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RPF Constable 2024 Official Paper (Held On 06 Mar, 2025 Shift 3)
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Answer (Detailed Solution Below)

Option 1 : 2
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Detailed Solution

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Given:

8-digit number = 4345k423

Number is divisible by 9

Formula used:

A number is divisible by 9 if the sum of its digits is divisible by 9

Calculation:

Sum of digits = 4 + 3 + 4 + 5 + k + 4 + 2 + 3

⇒ Sum = 25 + k

25 + k ≡ 0 (mod 9)

Find value of k such that (25 + k) is divisible by 9

Try values:

k = 2 → 25 + 2 = 27 

∴ The correct value of k is 2

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