For what value of 'K' is the number 6745K2 divisible by 9?

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RPF Constable 2024 Official Paper (Held On 04 Mar, 2025 Shift 3)
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Answer (Detailed Solution Below)

Option 3 : 3
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Detailed Solution

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Given:

Number = 6745K2

We need to find the value of K such that 6745K2 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 = 6 + 7 + 4 + 5 + K + 2 = 24 + K

We need 24 + K divisible by 9

Try K = 3

⇒ 24 + 3 = 27 (divisible by 9)

∴ The correct answer is option (3): 3

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