If the 7-digit number 689K348 is divisible by 9, then find the value of K.
If the 7-digit number 689K348 is divisible by 9, then find the value of K.
यदि 7 अंकों की संख्या 689K348, 9 से विभाज्य है, तो K का मान ज्ञात करें।
Detailed Solution & Logic
Correct Answer:
7
For divisibility by 9, the sum of digits must be divisible by 9.
Digits of $689K348$ are:
$6+8+9+K+3+4+8$
$=38+K$
Now, $38+K$ should be divisible by 9.
Nearest multiple of 9 after 38 is $45$
So,
$38+K=45$
$K=45-38=7$
$\therefore$ Correct Answer: 7
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