Question : What is the least value that must be assigned to * so that the number 451*603 is exactly divisible by 9?
Option 1: 7
Option 2: 8
Option 3: 5
Option 4: 9
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Correct Answer: 8
Solution :
If the sum of the digits of the number is divisible by 9, then the number is divisible by 9.
Given: The number 451*603 is divisible by 9.
Let the unknown value be $x$.
Therefore, Sum of the digits = $\frac{(4 + 5 + 1 + x + 6 + 0 + 3)}{9} = \frac{(19 + x)}{9}$
If $x = 8$, Then,
$⇒ \frac{(19 + 8)}{9} = \frac{(27)}{9}$
Here, 27 is divisible by 9.
Hence, the correct answer is 8.
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