Question : If the number 583_437 is completely divisible by 9, then the smallest whole number in place of the blank space will be:
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 6
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Correct Answer: 6
Solution :
Let the missing number be x
The sum of the digits = (5 + 8 + 3 + x + 4 + 3 + 7) = (30 + x)
The sum of digits is between 30 to 39.
The only number divisible by 9 that lies between 30 and 39 is 36.
So, 30 + x = 36
or, x = 6
Hence, the correct answer is 6.
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