A number 35786X625 is completely divisible by 9. Find the smallest whole digit number in the place of 'X'.
- A0
- B1
- C2
- D3
Solution & Step-by-step Explanation
According to the divisibility rule of 9, a number is divisible by 9 if the sum of its digits is divisible by 9.
Given number: 35786X625
Sum of the digits:
3+5+7+8+6+X+6+2+5=42+X
For (42+X) to be divisible by 9, the nearest multiple of 9 greater than or equal to 42 is 45.
42+X=45
X=45−42=3
Thus, the smallest whole digit number in place of 'X' is 3.
Given number: 35786X625
Sum of the digits:
3+5+7+8+6+X+6+2+5=42+X
For (42+X) to be divisible by 9, the nearest multiple of 9 greater than or equal to 42 is 45.
42+X=45
X=45−42=3
Thus, the smallest whole digit number in place of 'X' is 3.