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712 is a 11-digit number which contains one 0’s, three 1’s, two 2’s, one 3’s, one 4’s, one 7’s and two more digits which are the same. What are the missing same digits?
Correct answer is '8'. Can you explain this answer?
Most Upvoted Answer
712 is a 11-digit number which contains one 0’s, three 1’s, two 2’s, ...
Given Information:
- The number is 11 digits long.
- It contains one 0, three 1's, two 2's, one 3, one 4, one 7, and two more digits that are the same.

Step 1: Count the given digits
- 0: 1
- 1: 3
- 2: 2
- 3: 1
- 4: 1
- 7: 1

Step 2: Count the remaining digits
We have a total of 11 digits, and we have already accounted for 10 digits (1+3+2+1+1+1). So, there is 1 digit remaining.

Step 3: Determine the missing digit
Since we have two more digits that are the same, and we only have 1 digit remaining, the missing digit must be the same as the other two digits. Therefore, the missing digit is 8.

Explanation:
The given number is 712. We are told that it contains one 0, three 1's, two 2's, one 3, one 4, one 7, and two more digits that are the same. By counting the given digits, we can see that all the digits except one are accounted for. Since we have 11 digits in total and have already accounted for 10, there is 1 digit remaining.

Since we are told that the two missing digits are the same, the missing digit must be the same as the other two digits. Therefore, the missing digit is 8.
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Community Answer
712 is a 11-digit number which contains one 0’s, three 1’s, two 2’s, ...
712 = 1 mod 9, i.e when 712 is divided by 9, remainder will be 1
Sum of the digits = 21
Since 712 = 1 mod 9, sum of the digits should be (1 + multiple of 9)
Missing digit can be 6, 8 or 9 as other digits have already been taken into consideration
Considering 6 as a missing digit, sum of digits = 21 + 2 X 6 = 33, which is 6 more than 27(multiple of 9). Hence, 6 cannot be a missing digit
Considering 8 as a missing digit, sum of digits = 21 + 2 X 8 = 37, which is 1 more than 36(multiple of 9). Hence, 8 is the missing digit
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