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D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred's place and the digit at the unit's place of D ?
0
7
8
9
- We are looking for a 3-digit number, D, such that the ratio of the number to the sum of its digits is the least possible.
- A smaller ratio indicates a higher sum of its digits in relation to the number.
- For the least ratio, consider numbers like 199 because they have large sums of digits inducing smaller ratios.
- In the number 199, the digits are 1, 9, and 9.
- The sum of the digits is 1 + 9 + 9 = 19.
- The ratio is 199 / 19.
- The hundred's place digit is 1, and the unit's place digit is 9.
- The difference is 1 - 9 = -8, hence a positive difference is 8.
- The correct option is 8.
Option:3, 8 is the correct answer.
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By: sunny bhonsle ProfileResourcesReport error
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