Question : Two numbers, 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. The sum of the digits of such a three-digit number is:
Option 1: 8
Option 2: 9
Option 3: 10
Option 4: 11
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Correct Answer: 11
Solution :
The difference between 11284 and 7655 is 3629
If we divide both numbers by 3629, the remainder will be the same.
Now, the factors of 3629 = 19 x191
We have to take a 3-digit factor. So, 191 is taken and the sum of its digits = 1 + 9 + 1 = 11.
Hence, the correct answer is 11.
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