JEE Advanced 2023 Paper 1 Mathematics Q10

Mathematics

Problem

Let 75⋯57 denote the (r+2)-digit number whose first and last digits are 7 and whose remaining r digits are 5. Consider S=77+757+7557+⋯+7[98 digits 5]57. If S=(7[99 digits 5]57+m)/n, where m and n are natural numbers less than 3000, then m+n is

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