CAT Exam

A two digit number is divided by the sum of its digits. What is the maximum possible remainder?
A)13 B)14 C)15 D)16

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CAT Other Question

If N is a natural number less than 100, then for how many values of N are the numbers 6N+1 and 15N+2 relatively prime? N is a natural number of at least 5 digits and its leftmost digit is 6. When this 6 is removed from N, the number thus obtained is found to be 1/25 times of N. What is the sum of the digits of N?