CAT Exam

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?

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CAT Other Question

How many integers between 1 and 1000 have exactly 27 positive divisors
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