CAT Quantitative Ability Questions | CAT Number System questions

CAT/1998

Question . 143

A is the set of positive integers such that when divided by 2,3,4,5 and 6 leaves the remainders 1,2,3,4 and 5 respectively. How many integer(s) between 0 and 100 belongs to set A?

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Method of solving this CAT Quantitative Ability Question from Number System question