CAT Quantitative Ability Questions | CAT Number System questions

CAT/2003

Question . 106

A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals

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