A positive whole number M less than 100 is represented in base 2 notation base 3 notation and base 5...........

Quantitative Aptitude ( CCS) Number System

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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Explanation:

31 = 5^2+5+1 ; 3^3+3+1; 2^4+2^3+2^2+2+1

63 =2^5+ 2^4+2^3+2^2+2+1; 2*3^3+3^2; 2*5^2+2*5+3

75 = 3*5^2

91 = 2^6+2^4+2^3+2+1 ; 3^4+2^2+1; 3*5^2+3*5+1

As some of you can see, 91 satisfies all the conditions

Hence, option 4 is the correct answer.