Number System — CAT Previous-Year Questions

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

In a number system the product of 44 and 11 is 1034. The number 3111 of this system, when converted to the decimal number system, becomes

Convert the number 1982 from base 10 to base 12. The result is