Question

A given number when converted in base system2, base system 3, base system 5 gives the leading and last digit 1, what is the number?

Answer 1

answer is -The unit digits of the numbers in base 5 and 6 will be the 1st remainders with 5 and 6. The squares ofnumbers give remainder 0, 1 and 4 with 5, and 0,1, 3 and 4