duahsolo wrote:

The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2

(2) m has 2 factors

St I

The units digit of m is the same as the units digit of m^2

Numbers with 5 or 6 as unit digit follow the above statement. ----------Insufficient

St II

m has 2 factors => m is prime number and m >1 so m can be 2,3,5... ------------Insufficient

Combining St I and II, we have Only 5 that satisfies both the conditions where 5 is prime and 5>1 and units digit of 5 and \(5^2\) is same i.e. 5

Hence Option C is correct

PS : # The correct option will be C only if m is a single digit number (Note : The digit m is greater than 1)

# But if m is not a single digit number then the Option will be E as m can also be 11, where 11 > 1 and

units digit of 11 and \(11^2\)=121 is same i.e. 1 and 11 is prime

Hit Kudos if you liked it