duahsolo
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
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