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Since every integer power of 6 results in 6 as the unit digit, it sufficient to know that k is an integer. Whereas Statement (2) doesn't tell us anything about what kind of number k is.

Hallo Vicky think that the answer is correct, no matter what K is the units digit will always be 6...think makes sense P.S: In every case you have 6 multiplied by 6 which is ultimately 6( in units place) no matter what the power is

dear freinds.. u have missed one major pioint.
statement 1)
K is a prime number.
Thus whatever be the value of k =2,3,5...
Units digit of (76)^k will always be 6.

Satement 2)
K > 2 . If it was given that k is integer also, then definitely stat. 2 is also suffecient.
what if k = 2.5, 3.5 or any other fraction...!!

Thus 2 is not suffecient.

Hence Ans - A.

ps: Please be cautious in DS questions that involves variables x, y or k.
Check 1: Note down the domain of these variables - positive, negative, or just real numbers.
Check 2: Be sure to check each statement 1 & 2 for all possible values of these variables x, y within the above domain: positive, negative, fractions, underroots, etc...

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...