This problem makes no sense to me. I don't even think the answer choices are correct. Hmm...maybe this source I'm using is not very reliable?!
If n is an integer and then which of the following could be the value of k?
note that 7*11 = 77 and rewrite the problem by crossing out the 77's on the numerator and demoninator:
n = (2*3*5*13)/k
i also noticed that from the answer choices b) 26 is also shown in the numerator as 2*13...
if k = 26 then 2*13 can be crossed out leaving you with 3*5 or in other words an integer.
no work was necessary in terms of dividing out the choices to see if n was an integer.
Answer is B