Answer:
(C) 4
Step-by-step explanation:
I am going to solve this by trial and error:
(A) 1
Is: [tex](11)^{3} = 85181[/tex]?
[tex](11)^3 = 1331[/tex]
So 1 is not the digit of N.
(B) 2
Is: [tex](22)^{3} = 85182[/tex]?
[tex]22^3 = 10648[/tex]
So 2 is not the digit of N.
(C) 4
Is: [tex](44)^{3} = 85184[/tex]?
[tex]44^3 = 85184[/tex]
Correct, so the answer is c.
(D) 5
[tex]55^3 = 166375 \neq 85185[/tex]
(E) 6
[tex]66^3 = 287496 \neq 85186[/tex]
