Suppose that , where is a
positive integer with .
Which of the following statements is true?
, 2023
Pick one
Solution
Since where
is a positive integer with , then and .
Thus, , which eliminates choices (D) and (E).
Since , then is positive and , which eliminates choices (A)
and (C).
Thus, , which tells us that (B) must be correct.
Want a route through all this instead of an archive? The track
puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.