Hi again,

I got 4 various answers, of which one I was told by my professor has to be used to complete the problem (x = 10 (mod 12)).

Question:

Solve this system of congruence equations:

x congruent to 1 (mod 3)

x congruent to 2 (mod 4)

x congruent to 5 (mod 11).

I set the first two equations equal to each other and got x = 10 (mod 12). My professor told me to use the transitive property and use this answer with x congruent to 5 (mod 11) to find out the final solution.

Which do you believe is the correct answer? (Please comment if you believe the correct answer is not present).

Options for answers:

x = 10 (mod 12)

x = 16 (mod 33)

x = 38 (mod 44)

x = 82 (mod 132)