Dear Kishan, Please consult https://sites.math.rutgers.edu/~zeilberg/Hist21/mt2S.pdf for the full solutions. You got 107 points (out of 120) Here is what you got wrong: #1: -1 points ( the picture for the 2nd proof is not correct) #2: -10 points #12(a): -2 points (visiting every EDGE exactly once, not every vertex) Best wishes, Dr. Z.