Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 45. He was allowed to drop his lowest score. After doing so, his average test score improved to 50. What is the lowest test score that was dropped? Answers:
A) 20
B) 30
C) 55
D) 65
E) 80

Rationale: "the arithmetic mean of 4 equally weighted tests was 45 . so what we can assume is that we have 4 test scores , each 45 . he dropped his lowest score and the avg went to 50 . this means that the lowest score was not 45 and other three scores had given the lowest score 5 each to make it up to 45 too . when the lowest score was removed , the other 3 scores got their 5 back . so the lowest score was 3 * 5 = 15 less than 45 . so the lowest score = 45 - 15 = 30 answer ( b )"
Answer: B