The arithmetic mean (average) of a set of 5 numbers is an…

The arithmetic mean (average) of a set of 5 numbers is an integer A. Upon being divided by 180, A leaves a remainder of 30. If two of the numbers in the set are decreased by 120 and 180 units respectively, which of the following statements must be true about the new arithmetic mean B of the set? I. The remainder that B leaves upon division by 180 is less than the remainder that A leaves upon division by 180. II. When B is divided by 60, the remainder is 30. III. The value of the decimal digits is greater in the number A/90 than in the number B/90.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #96960