Free ACT Practice Questions

Question 1 of 1
ID: ACT-M-3
Section: Math
Topics: Numbers; Remainders
Difficulty level: Hard

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If the positive integer $N$ leaves a remainder of 1 when divided by 6, which of the following statements would be true?

  1. $N^2$ if divided by 12 leaves a remainder 1
  2. $N^2-1$ is divisible by 3
  3. $N^2+2$ is divisible by 3
AOnly I
BOnly II
COnly III
DOnly II and III
EI, II and III