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1970 AMC 12 Question 4

AMC12 · 1970 AMC 12

Question 4

Let $S$ be the set of all numbers which are the sum of the squares of three consecutive integers. Then we can say that:
  1. No member of $S$ is divisible by $2$
  2. No member of $S$ is divisible by $3$ but
    some member is divisible by $11$
  3. No member of $S$ is divisible by $3$ or by $5$
  4. No member of $S$ is divisible by $3$ or by $7$
  5. None of these