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AMC10 2027 - Self-practice Set 6 Question 23

AMC10 · AMC10 2027 - Self-practice Set 6

Question 23

How many positive integers $n$ satisfy
$$\frac{n+1000}{70}=\left\lfloor\sqrt n\right\rfloor?$$
Here $\lfloor x\rfloor$ is the greatest integer not exceeding $x$.
  1. $2$
  2. $4$
  3. $6$
  4. $30$
  5. $32$