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SEAMO 2027 - Paper E - SET 01 - Self-study Question 14

SEAMO · SEAMO 2027 - Paper E - SET 01 - Self-study

Question 14

Let $S=[\sqrt1]+[\sqrt2]+\cdots+[\sqrt{1998}]$. Find $[\sqrt S]$. Here $[t]$ denotes the greatest integer less than or equal to $t$, as defined in the source lesson.

Use the stated floor function and include every term through 1998. The source answer key is inconsistent.
  1. $44$
  2. $45$
  3. $240$
  4. $241$
  5. None of the above