The sum of all the integers k such that –20 < k < 24 is
Choose the correct choice from the following choices:  A) 0  B) - 2  C) - 25  D) - 49  E) - 37

Rationale: "- 19 - - - - - - - - - - - - - - - - - - 0 - - - - - - - - - - - - - - - - - 23 values upto + 23 cancels outwe are left with only - 19 - 18 sum of which is - 37 . hence option d . e"
Answer: E