hard · GMAT Quant

A factory's n positive whole-number daily production targets form an increasing arithmetic sequence. The mean of all n targets is 40.

If the three smallest targets are removed, the mean of the remaining targets is 43. The original sum of the targets is strictly between 900 and 1,200, and the smallest target is divisible by 5. A calibration change then reduces by 1 every target that is divisible by 3 and leaves every other target unchanged. What is the sum of the changed targets?

  1. 1,029
  2. 1,030
  3. 1,031
  4. 1,032
  5. 1,040

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