hard · GMAT Quant

A research institute surveyed 150 senior researchers about which of three grant committees they serve on: Genomics, Materials, and Policy. Exactly 70 researchers serve on the Genomics committee, 64 on Materials, and 58 on Policy. Of the 150 researchers, 129 serve on at least one of the three committees, and exactly 83 serve on exactly one committee.

How many of the researchers serve on all three committees?

  1. 9
  2. 17
  3. 29
  4. 46
  5. 63

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