hard · GMAT Quant

An audit team has n auditors, where 10<=n<=30. Each auditor initially flags exactly 20 distinct records. Every pair of auditors flags exactly one common record, and no record is flagged by more than two auditors. The team flags 210 distinct records in total, fewer than 10.25 distinct records per auditor on average. Later, 5 nonspecialist auditors leave, 6 of the remaining auditors are designated specialists, and every remaining auditor flags 32 records. In the later audit, each pair containing at least one specialist flags exactly two common records, each pair of nonspecialists flags exactly one common record, and again no record is flagged by more than two auditors.

How many distinct records does the later team flag?

  1. 195
  2. 210
  3. 317
  4. 362
  5. 392

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