medium · GMAT Quant

An automated auditor flags transaction logs containing N data entries, where 1 ≤ N ≤ 500. When N entries are divided into batches of 11, the remainder is 4. When N entries are divided into batches of 6, the remainder is 1.

How many positive integers N satisfy both conditions?

  1. 6
  2. 7
  3. 8
  4. 9
  5. 10

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