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Isolated Number Illation (Posted on 2014-07-31) Difficulty: 3 of 5
Seven students count from 1 to 1000 as follows:
  1. Adela says all the numbers, except she skips the middle number in each consecutive group of three numbers. That is, Adela says 1, 3, 4, 6, 7, 9,..., 997, 999, 1000.
  2. Becky says all of the numbers that Adela doesn't say, except she also skips the middle number in each consecutive group of three numbers.
  3. Carina says all of the numbers that neither Adela nor Becky says, except she also skips the middle number in each consecutive group of three numbers.
  4. Deidre says all of the numbers that none of Adela, Becky or Carina say, except she also skips the middle number in each consecutive group of three numbers.
  5. Edith says all of the numbers that none of Adela, Becky, Carina or Deidre say, except she also skips the middle number in each consecutive group of three numbers.
  6. Francine says all of the numbers that none of Adela, Becky, Carina, Deidre or Edith say, except she also skips the middle number in each consecutive group of three numbers.
  7. Finally, Glen says the only number that no one else says.
What number does Glen say?

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
Glen says the number 365.

For an explanation, refer to the solution submitted by tomarken in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutiontomarken2014-07-31 15:15:40
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