If Goats are Sheep

If all Goats are Sheep and all Sheep are Deers, are all Deers Goats ?




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When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
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When I divide it by 7, the remainder is 6.
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When I looked for a smaller number with this property I couldn't find one.

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Crossword

The day before the 1996 U.S. presidential election, the NYT Crossword contained the clue “Lead story in tomorrow’s newspaper,” the puzzle was built so that both electoral outcomes were correct answers, requiring 7 other clues to have dual responses.