Triangular Logic

Which number should replace the question mark?

Triangular Logic




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Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

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John is on an island and there are three crates of fruit that have washed up in front of him. One crate contains only apples. One crate contains only oranges. The other crate contains both apples and oranges.

Each crate is labelled. One reads 'apples', one reads 'oranges', and one reads 'apples and oranges'. He know that NONE of the crates have been labeled correctly - they are all wrong.

If he can only take out and look at just one of the pieces of fruit from just one of the crates, how can he label all of the crates correctly?

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Replace the question mark with the correct number below.

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If you go to the movies and you're paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at the same time?

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10 people came into a hotel with 9 rooms and each guest wanted his own room. The bellboy solved this problem.
He asked the tenth guest to wait for a little with the first guest in room number 1. So in the first room, there were two people. The bellboy took the third guest to room number 2, the fourth to number 3, ..., and the ninth guest to room number 8. Then he returned to room number 1 and took the tenth guest to room number 9, still vacant.
How can everybody have his own room?

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The Little ant seems to be always confused. Do you know why?

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What number comes next in this sequence:
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As a whole I am both
safe and secure.

Behead me and I become
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Behead me again and I am
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Restore me, and I become
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What am I?

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If nine thousand, nine hundred nine dollars is written as $9,909,
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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.