Hard Logic Sequence Puzzle

Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?




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It's pretty hard to give up.
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Remove one more and it still remains.

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During an experiment, a guy throws a bouncy ball from a 100 feet tall building. The ball has a specific characteristic. Every time it hits the ground, it bounces up halfway.

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One evening there was a murder in the home of a married couple, their son and daughter. One of these four people murdered one of the others. One of the members of the family witnessed the crime.

The other one helped the murderer.

These are the things we know for sure:

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2. The oldest person and the witness were not of the same sex.

3. The youngest person and the victim were not of the same sex.

4. The one who helped the murderer was older than the victim.

5. The father was the oldest member of the family.

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A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

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Principal in the School

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Solve the counting riddle by identifying the number of triangles in the given picture.

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In the 1920s, people feared that crossword puzzles would contribute to illiteracy.