Chess Tournament

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 10 matches are played in total, how many players participated?
(b) If 20 players took part in the tournament, how many matches were played?




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A train full of passengers goes through a tunnel. When the train comes out from the other end, there is no single person on the train.

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A number with an interesting property:

When I divide it by 2, the remainder is 1.
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.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.

Can you find it?

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I am eight letters long - "12345678"
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My 34567 supports a plant.
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In the picture given below, can you find out which digit will take place of the question mark?

Replace the Question Mark

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There is a wide field of corn. A goose finds its way into the field and starts running. Can you find out till which point the goose can run into the field?

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Christina is practising her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, Niharika is standing in the 4th position from either end of the row.
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In a boat, the father of a sailor's son is sitting with the son of the sailor. However, the sailor is not present on the boat.

Can this even be possible?

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If we tell you that there is a relation between the numbers and letters in the given figure, can you analyze it and find the missing letter in the last box?

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