BrainBashers - Random Puzzles

Puzzle 17

What letter should complete this sequence:

L · A · H · A · R · U · R · E · D · L · ?

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Puzzle 18

Below you can find 8 words that have had their beginnings and endings removed. In each case, the same two letters can be found at the beginning and the end. For example REspiRE.
--qui-- --yli-- --tat-- --gib-- --liv-- --rmi-- --ifi-- --alg--

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Puzzle 19

What is the next number in this sequence:

1 · 2 · 4 · 14 · 21 · ?

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Puzzle 20

I recently travelled from my home town to a distant music concert, on a pedal tricycle, of all things! My wonderful, three-wheeled tricycle.

I knew that the epic 2,345 mile trip would wreak havoc on the tyres, but luckily I took along 4 spares!

Instead of waiting for any single tyre to fail, I decided that I would rotate the tyres evenly, making sure that by the end of the trip, all seven tyres had travelled exactly the same distance.

What was the distance that each tyre travelled?

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