BrainBashers - Brain Teasers and Puzzles

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Puzzle 429

In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
       ....
    ———————
75 | 796767
     791
      ——
       57
       30
       ——
        86
        82
        ——
         47
         47
         ——
          9

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Puzzle 430

Which sport is the odd one out:

football · polo · badminton · baseball · golf · tennis · cricket · billiards · rugby

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Puzzle 431

Jam Making Contestall logic puzzles

At the recent interdepartmental jam making contest, four lucky candidates took part to make the juiciest strawberry jam.

As it happens, the person who came last was the oldest.
Glen was three years older than the person who came second.
Drew was neither the oldest nor the youngest.
Emery finished ahead of the 27-year-old, but didn't win.
Alex was also unlucky this time, and didn't win either.
The ages of the contestants were 24, 27, 30 and 32.

Can you work out who finished where, and how old they were?

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Puzzle 432

I was travelling from Chesterton to Newcastle recently when I came across a sign which had fallen off its post at the crossroads.

It was marked to Newcastle, Chesterton, Knutton and Silverdale.

Unfortunately I didn't know which road to take to Newcastle and had hoped the sign would help.

Luckily I had a brainwave which helped me put the sign back pointing correctly to Newcastle.

What was my idea?

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