BrainBashers - Random Puzzles

Puzzle 5

For being well-behaved at the garden fayre, four children were each given two sweets.

Jesse had an orange sweet.
One child who had a red sweet also had a blue one.
No child had two sweets of the same colour.
A child who had a green sweet also had a red one.
Jamie didn't have a red sweet, and Jo had a green one.
Jordan didn't have an orange one, and Jesse had no blue sweets.
Knowing that there were two sweets of each colour, can you tell the colours of the sweets each child had?

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Puzzle 6

What number completes this sequence:

4 · 15 · 14 · 11 · 5 · ?

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???

Puzzle 7

In this long division, each number has been replaced by another.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 8

This BrainBashers safe has a rather unusual control panel.

In order to open the safe, you have to press every single square once only, in the correct sequence, ending on the square marked E.

Each square indicates which square to press next, for example, 2U means move up 2 squares and 3R means move right 3 squares.

Can you determine which square you must start with?

Note: this puzzle is not interactive, and the safe buttons cannot be clicked.

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