BrainBashers - Random Puzzles

Puzzle 17

What is the next number in this sequence:

100 365 24 60 ?

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Puzzle 18

Can you find every occurrence of the word AUGUST that appears in this grid (horizontally, vertically, or diagonally)?

The hint will reveal the number of times it occurs, but where are they?

Note: this puzzle is not interactive, and the letters cannot be selected.

workings hint answer print

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Puzzle 19

Cake Theft – Logic Puzzles

During a recent police investigation, Chief Inspector Stone was interviewing five local villains to try and identify who stole the prize cake from the mid-summers fayre. Below is a summary of their statements:
Alex:    it wasn't Emery
         it was Billie

Billie:  it wasn't Charlie
         it wasn't Emery

Charlie: it was Emery
         it wasn't Alex

Dale:    it was Charlie
         it was Billie

Emery:   it was Dale
         it wasn't Alex

It was well known that each suspect told exactly one lie. Can you determine who stole the cake?

workings hint answer print

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Puzzle 20

Which of the shapes is identical to the first one?

There might be more than one.

workings hint answer print