BrainBashers - Random Puzzles

Puzzle 13

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?

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Puzzle 14

In the sentence below, the three missing words are anagrams of each other:

When I pressed ? on the scales, it brought a ? to my eye, as a piece of metal stuck in my finger. I didn't ? this as a good experience.

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Puzzle 15

What is the only number not found in the Roman numerals system?

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Puzzle 16

If I give you seven apples, you will then have five times as many as I would then have.

However, if you give me seven apples, we will then both have the same number of apples.

How many apples do I currently have?

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