Random Puzzles - BrainBashers

Puzzle 1

After a local art theft, six suspects were interviewed.

Below is a summary of their statements.

Police knew that exactly four of them told one lie each, and all the other statements were true.

From this information, can you tell who committed the crime?
Alex said:
   It wasn't Billie
   It wasn't Drew
   It wasn't Emery

Billie said:
   It wasn't Alex
   It wasn't Chris
   It wasn't Emery

Chris said:
   It wasn't Billie
   It wasn't Frankie
   It wasn't Emery

Drew said:
   It wasn't Alex
   It wasn't Frankie
   It wasn't Chris

Emery said:
   It wasn't Chris
   It wasn't Drew
   It wasn't Frankie

Frankie said:
   It wasn't Chris
   It wasn't Drew
   It wasn't Alex

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Puzzle 2

Below are 8 Academy Award winners.

The letters of their names have been mixed up and put into alphabetical order.

The brackets contain clues to their names, the first letter and the length of each part of their name. For example, EEIKNNOSTV [K5 S5] = KEVIN STONE.
DEEFIJOORST      [J5 F6]
EEELMPRRSTY      [M5 S6]
ABEIJLORRSTU     [J5 R7]
AABEEHHIKNNPRRTU [K9 H7]
CEEEGGLNOOORY    [G6 C7]
ACCHIJKLNNOOS    [J4 N9]
BDEEINOORRRT     [R6 D2 N4]
AACCEEHIILMN     [M7 C5]

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Puzzle 3

Which is longer:

250 centimetres 8 feet

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Puzzle 4

My local greengrocer is a would-be mathematician.

She likes to arrange the apples in nice rows.

When she lays the apples in rows of 3, she has one left over.

And, when she lays them in rows of 5, she also has one left over.

Remarkably, she also has one left over when she arranges them in rows of 7 and 9.

But 11 seems to be the magic number, because in rows of 11 there are no apples left over.

How many apples does she have?

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