BrainBashers - Random Puzzles

Puzzle 1

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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Puzzle 2

What letter is missing from this sequence:

A B G D E ? E

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Puzzle 3

Below you will find 15 well-known five-letter words, with only their endings remaining.

Can you find the words?
--lta --yss --pty --dth --day --ybe --dex --fth --nda --aph --alp --era --njo --eue --xty

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Puzzle 4

Triathlon - Round 1 – Logic Puzzles

During the latest round of the BrainBashers school triathlon the final results were mislaid, however, this is what we do know.

Hayden was fourth.
Alex was not the oldest but was older than Drew, who was not second.
The child who was next in age to the youngest, finished second.
The child who finished in third place was older than the child who finished first.
Billie was younger than the child who finished in third place.
Can you determine who finished where and place the children in order of age?

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