## Puzzle 1

Take a set of three letters from the left column, and a set of three letters from the right column and merge them together, without changing the order of the letters in each half (matching sets might not be on the same row).

Example 1: **WMB + OAT** and **MAT + WOB** both equal **WOMBAT**.

Example 2: **RBT + ABI** and **AIT + RBB** both equal **RABBIT**.

Can you find the six animals that have been split in half?

CYO ARU

WLS DNE

EAR FEE

OKY OTE

RRT JAR

AGU BVE

Puzzle Copyright © Kevin Stone

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Hint

The first letters of the animals are B, C, D, F, J, W.

Answer

Beaver, coyote, donkey, ferret, jaguar, walrus.

EAR + BVE = BEAVER

CYO + OTE = COYOTE

OKY + DNE = DONKEY

RRT + FEE = FERRET

AGU + JAR = JAGUAR

WLS + ARU = WALRUS

## Puzzle 2

During a recent BrainBashers thinking contest(!), the total number of points scored by the first six players was 103 and every score was above zero.

The first player scored half the points of the second player, who in turn scored 6 points fewer than the third player.

The third player in turn scored two thirds the points of the fourth player.

The fifth player managed to score the same number of points as the difference between the first and fourth player's points.

Finally, the sixth player scored 14 fewer points than the fifth player.

Can you determine how many points the sixth player managed to score?

Puzzle Copyright © Kevin Stone

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Hint

The fourth player is the key to this tricky question.

Answer

9 points.

Respectively the scores were 7, 14, 20, 30, 23, 9.

Reasoning

If we label the six players A, B, C, D, E, and F we know that:

[1] A + B + C + D + E + F = 103

and:

A = B ÷ 2

B = C - 6

C = D x 2 ÷ 3

E = D - A

F = E - 14

Note: if instead we choose E = A - D, we'd later see that we end up with a negative value for E, which isn't allowed.

Since D is the letter we're missing information for, it's best to find all of the other letters in terms of D. These steps are left as an exercise (e.g. use C in the equation for B, etc), but the result is:

A = ( D - 9) ÷ 3

B = (2D - 18) ÷ 3

C = (2D ) ÷ 3

D = (3D ) ÷ 3

E = (2D + 9) ÷ 3

F = (2D - 33) ÷ 3

Setting D = 3D ÷ 3 makes it slightly clearer to see when adding in the next step.

We can then use these in [1] to find that 12D = 360, so D = 30. Which allows us to find F = 9.

## Puzzle 3

**Bank Robbery #2** - Logic Puzzles

After a local bank robbery, four suspects were interviewed. Below is a summary of their statements.

The police know that each of them told the truth in one of the statements, but lied in the other.

From this information, can you tell who committed the crime?

Ashley said:

It wasn't Drew

It wasn't Billie

Billie said:

It wasn't Casey

It was Drew

Casey said:

It was Ashley

It wasn't Drew

Drew said:

It was Casey

It wasn't Ashley

Puzzle Copyright © Kevin Stone

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Hint

Remember that each of them told the truth in one of their statements, but lied in the other.

Answer

Billie robbed the bank.

Reasoning

We know that each of them told the truth in one of the statements and lied in the other.

So according to Ashley, as one of the statements is false, it must have been either Drew or Billie.

If it was Drew, then Billie's statements would both be true, which isn't allowed.

Therefore, it was Billie, which agrees with Casey and Drew's statements.

## Puzzle 4

**Chess Tournament** - Logic Puzzles

The results of a recent Chess tournament between five close rivals is described below:

Dale finished before Alex.
Emery finished after Bailey.
Alex finished before Chris.
Emery finished after Dale.
Bailey finished before Alex.
Dale finished after Bailey.
Chris finished before Emery.

Who finished where?

Puzzle Copyright © Kevin Stone

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Hint

Try rewriting each statement so that they are all 'finished before' statements instead.

Answer

Bailey won...

...then Dale, Alex, Chris, and Emery.

By placing the person who finished higher to the left, we have:

Dale finished before Alex (Dale > Alex)
Emery finished after Bailey (Bailey > Emery)
Alex finished before Chris (Alex > Chris)
Emery finished after Dale (Dale > Emery)
Bailey finished before Alex (Bailey > Alex)
Dale finished after Bailey (Bailey > Dale)
Chris finished before Emery (Chris > Emery)

From Clue1 and Clue3:

Dale > Alex > Chris

Adding Clue7:

Dale > Alex > Chris > Emery

Adding Clue6:

Bailey > Dale > Alex > Chris > Emery

Which is the final placing for all the players, and can be double-checked with the remaining clues.

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