Puzzle 36

After a local art theft, six suspects were being interviewed.
Below is a summary of their statements.
Police know that exactly four of them told one lie each and all of the other statements are true.
From this information can you tell who committed the crime?

Alan said:
It wasn't Brian
It wasn't Dave
It wasn't Eddie
Brian said:
It wasn't Alan
It wasn't Charlie
It wasn't Eddie
Charlie said:
It wasn't Brian
It wasn't Freddie
It wasn't Eddie
Dave said:
It wasn't Alan
It wasn't Freddie
It wasn't Charlie
Eddie said:
It wasn't Charlie
It wasn't Dave
It wasn't Freddie
Freddie said:
It wasn't Charlie
It wasn't Dave
It wasn't Alan

[Ref: ZUYK] © Kevin Stone

Hint: If Alan had committed the crime, how many lies would there be?

Answer: Charlie committed the crime.
If any other person had committed the crime there would not be exactly 4 lies told.

Puzzle 37

Can you complete this grid of letters.
Each line is a valid 5 letter word with its first and last letters missing.
The missing letters form a word when read downwards and the same word appears both at the start and at the end.
What is the missing word?

*INE*
*ROD*
*YLO*
*OAS*
*EAT*

[Ref: ZIEU] © Kevin Stone

Hint: The first missing letter is D, giving DineD.

Answer: Dents.

The words were:

D-INE-D = DINED
E-ROD-E = ERODE
N-YLO-N = NYLON
T-OAS-T = TOAST
H-EAT-H = HEATH

Puzzle 38

During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.
During the night, Alan woke up and decided to hide his share of the apples and hid a third, then promptly fell asleep again.
Brian woke up shortly after and also decided to hide a third of the remaining apples and he also dozed back to sleep.
Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.
Of course none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?

[Ref: ZRZE] © Kevin Stone

Hint: How many apples were left after Charlie had taken some?

Answer: 162.
Alan hid 54, leaving 108. Brain hid 36, leaving 72. Charlie hid 24, leaving 48. 48 apples were then available to share in the morning.
To work these numbers out, we start at the end and work backwards.
At the end there were 16 apples each, therefore there were 48 apples.
Charlie removed 1÷3 leaving 48, so there must have been 72 apples before he did this.
Brian removed 1÷3 leaving 72, so there must have been 108 apples before he did this.
Alan removed 1÷3 leaving 108, so there must have been 162 apples before he did this. QED.

Puzzle 39

What is the highest total you can make, if you only move up or right, using the mathematical signs on the way?

[Ref: ZSLQ] © Kevin Stone

Answer: 7.

Puzzle 40

Using the BrainTracker grid below, how many words can you find? Each word must contain the central M and no letter can be used twice. The letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?
Excellent: 38 words. Good: 31 words. Average: 24 words.

[Ref: ZLOU] © Kevin Stone

Hint: Every word must contain the central letter.

Answer: Meanwhile.
Common words:
ahem, aim, am, amen, elm, em, enamel, ham, helm, hem, hemline, him, lam, lame, lawmen, lima, lime, ma, mail, main, male, man, mane, maw, me, meal, mean, MEANWHILE , men, menial, mew, mewl, mile, mine, name, wham, whim.
All words:
ahem, aim, alme, almeh, am, amen, ami, amie, amin, amine, anime, elemi, elm, em, eme, enamel, haem, haemin, halm, ham, hame, helm, hem, hemal, heme, hemin, hemline, hiemal, him, hm, lam, lame, lawmen, leman, lima, liman, lime, limen, limn, ma, mae, mail, maile, main, male, maline, man, mane, maw, mawn, me, meal, mealie, mean, meanie, MEANWHILE , mel, men, menial, mew, mewl, mi, mien, mil, mile, mina, minae, mine, nam, name, neem, nema, nim, wame, whalemen, wham, wheelman, whelm, whim.