Puzzle 16

After a local bungled heist, five suspects were being interviewed by the police.
Eventually the police managed to get a confession.
Below is a summary of their statements and it turns out that exactly 5 of these statements were true.
Would you make a good detective, try and work out who committed the crime?

Adrian said:
It wasn't Barry
It was Cedric
Barry said:
It wasn't Adrian
It was Derek
Cedric said:
It wasn't Derek
It wasn't Barry
Derek said:
It wasn't Eric
It was Adrian
Eric said:
It wasn't Cedric
It was Derek

[Ref: ZWTL] © Kevin Stone

Hint: How many statements would be true if the culprit was Adrian?

Answer: Eric committed the crime.
If we assume that Adrian was the culprit we can see that there would be 6 true statements, so it can't be Adrian.
We can repeat this will all five suspects and quickly see that only Eric being the culprit would result in exactly 5 statements being true.

Puzzle 17

The BrainBashers safe has a rather unusual control panel.
In order to open the safe you have to press every single button once only, in the correct sequence, ending on the button marked E .
Each button clearly states which button to press next, for example, 2U means move up 2 buttons and 3R means move right 3 buttons.
Can you determine which button you must start with?

2R

1D

2D

2L

1L

1L

1L

1U

2R

2L

2D

1D

1R

2D

3R

5R

2D

2L

1R

1U

4D

2D

1R

2R

3L

2U

2D

1D

2U

1U

2D

1D

1L

1U

2L

6R

1U

4U

E

1D

3L

2L

2U

1U

2L

2L

1R

2L

6U

[Ref: ZDEZ] © Kevin Stone

Hint: Start anywhere and see where you end.

Answer: Start with the 1U which is on the 5th row and the 6th column.

Puzzle 18

Place the following words into the grid:

MERCURY VENUS EARTH MARS SATURN URANUS NEPTUNE PLUTO

Note, Jupiter is NOT in the list.

[Ref: ZPSJ] © Cihan Altay Website: otuzoyun.com/pqrst .

Hint: Neptune is diagonal.

Answer:

Puzzle 19

I recently went to the shop and purchased 4 items.
Three of the items cost:

$1.50
$3.00
$4.00

There was quite a long queue, and as I was quite bored, I was playing with my pocket calculator whilst waiting.
Very curiously, the 4 prices added to the same number as I got when I multiplied the 4 prices together.
What was the price of the 4th item?

[Ref: ZAPY] © Kevin Stone

Hint: What do the 3 numbers add and multiply to give so far?

Answer: $0.50.

The three prices add to 1.50 + 3.00 + 4.00 = 8.50.

The three prices multiply to 1.50 x 3.00 x 4.00 = 18.00.

You might be able to see that adding another 0.50 will take the total to 9.00, and multiplying by another 0.50 will take the product to 9.00.

The answer can also be found using algebra. If we call the missing price P, we have:

1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P
8.50 + P = 18.00 x P
8.50 = 18.00 x P - P
8.50 = 17.00 x P
8.50 ÷ 17.00 = P
P = 0.50. QED.

Puzzle 20

Using the BrainTracker grid below, how many words can you find? Each word must contain the central Y and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?
Excellent: 13 words. Good: 11 words. Average: 9 words.

[Ref: ZYOA] © Kevin Stone

Hint: Every word must contain the central letter.

Answer: Enjoyment.
Common words:
enemy, enjoy, ENJOYMENT , eye, jenny, joey, joy, money, my, toy, yen, yeomen, yet.
All words:
enemy, enjoy, ENJOYMENT , etymon, eye, eyen, eyne, jenny, joey, joy, money, mony, motey, my, neoteny, oy, toney, tony, toy, tye, tyee, tyne, ye, yen, yente, yeomen, yet, yo, yom, yon.