Puzzle 89
There are three houses, and three utilities: water, gas, and electricity.
Your task is to connect each house to all three utilities.
Therefore, each house will have three lines, and each utility will also have three lines.
However, you cannot cross lines! You cannot pass lines through houses or utilities. You cannot share lines.
Can you draw the 9 lines required?
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Hint
Try starting with the water.
Answer
This puzzle is a classic one that has no solution in 2D.
However, if you place the items on a doughnut shape in 3D you can solve it.
In the picture below, the electricity is linked to House 3 by going over the top and re-entering through the hole in the middle.
Puzzle 90
During the recent BrainBashers cipher convention, a Morse code contest took place.
The contest consisted of a Morse code transmission where the spaces between the letters and words were missing.
Can you find the ten animals?
Luckily, BrainBashers has provided you with a list of the Morse code characters:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Puzzle Copyright © Kevin Stone
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Hint
The first letters of the words are: F, H, A, B, C, R, P, K, Z, B.
Answers
fox
horse
antelope
buffalo
camel
reindeer
panther
koala
zebra
badger
Puzzle 91
Can you find anagrams of the following words?
COAGULATE
CAVITATES
BACTERIAL
BALANCERS
HEADLAMPS
MILESTONE
TELEPHONY
DIGNIFIES
UNNOTICED
Puzzle Copyright © Kevin Stone
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Hint
Only MILESTONE has more that one anagram.
Answers
CATALOGUE
ACTIVATES
CALIBRATE
BARNACLES
LAMPSHADE
LIMESTONE or LEMONIEST
POLYTHENE
SIGNIFIED
CONTINUED
Puzzle 92
At midnight at the start of Monday, January 1st, Professor Stone set two old-fashioned clocks to the correct time.
One clock gains one minute every hour, and the other clock loses two minutes every hour.
When will the clocks next show the same time as each other?
When will the clocks both show the correct time?
Puzzle Copyright © Kevin Stone
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Hint
The answer occurs on the hour.
Answers
Midnight, 10 days later. They will both show 4 o'clock.
Midnight, 30 days later. They will both show 12 o'clock.
Reasoning #1
If the first clock were to show 2 o'clock, it would have gained 2 hours. In order for the second clock to also show 2 o'clock, it would have had to have lost 10 hours. This is a total of 12 hours gained and lost.
If the first clock were to show 6 o'clock, it would have gained 6 hours. In order for the second clock to also show 2 o'clock, it would have had to have lost 6 hours. This is also total of 12 hours gained and lost.
It doesn't matter what time they both show, in order for the clocks to show the same time, the total time gained and lost is always 12 hours.
We know that for every hour that has passed, the total time gained and lost is 1 + 2 = 3 minutes.
The total time gained and lost will equal 12 hours when 12 x 60 ÷ 3 = 240 hours have passed.
The first clock will have gained 240 x 1 minutes = 240 minutes = 4 hours.
The second clock will have lost 240 x 2 minutes = 480 minutes = 8 hours.
So, they will both show 4 o'clock, 10 days later.
Reasoning #2
In the first answer, we can see that 10 days later, the clocks both show 4 o'clock.
If we move forward another 10 days, both clocks would show 8 o'clock.
If we move forward another 10 days, both clocks would show 12 o'clock.
This will be the correct time, as we are moving a whole number of days each time, and we started at 12 o'clock.
So, they will both show 12 o'clock, 30 days later.
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