Puzzle 109
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 names for pet cats?
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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Hints
The first letters of the words are: F, T, W, S, F, T, T, T, S, M.
Answers
Fluffy
Tiger
Whiskers
Spot
Felix
Tom
Tabby
Tiddles
Socks
Mittens
Puzzle 110
Starting in the bottom left corner and moving either up or right, how many ways are there to get to the top right corner and make a total of 10?
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
You can only go up, or right.
Answer
6.
With U = Up, and R = Right, you can move in the following ways:
UURR
URUR
URRU
RUUR
RURU
RRUU
Puzzle 111
Take a word from the first column, and a word from the second column.
You will now have 5 lots of eight letters, and each of these eight letters is an anagram of an animal.
What are the 5 animals?
soot tent
most then
much tire
area mare
leap pink
Puzzle Copyright © Kevin Stone
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Hints
Try: soot + tire, most + mare, much + pink.
Answers
soot + tire = tortoise
most + mare = marmoset
much + pink = chipmunk
area + tent = anteater
leap + then = elephant
Puzzle 112
Can you find three consecutive odd numbers that …
… total 1,287 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
There are two different methods, one involves a cube root, and the other doesn't require a calculator.
Answer
9 x 11 x 13.
Reasoning #1
We're after three numbers that multiply together, so a good place to start is the cube root of 1,287, which is roughly 10.88.
Let's try dividing by the closest odd number to 10.88:
1287 ÷ 11 = 117
We're now after whole divisors of 117. Trying the odd numbers either side of 11 might work.
Trying either 9 or 13 gives the answer:
9 x 11 x 13 = 1,287
Trying the closest odd number to the cube root always works, and the other two numbers are the odd numbers either side.
Reasoning #2
We after three numbers that multiply together, but none of these can end in 5 (otherwise our answer would end in 0 or 5).
So, they can only end in 7, 9, 1 (e.g. 87, 89, 91), or 9, 1, 3 (e.g. 89, 91, 93).
However, if they ended in 7, 9, 1, the answer would end in 3 (because 7 x 9 x 1 = 63).
Therefore, they end in 9, 1, and 3 (because 9 x 1 x 3 = 27).
The first numbers we can try are 9, 11, 13:
= 9 x 11 x 13
= 99 x 13
= 100 x 13 − 13
= 1300 − 13
= 1,287
A calculator is not required!
