Puzzle 17
What is the smallest positive integer which …
… when multiplied by 3 gives a number consisting of only 4's?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
148.
Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).
So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.
Alternative Reasoning
Let's try the possible answers in order:
4 ÷ 3 = 1.3333
44 ÷ 3 = 14.6666
444 ÷ 3 = 148
Double-Checking
148 x 3 = 444.
Puzzle 18
In Farmer Donald's hay loft there are a number of ants, mice and chickens.
There are ten times as many ants as there are mice, and there are four times as many mice as there are chickens.
Altogether there are 1,806 feet.
How many chickens are there?
Puzzle Copyright © Kevin Stone
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Hint
Think about the number of legs.
Answer
There are 7 chickens, 28 mice and 280 ants.
Reasoning
For every chicken (2 legs) we have 4 mice (16 legs) and 40 ants (240 legs) = 258 legs.
So we can divide the total number of legs by 258, giving 1,806 ÷ 258 = 7 (chickens).
Puzzle 19
These words have had their vowels (AEIOU) removed, can you replace them to find some animals:
pnd
frrt
s ln
hdghg
chth
tdpl
ttr
plr br
lprd
grff
Puzzle Copyright © Kevin Stone
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Hint
The first word ends with the letter A.
Answers
pnd = panda
frrt = ferret
s ln = sea lion
hdghg = hedgehog
chth = cheetah
tdpl = tadpole
ttr = otter
plr br = polar bear
lprd = leopard
grff = giraffe
Puzzle 20
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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Hints
The first letters of the words are: R, S, D, E, C, W, Z, A, M, D.
Answers
Rabbit
Squirrel
Donkey
Elephant
Cat
Weasel
Zebra
Aardvark
Mouse
Dog