Puzzle 1
A trout's tail weighs eight pounds.
Its head weighs as much as the tail and one-half of the body combined, and the body weighs as much as the head and tail combined.
What does the whole trout weigh?
Puzzle Copyright © Kevin Stone
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Hint
A little algebra might help.
Answer
64 pounds.
The head weighs 24 pounds, the body weighs 32 pounds, and the tail weighs 8 pounds.
Reasoning
The trout is made up of the head, body and tail, H, B and T.
We are told that:
T = 8
(1) H = T + B ÷ 2
(2) B = H + T
Placing T into (1) and (2) we get:
(3) H = 8 + B ÷ 2
(4) B = H + 8
Using (4) in (3) we get:
H = 8 + B ÷ 2
(5) H = 8 + (H + 8) ÷ 2
Multiplying (5) by 2 we get:
2H = 16 + H + 8
2H = 24 + H
H = 24
Therefore, by (2):
B = H + T
B = 24 + 8
B = 32
Giving:
H = 24
B = 32
T = 8
And a total of 24 + 32 + 8 = 64 pounds.
Puzzle 2
Can you find a five-letter word which …
… when written in upper-case, reads the same when turned upside down?
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Hint
The word begins with the letter S.
Puzzle 3
My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from England to particular countries and here is the result:
Austria 1,800 miles
New Zealand 2,400 miles
Japan 1,200 miles
Brazil 1,400 miles
How far away did it list Argentina as?
Puzzle Copyright © Kevin Stone
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Hint
Vowels (AEIOU) and consonants are each worth a different number of miles.
Answer
2,200 miles.
Vowels (AEIOU) are worth 300 miles and consonants are worth 200 miles.
Double-Checking
Argentina has 4 vowels (AEIA = 4 x 300), and 5 consonants (RGNTN = 5 x 200), for a total of 1,200 + 1,000 = 1,200 miles.
Puzzle 4
Below you will find 15 well-known seven-letter words, with only their endings remaining.
Can you find the words?
----nst
----nip
----fth
----rno
----dox
----sil
----nac
----iem
----arb
----ior
----bey
----van
----ipt
----dth
----nox
Puzzle Copyright © Kevin Stone
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Hints
The first letters of the words are: A, P, T, I, P, U, A, R, R, W, D, C, R, B, E.
Answers
----nst = against
----nip = parsnip
----fth = twelfth
----rno = inferno
----dox = paradox
----sil = utensil
----nac = almanac
----iem = requiem
----arb = rhubarb
----ior = warrior
----bey = disobey
----van = caravan
----ipt = receipt
----dth = breadth
----nox = equinox
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