Puzzle 233
Nursery Playground - Logic Puzzles
At the local nursery school, I was chatting to my daughter's friends and noticed a number of things.
Frankie has mousy coloured hair and the girl with black hair was wearing a green t-shirt.
Lucy is not blonde and Lauren does not have brown hair, Chloe was wearing a blue t-shirt.
The blonde girl was not wearing red and Lauren was not wearing green.
I can't remember who was wearing a yellow t-shirt.
Can you work out the colours of the t-shirt and hair for each child?
Puzzle Copyright © Kevin Stone
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Hint
Chloe has brown hair.
Answer
Name T-shirt Hair
Frankie red mousy
Lauren yellow blonde
Lucy green black
Chloe blue brown
Puzzle 234
What is the 20th prime number?
2, 3, 5, 7, …
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Hint
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, …
Answer
71.
The first twenty prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.
Puzzle 235
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 bit of 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 236
Can you complete the following four 5-letter words?
The missing letters, in order, spell an animal.
--ute
c--el
st--g
car--
Puzzle Copyright © Kevin Stone
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Hint
The animal begins with the letter F.
Answer
Flamingo.
--ute = flute
c--el = camel
st--g = sting
car-- = cargo
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