Puzzle 417
Can you find the country hidden in the following paragraph:
The local habitat around a railway track can be very interesting. For example, supporting the track is a sleeper, under which you can find the lesser-spotted great weevil.
Puzzle Copyright © Kevin Stone
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Hint
The country spans more than one word.
Answer
Peru.
The local habitat around a railway track can be very interesting. For example, supporting the track is a sleePER, U nder which you can find the lesser-spotted great weevil.
Puzzle 418
At a picnic recently, I noticed that:
Charles liked biscuits, but didn't like custard.
Mary liked quiche, but didn't like marshmallows.
Brian liked apples, but didn't like biscuits.
James liked chocolate, but didn't like jelly.
Did David like doughnuts?
Puzzle Copyright © Kevin Stone
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Hint
Ellen liked shrimp, but didn't like eels.
Answer
No.
None of them liked food that started with the same letter as their name.
Puzzle 419
I recently gave a new carriage clock to my friend for a very special birthday.
However, as usual with my presents, it was quite useless as it loses 6 minutes every hour.
I set it using my own accurate clock at midnight, and the clock now shows 10:12am.
I know that it stopped 2 hours ago, so what is the correct time now?
Puzzle Copyright © Kevin Stone
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Hint
How many clock minutes pass in a real hour?
Answer
1:20pm.
Reasoning
The clock now shows 10:12am, so we know that 10 x 60 + 12 = 612 clock minutes have passed.
Since the clock is losing 6 minutes every hour, for every real hour that has passed, the clock will show 54 minutes.
So, 612 ÷ 54 ≈ 11.33 real hours have passed.
This equals 680 minutes, which is 11 hours and 20 minutes = 11:20am.
The clock stopped 2 hours ago, therefore the time must now be 1:20pm.
Puzzle 420
If I give you seven apples, you will then have five times as many as I would then have.
However, if you give me seven apples, we will then both have the same number of apples.
How many apples do I currently have?
Puzzle Copyright © Kevin Stone
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Hint
A little bit of algebra might help.
Answer
I have 14 apples and you have 28 apples.
Reasoning
We can work this out with a little algebra. I have A apples and you have B apples, then
[1] 5 x (A − 7) = B + 7
[2] A + 7 = B − 7
From [1] we have:
5A − 35 = B + 7
[3] 5A = B + 42
From [2] we have:
[4] A + 14 = B
We can then use [4] in [3] to give:
5A = (A + 14) + 42
5A = A + 56
4A = 56
A = 14
Which gives B = 28 (by [4]).
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