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Below are thirteen 5 lettered words, each of which has had two of its letters removed. In total these 26 letters are AZ. The remaining letters in each word are in the correct order. There are no words which are spelled differently based upon location (favour/favor, etc). Can you determine the original words?
The head weighs 24 pounds, the body weighs 32 pounds and the tail weighs 8 pounds.
The trout is made up of the head, body and tail, H, B and T.
We are told that:
T = 8
H = T + B ÷ 2 (1)
B = H + T (2)
Placing T into (1) and (2) we get:
H = 8 + B ÷ 2 (3)
B = H + 8 (4)
Using (4) in (3) we get:
H = 8 + B ÷ 2
H = 8 + (H + 8) ÷ 2 (5)
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 23
I recently gave a new watch to my friend for their birthday. However, as usual with my presents, it was quite useless as it gains 6 minutes every hour. I set it using my own accurate clock at midnight and the watch now shows 8.26am. I know that it stopped 30 minutes ago, so what is the correct time now?
Hint: How many watch minutes will pass in a real hour?
Answer: 8.10am.
Since the watch is gaining 6 minutes every hour, for every real hour that has passed, the watch will only show 66 minutes. Since the watch shows 8.26am, we know that 506 watch minutes have passed. This therefore equals 460 real minutes and hence 7 hours and 40 minutes. The watch stopped 30 minutes ago, therefore the time must now be 8.10am. QED.
Puzzle 24
What is the smallest integer, which, when multiplied by 2 gives a number consisting of only 8's?
Hint: Remember that you're after the smallest one that works.
Answer: 4.
Since 4 x 2 = 8, and it's the smallest possible answer.
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