Puzzle 421
HWAYETRDETIPZLHV
OMNLTESOSHSUZEAE
Puzzle Copyright © Kevin Stone
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Hint
The question is written in English, but not in its usual order.
Answer
32.
Reading one letter from the top row and then one from the bottom row, the puzzle reads: 'How many letters does this puzzle have'.
Puzzle 422
What four-digit number has Digit 1 three smaller than Digit 4, which is one more than Digit 2, which is twice Digit 3, which is one more than one third of Digit 4?
Puzzle Copyright © Kevin Stone
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Answer
6849.
Reasoning
Digit 4 must be a multiple of 3:
???3
???6
???9
Digit 3 is one more than Digit 9 ÷ 3:
??23
??36
??49
Digit 2 is twice Digit 3:
?423
?636
?849
But Digit 4 is one more than Digit 2, which only leaves:
?849
And Digit 1 is three smaller than Digit 4:
6849.
Puzzle 423
I recently asked a friend of mine to buy me some ribbon for my latest embroidery project.
He went to the haberdashery shop for a particular length, but he accidentally interchanged the feet and inches.
When I measured the purchased ribbon, I only had 30% of the length I required!
How much ribbon did I originally ask for?
Puzzle Copyright © Kevin Stone
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Hint
Remember that there are 12 inches in a foot.
Answer
I asked for 9 foot 2 inches (110 inches) and my friend brought me 2 foot 9 inches (33 inches).
Reasoning
I asked my friend to buy me A feet and B inches, which is a total of 12A + B inches.
He accidentally bought me B feet and A inches, which is 12B + A inches.
We know that 12B + A is actually only 30% of what I wanted, so:
12B + A = 0.3 x (12A + B)
Multiply throughout by 10:
120B + 10A = 3 x (12A + B)
120B + 10A = 36A + 3B
117B = 26A
B = 26A ÷ 117
Note that A and B can only be integers, and between 0 and 11.
Since 26 x A has to be at least 117, the lowest possible value for A is 5. We can check the remaining possibilities.
5 x 26 = 130
6 x 26 = 156
7 x 26 = 182
8 x 26 = 208
9 x 26 = 234 (*)
10 x 26 = 260
11 x 26 = 286
The only number wholly divisible by 117 is 234, which means that A = 9, and B = 2.
So, I originally asked for 9 feet 2 inches.
Puzzle 424
Can you complete this paragraph using two words that are anagrams of each other?
While driving their car at a reckless speed, the driver was distracted by their dog {?}. Luckily, they managed to complete the {?} manoeuvre without crashing.
Puzzle Copyright © Kevin Stone
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Hint
The word contains 7 letters.
Answer
While driving their car at a reckless speed, the driver was distracted by their dog barking. Luckily, they managed to complete the braking manoeuvre without crashing.
Alternative Answer
While driving their car at a reckless speed, the driver was distracted by their dog Spot. Luckily, they managed to complete the stop manoeuvre without crashing.
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