Puzzle 1
In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
....
———————
75 | 796767
791
——
57
30
——
86
82
——
47
47
——
9
Puzzle Copyright © Kevin Stone
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Answer
6423 = 109,191 ÷ 17.
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 have been replaced by 7, 1, 8, 2, 4, 3, 5, 0, 6, 9 respectively.
Puzzle 2
I was quite bored yesterday, so I visited my local animal sanctuary.
To pass the time, I counted 612 legs.
This came from an equal number of beetles, spiders, and mice.
Can you work out the total number of animals I counted?
Puzzle Copyright © Kevin Stone
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Hint
A beetle has six legs, a spider has eight legs, and a mouse has four legs.
Answer
102 animals, 34 of each.
Reasoning
As there are the same number of each animal, for every beetle, spider, and mouse counted, there are a total of 18 legs.
612 ÷ 18 = 34 of each animal.
Which gives a total of 34 x 3 = 102 animals.
Puzzle 3
What are the next five letters in this sequence:
JAJWUTH
TFAPOW
JFDABHC
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Hint
This is a well known nursery rhyme.
Answer
AJCTA.
These are the initial letters from the nursery rhyme 'Jack and Jill went up the hill'. The letters represent 'and Jill came tumbling after'.
Puzzle 4
In 1978,
what happened on the 5th of June,
at 34 minutes past 12?
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Hint
How can we write this time and date?
Answer
The time and day became:
12:34 5/6/78 (in UK format)
In US format, this happened on the 6th of May.
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