Hint
It will take a while to check 1 x 7, 2 x 7, 3 x 7. What do we know about the answer?
Answer
63,492 x 7 = 444,444
Reasoning
We can work backwards, as we know that the number multiplied by 7 has only 4's. We can try the following:
4 ÷ 7 ≈ 0.57 x
44 ÷ 7 ≈ 6.29 x
444 ÷ 7 ≈ 63.43 x
4,444 ÷ 7 ≈ 634.86 x
44,444 ÷ 7 ≈ 6,349.14 x
444,444 ÷ 7 = 63,492
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Puzzle 318
How many cubic feet of earth are removed …
… to make a hole 4 feet wide by 7 feet long by 2 feet deep?
We usually ask how much earth there is in a hole, which of course there is none!
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Puzzle 319
As I was going to St Ives,
I met a man with seven wives.
Each wife had seven sacks,
Each sack had seven cats,
Each cat had seven kits.
Kits, cats, sacks and wives,
How many were going to St. Ives?
This is a very old puzzle, and appeared in a manuscript dated around 1730. It is thought to refer to a town in Cornwall, UK.
If we were to count everyone and everything, including all of the kits, cats, sacks and wives, we would have:
Me = 1
Man = 1
Wifes = 7
Sacks = 7 x 7 = 49
Cats = 7 x 7 x 7 = 343
Kits = 7 x 7 x 7 x 7 = 2401
Total = 1 + 1 + 7 + 49 + 343 + 2401 = 2,802.
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Puzzle 320
Can you find common anagrams of each of the words below?
Each of the words has more than one anagram, but the initial letters of the correct anagrams form another anagram related to the word QUESTION.
Hint
Find anagrams of the words in this order: PLEASE, TRANCE, LISTEN, WARNED, VEINED, BRUISE.
Answers
ANSWER.
Reasoning
The initial letters are RWASEN, which is an anagram of ANSWER. bruise becomes rubieswarned becomes wander (or warden)please becomes asleeplisten becomes silentveined becomes envied (or endive)trance becomes nectar
The word DEBATE can also be made, but this requires an obscure anagram.