Puzzle 493
A grocer has to place 28,121 carrots into bags, each bag containing the same number of carrots, and using as few bags as possible.
If you think that one big bag will suffice, then feel free to calculate its size!
If we assume that more than one bag is used, how many are required?
Puzzle Copyright © Kevin Stone
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Hint
28,121 isn't a prime number.
Answer
61 bags.
Reasoning
Each bag contains 461 carrots.
How do we find the correct answer? An easy way is to keep dividing 28,121 by the prime numbers in sequence until one works.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61.
Puzzle 494
How should these words actually be spelled, without using a dictionary.
bizz-ness
com-it-ee
sin-seer-lee
ark-ee-ollow-jist
Puzzle Copyright © Kevin Stone
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Hint
Be careful with the middle of the last word.
Answer
Business.
Committee.
Sincerely.
Archaeologist.
Puzzle 495
Can you find a word which can go in front of each of these words to make a new word?
colour
cress
fall
proof
shed
way
Puzzle Copyright © Kevin Stone
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Hint
The word begins with the letter W.
Answer
Water.
Watercolour, watercress, waterfall, waterproof, watershed, waterway.
Puzzle 496
If a farmer buys chicken feed for £1.26 per tonne, pig feed for £2.74 per tonne and cattle feed for 78p per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
How much of each would he have if he had 100 tonnes for £100?
Puzzle Copyright © Kevin Stone
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Answer
5 tonnes of chicken feed, 10 tonnes of pig feed and 85 tonnes of cattle feed.
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