Puzzle 202
What are the next three digits in this sequence:
7 · 3 · 1 · 8 · 2 · 8 · 5 · 3 · 1 · 5 · 3 · 0 · 3 · 3 · 1 · 4 · 3 · 0 · ? · ? · ?
Puzzle Copyright © Kevin Stone
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Hint
This question involves the months of the year in some way.
Answer
4 3 1.
Reasoning
This is the sequence of the length of the name of the month, and the number of days in that month.
7 3 1 = January, which has 7 letters, and 31 days.
8 2 8 = February, which has 8 letters, and 28 days.
5 3 1 = March, which has 5 letters, and 31 days.
5 3 0 = April, which has 5 letters, and 30 days.
3 3 1 = May, which has 3 letters, and 31 days.
4 3 0 = June, which has 4 letters, and 30 days.
Which means the next three digits are:
4 3 1 = July, which has 4 letters, and 31 days.
Puzzle 203
Below you will find 15 well-known six-letter words, with only their endings remaining.
Can you find the words?
---amt
---nue
---rtz
---oze
---mth
---iek
---gry
---thm
---koo
---spy
---sip
---lem
---uid
---tyr
---meg
Puzzle Copyright © Kevin Stone
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Hints
The first 6 words begin with the letters D, A, Q, S, W, S.
Answers
---amt = dreamt
---nue = avenue
---rtz = quartz
---oze = snooze
---mth = warmth
---iek = shriek
---gry = hungry
---thm = rhythm
---koo = cuckoo
---spy = crispy
---sip = gossip
---lem = emblem
---uid = liquid
---tyr = martyr
---meg = nutmeg
Puzzle 204
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.