Puzzle 265
What are the next three letters in this sequence:
HDD
TMRUTC
TCSO
TMRD
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Hint
This is a well known nursery rhyme.
Answer
HDD.
The initial letters from the nursery rhyme, Hickory Dickory Dock.
Hickory, dickory, dock,
The mouse ran up the clock,
The clock struck one,
The mouse ran down,
Hickory, dickory, dock.
Puzzle 266
What is the minimum number of queens required on a chessboard such that all squares are attacked?
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Hint
Try this with a real board.
Answer
5 queens are required.
Puzzle 267
Can you find a valid sentence …
… which has two consecutive ANDs in it?
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Hint
Think of the phrase 'my bucket and spade'.
Answer
In the phrase 'my bucket and your spade', the gap between 'my' and 'and' is the same as the gap between 'and' and 'spade', namely one word.
Indeed, this logic can be continued to give the following sentence. In the first sentence the gap between 'and and' and 'and and' is seven words, et cetera.
Puzzle 268
What number comes next in this sequence:
42 1412 11141112 31143112 132114132112 {?}
Puzzle Copyright © Kevin Stone
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Hint
Say each number one digit at a time.
Answer
11131221141113122112.
Reasoning
Each term describes the previous term.
For example 42 = one four, one two = 1412.
And 1412 = one one, one four, one one, one two = 11141112.
Etc.
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