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Hard Puzzles


Difficulty: HardPuzzle 1

Puzzle IconWhat is the next number in the sequence:

32 35 40 44 52 112 ==?==

[Ref: ZGLU] Copyright © Kevin Stone

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Difficulty: HardPuzzle 2

Puzzle IconBelow you will find well-known eight letter words, with only their endings remaining.

Can you determine the words?

.....RUE
.....JAR
.....DIL
.....ANY
.....POX
.....GTH
.....ELF
.....OIA
.....IGE
.....HOG
.....TOO
.....DIX
.....FIN
.....UPT

[Ref: ZINF] Copyright © Kevin Stone

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Difficulty: HardPuzzle 3

Puzzle IconUsing the new BrainBashers programming language, BrainBasic, the following words have their equivalents next to them, what should FOX be?

CLICK = 100501100K
MILK  = 1000150K
LOG   = 50OG
LIFE  = 501FE
ALIVE = A5015E
FOX   = ==?==

[Ref: ZWTB] Copyright © Kevin Stone

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Difficulty: HardPuzzle 4

The Miller next took the company aside and showed them nine sacks of flour that were standing as depicted in the sketch.

"Now, hearken, all and some," said he, "while that I do set ye the riddle of the nine sacks of flour.

And mark ye, my lords and masters, that there be single sacks on the outside, pairs next unto them, and three together in the middle thereof.

By Saint Benedict, it doth so happen that if we do but multiply the pair, 28, by the single one, 7, the answer is 196, which is of a truth the number shown by the sacks in the middle.

Yet it be not true that the other pair, 34, when so multiplied by its neighbour, 5, will also make 196.

Wherefore I do beg you, gentle sirs, so to place anew the nine sacks with as little trouble as possible that each pair when thus multiplied by its single neighbour shall make the number in the middle."

As the Miller has stipulated in effect that as few bags as possible shall be moved, there is only one answer to this puzzle, which everybody should be able to solve.

Puzzle Image

[Ref: ZYIT] The Miller's Puzzle. The Canterbury Puzzles And Other Curious Problems by Henry Ernest Dudeney (1907).

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