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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.
[Ref: ZYIT] The Miller's Puzzle. The Canterbury Puzzles And Other Curious Problems by Henry Ernest Dudeney (1907).
Direct Link: www.brainbashers.com?ZYIT
Hint: The two left numbers multiplied, or the right two numbers, should create the central number.
Answer:
The way to arrange the sacks of flour is as follows: 2, 78, 156, 39, 4. Here each pair when multiplied by its single neighbour makes the number in the middle, and only five of the sacks need be moved.
There are just three other ways in which they might have been arranged (4, 39, 156, 78, 2; or 3, 58, 174, 29, 6; or 6, 29, 174, 58, 3), but they all require the moving of seven sacks.
Puzzle 2
What letter comes next in this sequence:
E O E R E ==?==
[Ref: ZCZL]
Direct Link: www.brainbashers.com?ZCZL
Hint: It's a very common sequence.
Answer: X.
The terminal letters of the words one, two, three.
Puzzle 3
Below are thirteen 5 lettered, everyday words, each of which has had two of its letters removed.
In total these 26 letters are AZ. The remaining letters in each word are in the correct order.
There are no words which are spelled differently based upon location (favour/favor, etc) and there are no plurals.
Can you determine the original words?
APE
BAE
BOD
ANC
ROE
ELL
RAY
BUC
ORA
UMB
SUA
LOL
GES
APE + P + L >> APPLE
BAE + R + K >> BRAKE
BOD + X + E >> BOXED
ANC + M + I >> MANIC
ROE + F + Z >> FROZE
ELL + D + W >> DWELL
RAY + G + V >> GRAVY
BUC + N + H >> BUNCH
ORA + C + B >> COBRA
UMB + J + O >> JUMBO
SUA + Q + T >> SQUAT
LOL + Y + A >> LOYAL
GES + U + S >> GUESS
Puzzle 4
Hidden in the grid below are 6 hidden animals, once you have crossed of the hidden animals, you should be left with seven letters, which spell another animal.
The letters are hidden in sequence using the move of a chess knight.
For example, if the first letter of one of the animals was the topright F, then the second letter could only be either F or A.
The hidden animals were leopard, elephant, antelope, giraffe, kangaroo, goat:
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