# Name Age
1 Drew youngest
2 Blake next to youngest
3 Alex next to oldest
4 Hayden oldest
If we label the clues:
C1: Hayden was fourth.
C2: Alex was not the oldest, but was older than Drew, who was not second.
C3: The child who was next in age to the youngest, finished second.
C4: The child who finished in third place was older than the child who finished first.
C5: Blake was younger than the child who finished in third place.
Using C2 Alex was not the oldest.
Using C2 Drew was not the oldest.
Using C5 Blake was not the oldest.
Therefore Hayden was the oldest (and using C1 came fourth).
Using C4 the youngest didn't come third, and using C3 the youngest didn't come second.
Therefore the youngest came first.
Using C3 the next to youngest came second, leaving the next to oldest in third.
Using C2 since Drew wasn't second (nor fourth), and Alex was older than Drew, Drew must have come in first.
Using C5 Blake didn't come third, so came second.
Leaving Alex in third.
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.
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.
Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word.
Each letter is only used once, and no letter is repeated in the rows/cols/blocks.
Hint: Row 1's missing letter is A which makes Column 4 a little easier to think about.
Across: OVAL, WISH, TOMB, REAL
Down : VAST, BROW, LIME, HALO
Boxes : VOWS, HAIL, BRAT, MOLE
Note : Other anagrams of these words are OK as long as they don't change the answer grid.
There are three houses, and three utilities: water, gas and electricity.
Your task is to connect each house to all three utilities.
Therefore each house will have three lines and each utility will also have three lines.
However, you cannot cross lines! You cannot pass lines through houses or utilities. You cannot share lines.
Can you draw the 9 lines required?
Direct Link: www.brainbashers.com?ZKGX
Hint: Try starting with the water.
This puzzle is a classic one which has no solution in 2D.
However, if you place the items on a doughnut shape in 3D you can solve it.
In the picture below, the electricity is linked to House 3 by going over the top and re-entering through the hole in the middle.