Sunday Puzzle-46

Written by Administrator

Sunday, 21 July 2013

Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and international puzzle expert
Check out his new book "Mathematical Puzzles and Curiosities" on Amazon

The Witch's Pudding

Winnie the witch had a habit of lodging in people's broom closets where she would experiment with her vile concoctions. On one occasion she had five ingredients ready to put in a pudding. The volume of dishwater was one half of the cauldron volume, the brandy was one third, the snow was one quarter, the crushed pig's ear was one fifth and the sheep droppings was one sixth. The total volume of the second and third ingredients was less than half of the cauldron volume. The brandy was added later than the crushed pig's ear but earlier than the dish water. The snow was added two places after the sheep droppings. Of course the cauldron spilled over.

In what order were the ingredients added?

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Comments (3)

	1. Written by O_x on 06:05 22 èþëÿ 2013 ã.
	These are the order: 1. Sheep Droppings 2. Pig's ear 3. Snow 4. Brandy 5. Dishwater The total volume of the second and third ingredients was less than half of the cauldron volume. means... The 1st 2nd and 3rd has to be: Snow(1/4) Pig's ears(1/5) Sheep Droppings(1/6) because... (1/4 + 1/5 + 1/6) 1 Tadaaaaa! O_o

	2. Written by O_x on 06:34 22 èþëÿ 2013 ã.
	Actually... my first answer was particularly for.. The total volume of the first,second and third less than 1/2! But The total volume of the second and third ingredients was less than half of the cauldron volume doesnt say anything about the first... So, We have 4 possible pair of ingredients for 2nd and 3rd: (1/3 + 1/6) (1/4 + 1/5) (1/4 + 1/6) (1/5 + 1/6) out of those... I still get another correct answer that satisfies everything in the question: 1. Pig's ear 2. Brandy 3. Sheep droppings 4. Dishwater 5. Snow

	3. Written by O_x on 07:51 22 èþëÿ 2013 ã.
	hahahahahahahaa....! I was just kidding... :P I have the CORRECT answer now. We have 4 possible pair of ingredients for 2nd and 3rd: (1/3 + 1/6) (1/4 + 1/5) (1/4 + 1/6) (1/5 + 1/6) FOR(1/3 + 1/6): 1. Pig's ear 2. Brandy 3. Sheep droppings 4. Dishwater 5. Snow But 1/5 + 1/3 + 1/6 + 1/2 => 0.20 +0.33 +0.166+ 0.5 > 1 So, the cauldron is already full. There's no room for Snow. The order is not correct. Another possible order: FOR(1/4 + 1/5) 1. Sheep droppings 2. Pig's ear 3. Snow 4. Brandy 5. Dishwater This is actually the correct order since: 1/6 +1/5 +1/4 +1/3 ~ 0.96 5. Dishwater Gotcha!!... why u tricky lil....! u O_O

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Last Updated ( Sunday, 21 July 2013 )

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