Answers deny + e = needymail + c = claimexit + s = existgosh + t = ghostcity + h = itchynewt + i = twinetype + m = empty
The letters ECSTHIM are an anagram of CHEMIST.
During a recent music festival, four DJs entered the mixing contest.
Each wore a number, either 1, 2, 3 or 4 and their decks were different colours.
DJ Skinf Lint came first, and only one DJ wore the same number as the position he finished in. DJ Slam Dunk wore number 1. The DJ who wore number 2 had a red deck and DJ Jam Jar didn't have a yellow deck. The DJ who came last had a blue deck. DJ Park'n Ride beat DJ Slam Dunk. The DJ who wore number 1 had a green deck and the DJ who came second wore number 3.
Can you determine who came where, which number they wore and the colour of their deck?
At the local sweet shop, three particularly nice sweets are on special offer.
A Nobbler is over three times the price of a Sparkle. Six Sparkles are worth more than a Wibbler. A Nobbler, plus two Sparkles costs less than a Wibbler. A Sparkle, a Wibbler and a Nobbler together cost 40p.
Can you determine the price of each type of sweet?
Reasoning
By (3) a Nobbler, plus two Sparkles costs less than a Wibbler, therefore a Wibbler must be the most expensive sweet.
By (1) a Nobbler is over three times the price of a Sparkle, therefore a Sparkle must be the cheapest sweet.
So the order of sweets, from the least to most expensive, is Sparkle, Nobbler, Wibbler.
If a Sparkle was 1p, by (2) a Wibbler could only be up to 5p, by (4) a Nobbler would cost at least 34p, which is more than a Wibbler and isn't allowed as the Wibbler is the most expensive sweet.
If a Sparkle was 2p, by (2) a Wibbler could only be up to 11p, by (4) a Nobbler would cost at least 27p, which is more than a Wibbler and isn't allowed as the Wibbler is the most expensive sweet.
If a Sparkle was 3p, by (2) a Wibbler could only be up to 17p, by (4) a Nobbler would cost at least 20p, which is more than a Wibbler and isn't allowed as the Wibbler is the most expensive sweet.
So a Sparkle must be at least 4p.
If a Sparkle was 4p, by (1) a Nobbler must be at least 13p, by (4) a Wibbler would cost 23p. This combination matches all of the clues and is a possible solution.
If a Sparkle was 4p and a Nobbler 14p, by (4) a Wibbler would cost 22p. This would not satisfy (3). And if we increase the price of a Nobbler, (3) is never satisfied.
If a Sparkle was 5p, by (1) a Nobbler must be at least 16p, by (4) making a Wibbler at most 19p. This would not satisfy (3).
If we increase the price of a Sparkle or Nobbler further, (3) is will never be satisfied.
Therefore, the only solution we came across must be the correct one.
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Puzzle 200
Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury.
Mercury always starts filling from the bottom of a thermometer and not every thermometer has to contain mercury.
