Brain Breakers 1


The Eye Test

Calculation

The Long + Short Candlesticks

Who Did the Deed?

The Sign of Four

To Solutions


The Bucky Ball

Non Verbis Sed Rebus

Gibberish and Gobbledegook

Beastly Problems

Melons for Sale

Sharing Cows


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When I visited the optician I could see all the letters on the chart, but one. But I soon realised that the letters on the chart all had the same properties. That's why I could make an educated guess at the smallest one which I couldn't make out.


Can you tell which letter I guessed?



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Professor GijsjebertiX has an interesting calculation for you. Each of the letters opposite stands for a different digit (1234567890).





It's possible to make the subtraction correct! What is the three-digit number ABC?

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Once there were two candlesticks, a long one and a short one. They were lit at exactly the same time. The long one was 12 cm long and the short one was 5 cm shorter. The short one burns twice as slow as the long one.




How long is the short one when it is as long as the long one?

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I had been working all week to get a new puzzle page ready for publication on the Net. But when I looked on my desk the copy was nowhere to be found. I called the whole team together and asked each one of them if they had misplaced it. I knew each one had told one truth and one lie. And I knew for certain this time the butler didn't do it!



Who did it?

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This is what they told me...

Glynis Tommy did it. I wasn't the one.
Paridaan It was not Glynis. It was FrederiX.
FrederiX Laura didn't do it. Nick was the one.
Nick It was FrederiX. Laura is innocent.
Tom I like apples. I did not do it.
Lisa It was Paridaan. Glynis didn't do it.
Laura Nick did it. I don't like apples.

















When scientists discovered the hollow carbon-60 molecule, they called it Buckminsterfullerene, because it reminded them of the geodesic domes designed by Buckminster. The surface of this ball is built of pentagons and hexagons, and it certainly looks like a football.





Can you tell how many pentagons and hexagons there are on the surface of the ball?

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Before I really got to know my dear wife, on several occasions I sent her signs of my devotion. This is one of them. It's a picture in which you cannot see four trees.




Can you tell what I wrote?

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  1. A Glipper is as long as two Plons and half a Glipper. A Blumper is as long as two Glippers and half a Blumper. A Pinter is as long as two Blumpers and half a Pinter. How many Plons go in half a Pinter?

  2. The following facts are given:

    1. All Drones have the same shape and measurements.
    2. All green Slekkes have the same shape and measurements.
    3. Twenty Drones fill exactly one Muldruf.
    4. All Wallakkes contain green Slekkes.
    5. One green Slek is 10% bigger than a Drone.
    6. A Wallak is smaller than a Muldruf.

    If most of the Muldrufs and the Wallakkes contents are red, what is the largest possible (whole) number of green Slekkes in one Wallak?

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  1. A frog falls into a deep well and tries to climb out. Every day he climbs 10 metres, but slides back 5 metres. If the well is 50 metres deep, how long does it take the frog to get out?

  2. The little geese swim behind mother goose in a neat row: four little geese in front, four little geese behind and three little geese in the middle. However, there are less than half a dozen geese. Can you account for this?

  3. Crows were about to destroy the entire harvest in my orchard, so I fetched my rifle and took a shot at them. Of course, I didn't hit any, but half of them flew away. However, ten crows soon came back. Later that day I took another shot at them, and once more half flew away and later ten crows came back. That evening I took yet another shot at them, and again half flew away and ten came back. When I counted the crows I discovered - much to my horror - that there were as many as there were to start with. How many were there?

  4. Paridaan loves pets. He has got snakes, various birds, rabbits and also some cats. All together the entire collection totals 15 heads, 6 wings and 38 legs. How many snakes does Paridaan have?

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A market trader received two batches of 30 melons from two different suppliers, who were to pay him a commission after he had sold them on the open market. Supplier A, however, wished his 30 melons sold at 3 for one pound, while Supplier B wanted his 30 sold at 2 for one pound. Thus Supplier A would net 10 pounds and Supplier B would receive 15 pounds, a total of 25 pounds between the two.

This left the trader with a problem. If he put up the dearer melons first, he might have trouble starting any sales at all. On the other hand, if he started with the cheaper melons, obviously sales would stop once he switched to the dearer ones.

So he reasoned that he would mix the melons together and sell them at the rate of 5 melons for 2 pounds, which was equivalent to selling them at 3 for a pound and 2 for a pound. This he did, and he sold the melons very quickly. Unfortunately, and to his amazement, he netted only 24 pounds, and he had to rely on the readers of rec.puzzles to tell him what happened to the missing pound.

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  1. A farmer who had three sons was dying and called his family around him to share out his herd, and said: "To my first son I leave 1/2 of all my cows, to my second son I leave 1/3 of all my cows, and to my third son I leave 1/9 of all my cows." Soon thereafter the old man died. Now a problem occurred with splitting up the herd of 17 cows. The three sons were at a loss as to how to share their inheritance in the correct proportions without cutting up at least one cow.
    How did they share their inheritance in the correct proportions?

  2. A farmer who had three sons was dying and called his family around him to share out his herd, and said: "To my first son I leave 1/2 of all my cows, to my second son I leave 1/3 of all my cows, and to my third son I leave 1/8 of all my cows." Soon thereafter the old man died. Now a problem occurred with splitting up the herd of X cows. The three sons soon solved the problem, and shared their inheritance in the correct proportions. All they did was borrow 6 cows for a minute and returned them after the sharing. How many cows were there in the herd?.

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'Where's the best place to go for a pint?' asked the visitor to the village. He was standing in the High Street, one of the only four streets in the village, all of which met at a crossroads at right angles.

'Well, there are only four pubs in the village, one in each street,' answered a local. ' To reach the Blue Boar from the Griffin you must turn left, but to reach the Dragon from the Red Lion you have to turn right.'

Bemused, the visitor entered three of the pubs, he arrived at the crossroads three times during the tour, turning left the first time, going straight across the second, and turning right the third time. He spent the night at the Blue Boar.

Which pub stands in the High Street?

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