Conundrums IX


241. Once two Turkish fashionable flies saw six English noodles to eat. Then the first fly said "Shucks, Ezra, NO TOMATOES!!! Then Tamar tasted the tantalising tidbit that tasted terribly tart.

What's remarkable about above paragraph?

 

Answer

19
242. Here's the problem. Arrange two of each of the digits 0 to 9 to form a 20-digit number. Your number may not begin with a zero. You are then scored on your number as follows:
Single digit cubes get NO points. For every two consecutive digits that form a perfect cube, score two points. For every three consecutive digits that form a cube number, score three points. A four-digit cube scores four points, and so on.

 

Answer

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243. Here's the problem. Arrange two of each of the digits 0 to 9 to form a 20-digit number. Your number may not begin with a zero. You are then scored on your number as follows:
Single digit squares get NO points. For every two consecutive digits that form a square, score two points. For every three consecutive digits that form a square number, score three points. A four-digit square scores four points, and so on.

 

Answer

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244. How do you pronounce this word: "GHOT"?

 

Answer

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245. Tony Likes aardvarks, but hates ant-eaters.
Tony Likes alligators, but hate crocodiles.
Tony Like buzzards, but hates vultures.
Tony Likes rabbits, but hates hares.
Does Tony Likes lambs or sheep?

 

Answer

19
246. If three ATB-members need one logic puzzle en and seven riddles to still their cerebral hunger. And if four ATB-members would be satisfied, if they had two logic puzzles and seven riddles, how many riddles would I need to post to equally fill the intellectual tummies of six ABT-members.

 

Answer

19
247. Assuming there's a Kevlar strap (incompressible, unstretchable) around the equator of a planet with a circomfence of 25,000 miles. Make a cut in the strap and insert 6 feet of strap material. How high does that raise the strap above the planet's surface? Could you step over it? Jump over it? Walk under it?

 

Answer

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248. I have added a number of consequtive housenumbers (not all houses) together and the result is 9808. Example: 94 + 95 + 96 + ...+ 120. Which house numbers did I add?

 

Answer

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249. If a farmer sells 75 of his chickens he can feed his chickens 20 days longer. If he buys 100 extra chickens, the food will be used up 15 days sooner. How many chickens has the farmer?

 

Answer

19
250. You have £100 to spend on farm animals. You must buy exactly 100 animals and spend exactly £100. You must have a combination of the following animals. Sheep, goats and cows. Cows are £10. Goats are £1. You get 8 cheep for £1. You cant just buy 100 goats, you need sheep, goats and cows for the farm.
How many of each animal will need to be purchased to fulfill the requirements?

 

Answer

19
251. "I'm off now," Ted told his partner. "Meeting three girl cousins at the airport." "Safety in numbers," remarked Steve. "What ages are they?" Ted smiled. "Oddly enough my phone number is the product of their ages, and they add up to just twice your age." "Product 6006, eh?" Steve was thinking. "I still can't get their ages for sure." "Well, they're all some years younger than I am," said Ted and that enabled his partner to get the three ages. What were they?

 

Answer

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252. Ten couples are seated on a round table, in such away that all couples are opposite of each other. Now the ladies stand up and shift a number of places and sit down again. Each lady now sits on the lap of a strange gentleman. How are the couples initially seated and how many places did the ladies shift?

 

Answer

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253. Four people are standing on the corners of imaginairy square with sides of 1000 metres.

Person A looks at person B
Person B looks at person C
Person C looks at person D
Person D looks at person A

All four walk with the same speed towards the person they're looking at and they all arrive at the center of the square. What is the distance each person has travelled?

 

Answer

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254. "Dad wants one-cent, two-cent, three-cent, five-cent, and ten-cent stamps. He said to get four each of two sorts and three each of the others, but I've forgotten which. He gave me exactly enough to buy them; just these dimes." How many stamps of each type does Dad want? A dime is worth ten cents.

 

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255. Mike is leaving from a small town in Maine and hiking through the wilderness to a post where he will spend the summer. The hike will take Mike six days. One man can only carry enough food and water for four days. Mike cannot take a mule or any other animal to haul his food and water, because there will be insufficient food and supplies for the animals at his destination. How can Mike make it to his destination?

 

Answer

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257. In a small country there are a number of railway stations. For every thinkable route you can buy a ticket (A->B and also B->A). After expansion of the railroad network there are a number of new stations build. Now there are 34 new tickets available. How many stations were there before the expansion?

 

Answer

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258. Six people stand in a circle and shake each others hands. Each person must shake everyone elses hand. Each person can only shake another hand once. How many handshakes are required so that everyone in the circle has shaken everyone elses hand once?

 

Answer

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260.

	     A
	     |\
	     | \
	     |  \
	     |   \
	     |    \
	     |     \ 15
	     |      \
	   E |_______\ B
	     |   3   |\
	     |       | \
	     |      3|  \
	     |_______|___\___________________ 
	    C        E'  D


A ladder, 15m long, stands at a wall, next to a 3m x 3m box. How high above ground is A (given CA > CD)?

 

Answer

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261. You have 100 cards (numbered 1 to 100) to put in corresponding numbered envelopes. You will take card #1, and seal it in a random envelope. After that, you will be more careful, and in turn for each envelope in sequence, search for the right envelope number. In case it has already been used, you will randomly pick a free envelope and use it. Whats the chance that you will be able to put the last (i.e. 100th) card in the envelope numbered 100?

 

Answer

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262. There are 8 small towns on the Boli island. They are interconnected by 'direct' roads: roads on Boli do neither cross nor branch outside the towns. How many of those connecting roads are there at most on Boli?

 

Answer

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263. A, B, C, D, E, F, and G are having an argument about which day of the week it is. They speak as follows:
A: The day after tomorrow is Wednesday.
B: No, it is Wednesday today.
C: You are both wrong; it is wednesday tomorrow.
D: Nonsense. Today is neither Monday, Tuesday, nor Wednesday.
E: I'm quite sure yesterday was Thursday.
F: No, tomorrow is Thursday.
G: All I know is that yesterday was not Saturday.
If only one of the remarks is true, what day of the week is it?

 

Answer

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264. A Red and A Black Knight stand at opposite ends of the arena. They simultaneously spur their horses and charge. They horse of the Red Knight is slower and so they meet 60m from the nearer end of the arena missing each other. They continue galopping at full speed and turn their horses at the end of the arena (which takes equal time for both of them). Charging again this time they meet 50m from the nearer end and the Red Knight manages to lift his opponent from the saddle. If both knights rode at constant speed, how long is the arena?

 

Answer

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264. If you don't count the numbers with leading zeros, there are 9*9*8*7*6*5*4*3*2*1 = 3265920 different numbers that contain each of the digits from 0 to 9 exactly once (for example, 9876543210, 1234567890, 1023456789, but not 0123456789, since it starts with "0"). Interestingly enough, all of the numbers are multiples of 9, all are multiples of 3, and all are multiples of 1 (of course). Many of them are multiples of 5 and 2. In your head (no calculators, computers, or writing things down) prove that *none* of these numbers are multiples of *all* ten digits. You have 60 seconds. Go! :-)

 

Answer

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265. In a sawing mill wooden bars with a square crossection are cut to pieces of length 5cm. The width (and height) y of the bars is always between 2cm and 4cm. Assume that y is evenly distributed in the given interval. The pieces are sorted in two groups A and B depending on y being smaller than 3cm or not.
The company sells the pieces as firewood, 50 pieces of group A for $0.30 and 50 pieces of group B for $0.60. Which wood is cheaper (per volume)?

 

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266. There is a set of linked traffic lights set for 60 kilometers an hour. That is, if you catch the first one at green and stay at a constant 60 you'll get greens all the way. For what other constant speeds can you pass through all the lights at green?

 

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267. Joe and his camel named Abel live on the edge of a 1,000 mile desert. Joe has grown 3,000 bananas that he now wishes to transport to market across the desert. Abel can carry a maximum of 1,000 bananas at a time. Also Abel needs to eat 1 banana for each mile he travels. How many bananas can get the man to market?

 

Answer

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268. There are 57 lions and a sheep in a cage. If a lion eats the sheep, the sheep will obviously die. But then, the lion would become lazy and will not be able to protect itself, thus becoming a pseudo-sheep itself (and could be killed by other 'healthy' lions). Assume that the lions are perfectly rational and calculating, ie., they don't want to die. Their priorities would be in the order:
1. Eat the sheep and live.
2. Not eat the sheep and live.
3. Eat the sheep and die.

 

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269. Below are thirteen of a collection of fourteen words. What is the fourteenth, and why? It is a common word, not at all unusual.

garbage   cantata    fiefdom   rations    dinkier
rapport   bovines    zoology   thieves    examine
quilted    cowhide   jewelry         ?

 

Answer

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270. Tom and two friends are digging identical holes in a field.
When Tom works with Ron, they dig 1 hole in 4 days.
When Tom works with Sam, they dig 1 hole in 3 days.
When Ron works with Sam, they dig 1 hole in 2 days.
When Tom works alone, how long does it take him to dig 1 hole?

 

Answer

19

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