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Post by Kimmy on Mar 3, 2010 10:30:36 GMT
66 different tickets.   |
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Post by Kimmy on Mar 3, 2010 10:33:22 GMT
Must dash got to buy some cakes for the party. Now where did I put my money?  Puzzle 104 You've been asked to buy the cakes for the school party and you've been given $100 to buy 100 cakes. Donuts cost 56c, chocolate eclairs cost $2.26 and iced buns cost 92c. How can you spend exactly all of the money on the 100 cakes? |
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Post by BC on Mar 4, 2010 1:02:56 GMT
Too tough for me.  |
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Post by Kimmy on Mar 4, 2010 19:51:04 GMT
15 donuts, 10 chocolate eclairs and 75 iced buns. 15 + 10 + 75 = 100 and 15*0.56 + 10*2.26 + 75*0.92 = 100.00. |
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Post by Kimmy on Mar 4, 2010 19:52:38 GMT
Fancy a trip round the world?  Puzzle 106 At the equator the radius of the earth is 6,378 km, so its circumference is almost exactly 40,000 km. Imagine we had a long rope which went around the equator, this would of course be 40,000 km long. If we now placed 1 metre sticks vertically all the way around and lay the rope on top of these sticks, i.e. the rope would be 1m higher all the way around, how much extra rope would we require? |
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Post by BC on Mar 4, 2010 23:14:42 GMT
Fancy a trip round the world? Puzzle 106 At the equator the radius of the earth is 6,378 km, so its circumference is almost exactly 40,000 km. Imagine we had a long rope which went around the equator, this would of course be 40,000 km long. If we now placed 1 metre sticks vertically all the way around and lay the rope on top of these sticks, i.e. the rope would be 1m higher all the way around, how much extra rope would we require? Well I managed to find the formulae quite quickly, so here goes: D x 3.14 = C where D = diameter and C = circumference D = 2R So... (2 x 6378) x 3.14 = 40,053.84 Add 1 metre to the radius... (2 x 6379) x 3.14 = 40,060.12 The difference between them is 6.28 metres[/color] BC  |
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Post by Kimmy on Mar 5, 2010 10:20:17 GMT
6.28 metres, a lot less than you might think! If we call the radius of the Earth (in metres), R. Then the difference between the two circumferences is 2*Pi*(R+1) - 2*Pi*R = 2*Pi metres = 6.28 metres. |
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Post by Kimmy on Mar 5, 2010 10:21:53 GMT
All that flying I need a Barley sugar.  Puzzle 108 Using the digits 1 to 9, create two numbers which when multiplied together give you the highest number. For example, 12345678 * 9 = 111111102, clearly there are higher products. What is the highest? |
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Post by BC on Mar 6, 2010 0:21:27 GMT
Puzzle 108 Using the digits 1 to 9, create two numbers which when multiplied together give you the highest number. For example, 12345678 * 9 = 111111102, clearly there are higher products. What is the highest? Here's my best guess, although I expect it is wrong: 9,654 87,321 842,996,934 BC 
And here's a question I was sent by email on Friday. Took me a few minutes to get it... If: 2 + 3 = 10 7 + 2 = 63 6 + 5 = 66 8 + 4 = 96 Then: 9 + 7 = |
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Post by Kimmy on Mar 6, 2010 10:34:09 GMT
Will update later. BC Please don't post answer yet.  |
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Post by BC on Mar 6, 2010 14:34:07 GMT
Will update later. BC Please don't post answer yet. OK, no problem. The person who sent it to me, sent it with "can you do this in 10 seconds", and he recons he did it in 13 seconds !! It took me a few minutes to get it.  Better start taking the Omega 3 tablets I guess. |
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Post by liz on Mar 6, 2010 20:10:52 GMT
2 + 3 = 10
7 + 2 = 63
6 + 5 = 66
8 + 4 = 96
9 + 7 = 144
Took me longer than 13 seconds!
Can't find any higher figure than yours on Q103 BC.
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Post by BC on Mar 7, 2010 14:51:31 GMT
2 + 3 = 10 7 + 2 = 63 6 + 5 = 66 8 + 4 = 96 9 + 7 = 144 Took me longer than 13 seconds!
I spent about 10 minutes on it, but there were just too many combinations, so if it is right, it will be more luck than judgement! BC
And this for KP, so you can still have a go... If 2 + 3 = 10 7 + 2 = 63 6 + 5 = 66 8 + 4 = 96 9 + 7 = 144 Then 10 + 5 = |
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Post by Kimmy on Mar 8, 2010 10:56:40 GMT
150?
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Post by BC on Mar 8, 2010 11:36:12 GMT
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Post by Kimmy on Mar 9, 2010 10:43:10 GMT
Puzzle 108 Using the digits 1 to 9, create two numbers which when multiplied together give you the highest number. For example, 12345678 * 9 = 111111102, clearly there are higher products. What is the highest? Here's my best guess, although I expect it is wrong: 9,654 87,321 842,996,934 BC
And here's a question I was sent by email on Friday. Took me a few minutes to get it... If: 2 + 3 = 10 7 + 2 = 63 6 + 5 = 66 8 + 4 = 96 Then: 9 + 7 = 843,973,902: 9642 * 87531. |
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Post by Kimmy on Mar 9, 2010 10:45:57 GMT
I always seem to be at the petrol station.  Puzzle 110 I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, so it was full with 25 gallons. Unfortunately, my petrol tank sprang a leak immediately and I only managed to drive 300 miles before I ran out of petrol. My car does 30 miles per gallon, how fast was I losing petrol through the hole? |
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Post by BC on Mar 10, 2010 9:40:00 GMT
I always seem to be at the petrol station. Puzzle 110 I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, so it was full with 25 gallons. Unfortunately, my petrol tank sprang a leak immediately and I only managed to drive 300 miles before I ran out of petrol. My car does 30 miles per gallon, how fast was I losing petrol through the hole? First, how many gallons per hour (gph) should it do? 25g @ 30 mpg = 750 miles 750 miles @ 60 mph = 12.5h 25g / 12.5h = 2 gphSecond, how many gph did it actually use? 300 miles @ 60 mph = 5h 25g / 5h = 5 gphFinally, what's the difference? 5 gph - 2 gph = 3 gallons per hourBC Still spinning |
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Post by Kimmy on Mar 11, 2010 9:19:02 GMT
3 gallons per hour. I drove 300 miles at 30 miles per gallon, so I used 10 gallons. Which means I lost the other 15 gallons. I drove the 300 miles at 60mph, which took me 5 hours. So I lost 15 gallons of petrol in 5 hours = 3 gallons per hour. |
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Post by Kimmy on Mar 11, 2010 9:21:07 GMT
Right a day on the farm.  Puzzle 112 If a farmer buys chicken feed for £5 per tonne, pig feed for £3 per tonne and cattle feed for 50p per tonne. How much of each would he have if he had 100 tonnes for £100, knowing he needs more chicken feed than pig feed? |
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Post by BC on Mar 12, 2010 9:58:28 GMT
Right a day on the farm. Puzzle 112 If a farmer buys chicken feed for £5 per tonne, pig feed for £3 per tonne and cattle feed for 50p per tonne. How much of each would he have if he had 100 tonnes for £100, knowing he needs more chicken feed than pig feed? Through good old trial and error, I got: Chicken feed 10 tonnes @ £5 = £50 Pig feed 2 tonnes @ £3 = £6 Cow feed 88 tonnes @ 0.50p = £44 £50 + £6 + £44 = £100 and 10 tonnes + 2 tonnes + 88 tonnes = 100 tonnes BC |
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Post by liz on Mar 13, 2010 8:17:33 GMT
Just reached your figures BC. |
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Post by Kimmy on Mar 13, 2010 10:51:46 GMT
10 tonnes of chicken feed, 2 tonnes of pig feed and 88 tonnes of cattle feed. |
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Post by Kimmy on Mar 13, 2010 10:53:53 GMT
Bit better weather so lets have a game of cricket.  Puzzle 113 A cricketer's average in his first 18 innings was 16.5 runs. After a further 8 innings, his average had increased to 32.5 runs. What was his average for the last 8 innings? |
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Post by Kimmy on Mar 14, 2010 11:26:25 GMT
His average was 68.5 runs. After the initial 18 innings, the average was 16.5, giving a total of 18 * 16.5 = 297 runs. There were 26 innings in total, with an average of 32.5 runs. Therefore an overall total of 26 * 32.5 = 845 runs. Therefore 845 - 297 = 548 runs were run in the final 8 innings, giving an average of 548 / 8 = 68.5 runs.
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Post by Kimmy on Mar 14, 2010 11:27:31 GMT
I have got that sinking feeling.  Puzzle 114 Many years ago, a cruise liner sank in the middle of the Atlantic Ocean. The survivors luckily landed on a remote desert island. There was enough food for the 135 people to last four weeks. Nine days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 36 people stranded on the island to now share the original rationed food. The food obviously had to be re-rationed, everyone was now on three-quarters of the original ration, so how many days in total would the food last for, from the day of the original sinking? |
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Post by BC on Mar 15, 2010 10:35:35 GMT
Puzzle 114 Many years ago, a cruise liner sank in the middle of the Atlantic Ocean. The survivors luckily landed on a remote desert island. There was enough food for the 135 people to last four weeks. Nine days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 36 people stranded on the island to now share the original rationed food. The food obviously had to be re-rationed, everyone was now on three-quarters of the original ration, so how many days in total would the food last for, from the day of the original sinking? What is the total quantity of food available? For ease, 4 units of food per person per day. 135 people x 4 units = 540 units of food per day x 28 days =15,120 units of food
How much is consumed and left after 9 days? 540 units x 9 days = 4,860 eaten leaving 10,260 units
Consumption reduces to 3 units per day and there are now 171 people = 513 units per day. 10,260 units of food remaining / 513 units = 20 days
20 days + the first 9 days = 29 daysBC |
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Post by Kimmy on Mar 16, 2010 9:40:40 GMT
29 days: originally there was enough food for 135 people for 28 days, which totals 3780 rations. After 9 days, 1215 rations had been eaten. Therefore there were now 2565 rations left for 171 people, which would last for another 20 days at three-quarter ration per person. Which is 29 days in total from the original sinking. |
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Post by Kimmy on Mar 16, 2010 9:41:59 GMT
Puzzle 117 Which is more probable, to throw: at least one six with 6 dice at least two sixes with 12 dice at least three sixes with 18 dice at least four sixes with 24 dice
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Post by BC on Mar 16, 2010 23:20:02 GMT
Puzzle 117 Which is more probable, to throw: at least one six with 6 dice at least two sixes with 12 dice at least three sixes with 18 dice at least four sixes with 24 dice I have no idea where to start with this one. My first impression is that there is an equal chance for all. But if that's wrong, I'll go for at least one six with 6 dice.
Not a good day today... Dunguib lost. Chelsea out of the CL.  And finally, baffled by the KP quiz. I'm off to bed. BC |
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