Answer to brain teaser #15
Dale sold the house on Main Street for $50,000 in July.
Katie sold the house on Oak Street for $125,000 in August.
Pete sold the house on Fourth Street for $95,000 in September.
Roy sold the house on First Street for $75,000 in November.
Ron sold the house on Water Street for $115,000 in December.
Brain teaser #16
A beggar found a leather purse that someone had dropped in the marketplace. Opening it, he discovered that it contained 100 pieces of gold. Then he heard a merchant shout, "A reward! A reward to the one who finds my leather purse!"
Being an honest man, the beggar came forward and handed the purse to the merchant saying, "Here is your purse. May I have the reward now?"
"Reward?" scoffed the merchant, greedily counting his gold. "Why the purse I dropped had 200 pieces of gold in it. You've already stolen more than the reward! Go away or I'll tell the police."
"I'm an honest man," said the beggar defiantly. "Let us take this matter to the court."
In court, the judge patiently listened to both sides of the story of a leather bag lost and a leather bag found. He counted the coins; 100 gold coins in total. Then said, "If all was said is true then it's clear that no reward is necessary."
How did the judge rule on this case?
Wednesday, June 20, 2007
Wednesday, June 6, 2007
Answer to brain teaser #14, brain teaser #15
Answer to brain teaser #14
Lightning & Thunder
Brain teaser #15
This week’s brain teaser is a logic grid. Your grid should look like this:
Here’s the teaser
Anytown USA Real Estate company recently reviewed their salespersons' most recent deals. While reviewing the documents, several papers were accidentally dropped into the paper shredder. Determine which salesperson sold which house for how much and when it sold. This is what the manager can remember:
1. Roy's sale closed before Ron's and after Dale's.
2. Pete's sale was neither the most nor least expensive and closed before Roy's.
3. Dale's sale on Main Street closed before Katie's sale on Oak Street.
4. The house on Water Street closed in December for $20,000 more than Pete's sale.
5. The house on First Street closed the day after Election Day for $20,000 less than Pete's sale.
6. Dale's & Katie's sales were the most and least expensive sales, in some order.
7. The houses on numbered streets were not the least expensive, and closed in September and November, in some order.
8. Pete's sale on Fourth Street closed after Katie's house sold for $125,000.
Answer to brain teaser #15
Dale sold the house on Main Street for $50,000 in July.
Katie sold the house on Oak Street for $125,000 in August.
Pete sold the house on Fourth Street for $95,000 in September.
Roy sold the house on First Street for $75,000 in November.
Ron sold the house on Water Street for $115,000 in December.
Lightning & Thunder
Brain teaser #15
This week’s brain teaser is a logic grid. Your grid should look like this:
Here’s the teaser
Anytown USA Real Estate company recently reviewed their salespersons' most recent deals. While reviewing the documents, several papers were accidentally dropped into the paper shredder. Determine which salesperson sold which house for how much and when it sold. This is what the manager can remember:
1. Roy's sale closed before Ron's and after Dale's.
2. Pete's sale was neither the most nor least expensive and closed before Roy's.
3. Dale's sale on Main Street closed before Katie's sale on Oak Street.
4. The house on Water Street closed in December for $20,000 more than Pete's sale.
5. The house on First Street closed the day after Election Day for $20,000 less than Pete's sale.
6. Dale's & Katie's sales were the most and least expensive sales, in some order.
7. The houses on numbered streets were not the least expensive, and closed in September and November, in some order.
8. Pete's sale on Fourth Street closed after Katie's house sold for $125,000.
Answer to brain teaser #15
Dale sold the house on Main Street for $50,000 in July.
Katie sold the house on Oak Street for $125,000 in August.
Pete sold the house on Fourth Street for $95,000 in September.
Roy sold the house on First Street for $75,000 in November.
Ron sold the house on Water Street for $115,000 in December.
Wednesday, May 23, 2007
answer to brain teaser#13, brain teaser#14
Answer to brain teaser #13
27 for Kurt, 30 for Patty, and 33 for Rod.
That's 30% for Kurt and 33-1/3% for Patty.
Method:
Let K, P, and R stand for the quantity each of them had. Let T be the total, K+P+R.
Now, since Kurt's percentage equals Patty's quantity, we get
100*K/T = P.
Similarly,
100*P/T = R plus a fraction. Now, look at the common factor, 100/T. Let's call this F, the factor relating one quantity to the next.
K*F = P and P*F = R (plus a fraction),
and K*F^2 = R (plus a fraction).
The clue about the phonograph leaves us looking for a triple with 33 Rnkfurters for Rod, with Patty getting 33-1/3% (one-third) of the total.
P = T/3
P = (K+P+33)/3 -- remember, R=33
Now, combine this with 100*K/T = P, and a bit of algebra gives us the required answer
Brain teaser#14
We are often dangerous
But to some we are fun
To others we are frightening
Causing them to run
We come together
Though we seem apart
You see me and you hear my brother
Who oft times makes little ones run to their mothers,
I am bright and my brother is loud
And it may seem that we come from a cloud, What are we?
27 for Kurt, 30 for Patty, and 33 for Rod.
That's 30% for Kurt and 33-1/3% for Patty.
Method:
Let K, P, and R stand for the quantity each of them had. Let T be the total, K+P+R.
Now, since Kurt's percentage equals Patty's quantity, we get
100*K/T = P.
Similarly,
100*P/T = R plus a fraction. Now, look at the common factor, 100/T. Let's call this F, the factor relating one quantity to the next.
K*F = P and P*F = R (plus a fraction),
and K*F^2 = R (plus a fraction).
The clue about the phonograph leaves us looking for a triple with 33 Rnkfurters for Rod, with Patty getting 33-1/3% (one-third) of the total.
P = T/3
P = (K+P+33)/3 -- remember, R=33
Now, combine this with 100*K/T = P, and a bit of algebra gives us the required answer
Brain teaser#14
We are often dangerous
But to some we are fun
To others we are frightening
Causing them to run
We come together
Though we seem apart
You see me and you hear my brother
Who oft times makes little ones run to their mothers,
I am bright and my brother is loud
And it may seem that we come from a cloud, What are we?
Wednesday, May 9, 2007
Answer to brain teaser #12, brain teaser#13
Answer to brain teaser #12
He looked the man right in the eye and said "get in."
Brain teaser #13
Kurt & Rod were hanging around the window at school munching the last of their Rnkfurers hoard. They spotted their neighbor lounging in the enclosed courtyard, looking hungry.
"Patty O'Furniture! Good to see you! Want a Rnkfurter?"
"A what?"
Kurt handed her the last he had. She bit in, and her face lit up like a newly-coined metaphor.
"Where can I get more of these?"
"Rod and I were about to go order some more. But there's a catch: we always order so one of us gets the quantity that the other has for a percentage." Patty's blank look bade him explain. "In our first batch, we got a total of 25 -- 20 for me, and 5 for Rod. I had 20, and he had 20% of the total."
"And you think you can do that for three people? You get my percentage, and I get Rod's? I don't think we can do it."
Rod had been thinking about it, and rattled off three numbers to her.
"Those aren't right. The last one isn't the right percentage; there's an added fraction."
"So? My mom says they're the same on her old phonograph speeds."
Patty looked at Kurt, each waiting for the other to give an opinion. Finally, she gestured at the empty wrapper in his hand.
"I'll round off a little for a week's supply of these. Let's go!"
Since Rnkfurters come in cases of 25, 50, and 100, they had to leave 10 with the storekeeper to make the numbers work, but they got their munchies.
How many did each student get this time?
He looked the man right in the eye and said "get in."
Brain teaser #13
Kurt & Rod were hanging around the window at school munching the last of their Rnkfurers hoard. They spotted their neighbor lounging in the enclosed courtyard, looking hungry.
"Patty O'Furniture! Good to see you! Want a Rnkfurter?"
"A what?"
Kurt handed her the last he had. She bit in, and her face lit up like a newly-coined metaphor.
"Where can I get more of these?"
"Rod and I were about to go order some more. But there's a catch: we always order so one of us gets the quantity that the other has for a percentage." Patty's blank look bade him explain. "In our first batch, we got a total of 25 -- 20 for me, and 5 for Rod. I had 20, and he had 20% of the total."
"And you think you can do that for three people? You get my percentage, and I get Rod's? I don't think we can do it."
Rod had been thinking about it, and rattled off three numbers to her.
"Those aren't right. The last one isn't the right percentage; there's an added fraction."
"So? My mom says they're the same on her old phonograph speeds."
Patty looked at Kurt, each waiting for the other to give an opinion. Finally, she gestured at the empty wrapper in his hand.
"I'll round off a little for a week's supply of these. Let's go!"
Since Rnkfurters come in cases of 25, 50, and 100, they had to leave 10 with the storekeeper to make the numbers work, but they got their munchies.
How many did each student get this time?
Friday, April 27, 2007
Answer to brain teaser #11, brain teaser #12
Answer to brain teaser #11
Mable gave up candy and started boxing to lose 20 pounds.
Bob gave up ice cream and took karate to lose 13 pounds.
Mike gave up pizza and started using the treadmill to lose 27 pounds.
April gave up potato chips and started walking to lose 34 pounds.
Sarah gave up chocolate and started doing yoga to lose 24 pounds.
Brain teaser #12
Two men working at a construction site were up for a challenge, and they were pretty mad at each other. Finally, at lunch break, they confronted one another. One man, obviously stronger, said "See that wheelbarrow? I'm willin' to bet $100 (that's all I have in my wallet here) that you can't wheel something to that cone and back that I can't do twice as far. Do you have a bet?"
The other man, too dignified to decline, shook his hand, but he had a plan formulating. He looked at the objects lying around: a pile of 400 bricks, a steel beam, the 10 men that had gathered around to watch, his pickup truck, a stack of ten bags of concrete mix, and then he finalized his plan.
"All right," he said, and revealed his object.
That night, the strong man went home thoroughly teased and $100 poorer. What did the other man choose?
Mable gave up candy and started boxing to lose 20 pounds.
Bob gave up ice cream and took karate to lose 13 pounds.
Mike gave up pizza and started using the treadmill to lose 27 pounds.
April gave up potato chips and started walking to lose 34 pounds.
Sarah gave up chocolate and started doing yoga to lose 24 pounds.
Brain teaser #12
Two men working at a construction site were up for a challenge, and they were pretty mad at each other. Finally, at lunch break, they confronted one another. One man, obviously stronger, said "See that wheelbarrow? I'm willin' to bet $100 (that's all I have in my wallet here) that you can't wheel something to that cone and back that I can't do twice as far. Do you have a bet?"
The other man, too dignified to decline, shook his hand, but he had a plan formulating. He looked at the objects lying around: a pile of 400 bricks, a steel beam, the 10 men that had gathered around to watch, his pickup truck, a stack of ten bags of concrete mix, and then he finalized his plan.
"All right," he said, and revealed his object.
That night, the strong man went home thoroughly teased and $100 poorer. What did the other man choose?
Sunday, April 15, 2007
answer to Brain teaser #10, brain Teaser #11
Answer to brain teaser #10
Kash simply moved the matchstick on the bottom left hand side to leave the number 9. The number 9 is a 'square' - it's 3 squared!
Note: this is a logic grid puzzle, to think back to when I explained about logic grids. In case you forgot, that is my third post (dated Sunday, February 18, 2007). All the information is in the
Brain teaser #11
Springtime is upon us, and that means that swimsuit weather is coming up quickly! April and four of her friends have all decided to go on a diet to see if they can lose a few unwanted pounds before they have to start trying on swimsuits. Each of the five friends has decided to give up their favorite snack food and to start exercising in order to lose weight. Each person wants to lose a different amount of weight. From the clues given, you will have to figure out how many pounds each person wants to lose, the snack food they are giving up, and the type of exercise they are adding in.
Friends: Mable, Bob, Mike, April, and Sarah
Snacks: Chocolate, Potato Chips, Ice Cream, Candy, and Pizza
Number of Pounds to Lose: 13, 20, 24, 27, and 34
Exercise: Treadmill, Yoga, Karate, Walking, and Boxing
1. Sarah is trying to lose more pounds than the one who has given up candy, but fewer pounds then the one who has begun using the treadmill.
2. Mable is trying to lose exactly 14 pounds fewer than the person walking.
3. Bob (who is not the one taking Yoga) has stopped eating his afternoon bowl of ice cream. Bob is trying to lose exactly 7 pounds fewer than the boxer.
4. Mike is trying to lose exactly 7 pounds fewer than the one who has given up Potato Chips.
5. The woman who has given up chocolate isn't the one trying to lose 27 pounds.
6. April knows that potato chips are a small sacrifice to make as she is trying to get into a bikini.
7. The woman boxer has decided to give up candy to reach her goal.
Kash simply moved the matchstick on the bottom left hand side to leave the number 9. The number 9 is a 'square' - it's 3 squared!
Note: this is a logic grid puzzle, to think back to when I explained about logic grids. In case you forgot, that is my third post (dated Sunday, February 18, 2007). All the information is in the
Brain teaser #11
Springtime is upon us, and that means that swimsuit weather is coming up quickly! April and four of her friends have all decided to go on a diet to see if they can lose a few unwanted pounds before they have to start trying on swimsuits. Each of the five friends has decided to give up their favorite snack food and to start exercising in order to lose weight. Each person wants to lose a different amount of weight. From the clues given, you will have to figure out how many pounds each person wants to lose, the snack food they are giving up, and the type of exercise they are adding in.
Friends: Mable, Bob, Mike, April, and Sarah
Snacks: Chocolate, Potato Chips, Ice Cream, Candy, and Pizza
Number of Pounds to Lose: 13, 20, 24, 27, and 34
Exercise: Treadmill, Yoga, Karate, Walking, and Boxing
1. Sarah is trying to lose more pounds than the one who has given up candy, but fewer pounds then the one who has begun using the treadmill.
2. Mable is trying to lose exactly 14 pounds fewer than the person walking.
3. Bob (who is not the one taking Yoga) has stopped eating his afternoon bowl of ice cream. Bob is trying to lose exactly 7 pounds fewer than the boxer.
4. Mike is trying to lose exactly 7 pounds fewer than the one who has given up Potato Chips.
5. The woman who has given up chocolate isn't the one trying to lose 27 pounds.
6. April knows that potato chips are a small sacrifice to make as she is trying to get into a bikini.
7. The woman boxer has decided to give up candy to reach her goal.
Wednesday, April 11, 2007
Answer to brain teaser #9, brain teaser #10
Answer to brain teaser #9
1) armadillo (arm-a-deal-o)
2) federal (fed-her-roll)
3) perspire (per-spy-ear)
4) silicone (seal-a-cone)
5) apparent (up-pair-rent)
6) concentration (con-sin-tray-shun)
brain teaser #10
Kashakomin (a.k.a Kash) was jogging in the park, as he did every morning. The morning had been quite uneventful. That was, until he ran past a man sitting on a bench.
On hearing Kash's footsteps, the man looked up. "How would you like to win a little money?" asked the man.
"What do you mean?" asked Kash.
"Just come over here," said the man.
Now, Kash, never liking to turn down an opportunity to win some more 'kash', walked over to the bench.
The man placed seven matchsticks on the bench to form an 8.
"Now, if you can move just one match, can you leave just one square? There can be no leftover lines."
"What? That's ridiculous," said Kash.
But after working on the puzzle for half an hour, Kash finally got the answer, and managed to win
1) armadillo (arm-a-deal-o)
2) federal (fed-her-roll)
3) perspire (per-spy-ear)
4) silicone (seal-a-cone)
5) apparent (up-pair-rent)
6) concentration (con-sin-tray-shun)
brain teaser #10
Kashakomin (a.k.a Kash) was jogging in the park, as he did every morning. The morning had been quite uneventful. That was, until he ran past a man sitting on a bench.
On hearing Kash's footsteps, the man looked up. "How would you like to win a little money?" asked the man.
"What do you mean?" asked Kash.
"Just come over here," said the man.
Now, Kash, never liking to turn down an opportunity to win some more 'kash', walked over to the bench.
The man placed seven matchsticks on the bench to form an 8.
"Now, if you can move just one match, can you leave just one square? There can be no leftover lines."
"What? That's ridiculous," said Kash.
But after working on the puzzle for half an hour, Kash finally got the answer, and managed to win
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