Answer to brain teaser #18
1. head
2. toe
3. arm
4. hand
5. nose
6. knee
7. mouth
8. finger
brain teaser #19
Felipe's school is hosting a math competition against other schools in the same district. Each school can only allow 10 students to compete. Felipe and his classmates are taking tests to determine the 10 best math students to send. Felipe did well, but tied with John Roy for the last spot. His teacher decided to set-up a one-problem challenge, whoever got it right the fastest would win.
Knowing that "H" is equal to 10, and T is half of M, how could MATH be 42, TEAM be 40, and MEET be 37?
Wednesday, August 1, 2007
Wednesday, July 18, 2007
Answer to brain teaser #17, brain teaser#18
Answer to brain teaser #17
The answer is (A). Since it must happen, the probability is actually 1 (100%).
Explanation: Firstly, consider 2 men, one starting from the top of the mountain and hiking down while the other starts at the bottom and hikes up. At some time in the day, they will cross over. In other words they will be at the same place at the same time of day.
Now consider our man who has walked up on one day and begins the descent the next day. Imagine there is someone (a second person) shadowing his exact movements from the day before. When he meets his shadower (it must happen) it will be the exact place that he was the day before, and of course they are both at this spot at the same time.
Contrary to our common sense, which seems to say that this is an extremely unlikely event, it is a certainty.
NOTE: There is one unlikely event here, and that is that he will notice the time when he is at the correct location on both days, but that was not what the question asked.
Brain teaser#18
A part of the body is hidden in each of the following sentences. The first sentence contains "head." Can you find the rest?
1. The ad is for Monday's sale.
2. The tour group can go to either country.
3. My car makes funny noises sometimes.
4. Sarah and Tony are getting married.
5. That casino seems shady.
6. Can't you see that Hank needs help?
7. The sea is so calm out here.
8. Would you like to go surfing, Erin?
The answer is (A). Since it must happen, the probability is actually 1 (100%).
Explanation: Firstly, consider 2 men, one starting from the top of the mountain and hiking down while the other starts at the bottom and hikes up. At some time in the day, they will cross over. In other words they will be at the same place at the same time of day.
Now consider our man who has walked up on one day and begins the descent the next day. Imagine there is someone (a second person) shadowing his exact movements from the day before. When he meets his shadower (it must happen) it will be the exact place that he was the day before, and of course they are both at this spot at the same time.
Contrary to our common sense, which seems to say that this is an extremely unlikely event, it is a certainty.
NOTE: There is one unlikely event here, and that is that he will notice the time when he is at the correct location on both days, but that was not what the question asked.
Brain teaser#18
A part of the body is hidden in each of the following sentences. The first sentence contains "head." Can you find the rest?
1. The ad is for Monday's sale.
2. The tour group can go to either country.
3. My car makes funny noises sometimes.
4. Sarah and Tony are getting married.
5. That casino seems shady.
6. Can't you see that Hank needs help?
7. The sea is so calm out here.
8. Would you like to go surfing, Erin?
Wednesday, July 4, 2007
Answer to brain teaser #16, brain teaser #17
Answer to brain teaser #16
The judge then said, "Merchant, you stated that the purse you lost contained 200 pieces of gold. Well, that's a considerable loss, but the purse this beggar found had only 100 pieces of gold. Therefore, it couldn't be the one you lost." With that, the judge gave the purse with 100 pieces of gold to the beggar, and told the merchant that he did not have to pay a reward.
There might just be a leather bag out there somewhere still with 200 pieces of gold in it, but don't ask the merchant, the beggar, or me.
Brain teaser #17
A hiker climbs all day up a steep mountain path and arrives at the mountain top where he camps overnight. The next day he begins the descent down the same trail to the bottom of the mountain when suddenly he looks at his watch and exclaims, "That is amazing! I was at this very same spot at exactly the same time of day yesterday on my way up."
What is the probability that a hiker will be at exactly the same spot on the mountain at the same time of day on his return trip, as he was on the previous day's hike up the mountain?
Is the probability closest to (A) 99% or (B) 50% or (C) 0.1% ?
Wednesday, June 20, 2007
answer to brain teaser #15, brain teaser #16
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?
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 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?
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