Tuesday, May 30, 2006

Simple logic

Nick, Sean and Rhonda went shopping together for music on Saturday and Sunday. The CDs they purchased are either jazz or rock. When they visit the store, each person will purchase one (and one only) CD.

1) Either Sean or Rhonda will pick rock, but not both of them.
2) If Sean picks rock, Nick picks jazz
3) Nick and Rhonda do not pick jazz.

Which one of the three purchased a jazz CD on Saturday and a rock CD on Sunday?

Monday, May 29, 2006

Who won?

8 friends decided to play in a pool tournament. They played a single elimination tournament, with three rounds (the first round, second round, and finals). Using the clues below can you determine who beat whom in each round?

Boys: Jack, Jamie, Jim, Roger, Tommy

Girls: Jessica, Renee, Tina

Clues:

1. No one ever played against someone else with the same first name initial.

2. The four people who advanced to the second round were Renee, the person who beat Tina in the first round, the loser of the final match, and the man who played Jessica in the first round.

3. 3 games of the first round, and 1 game of the second round were played by two people of the opposite sex.

4. Jack only played against a man one time in the tournament, and Roger played against a man in every round he played in.

5. Renee played against Jack at some point in the tournament.

6. The two people who played in the final round were the winner, and the man who beat Tommy in the 2nd round.

7. Jim always played against a man in the tournament.

8. Jessica did not play against the eventual champion.

Friday, May 26, 2006

Squared

Imagine, if you would, that you have 16 toothpicks and you arrange them as shown in the picture below. Moving only one toothpick can you turn the five squares into six?



BTW, Do you know of any good brain teasers, riddles, puzzles, etc.. that I could put up here? I have over 250 'questions' here so far and I would love it if you could contribute some of your own.

Thursday, May 25, 2006

Going to the Orchard

The local orchard has a strange pricing structure. Each bag holds seven apples for which they charge five cents. If you want an eighth apple, you get charged 15 cents. So, if you want to buy 23 apples, you would have to pay 15 cents for three bags and 30 cents for the remaining two for a total of 45 cents.

My question is which costs more: 10 apples, 30 apples or 50 apples?

There's no real puzzle or hard math here, but the answer may surprise you.

Wednesday, May 24, 2006

Move me

A sundial is a timepiece that has the fewest number of moving parts. Which timepiece has the most moving parts?

Tuesday, May 23, 2006

What's missing?

PALOO
YDESDA
DENBU
PPIZZ
ZEWALS

Two letters at the front, two at the end. Can you figure out these words? There is a theme, here, so if you get one, it may make the rest easier.

Monday, May 22, 2006

Full House in Yahtzee

The game of Yahtzee is played with five dice. On the first turn, a player rolls all five dice, and then may decide to put aside any of the dice before rolling again. Each player has a maximum of three rolls to try to get a favorable combination of dice.

If a player rolls two 2s and two 4s on his/her first roll, and keeps all four of these dice aside, what is the probability of getting a full house in one of his/her next two rolls? In other words, what is the probability of getting either a 2 or a 4 in one of the next two rolls?



I haven't done a good stats problem in a while....

Friday, May 19, 2006

Spoonerism

A spoonerism is a pair of words that can have their initial sounds switched to form new words. The pairs need only sound the same, not necessarily be spelled the same (power saw & sour paw, horse cart & coarse heart). There may sometimes be one or two connecting words (kick the stone & stick the cone, king of the rats & ring of the cats). Given the following definitions, what are the spoonerisms?

1) spoiled Neanderthal child & courageous cougar
2) child of a sorceress & liquid in a trench
3) milk and cheese & fops who are imaginary beings with magical powers
4) fondle feathers & Amsterdam

Thursday, May 18, 2006

Wednesday, May 17, 2006

letter me

My first three letters are a term for golf,
While my second, third, and fourth are drawings.
My first four are less than a whole,
And all of me is a celebration.

What am I?

Tuesday, May 16, 2006

Are you a cat person?

Scientists have proven that cats have more hair on one side then their other side. Some people believe that this is because when cats lay on their side they need insulation from the cold on the floor or ground. Which side of a cat has more hair?

Monday, May 15, 2006

A horse with no name

A horse travels the same distance every day.

Oddly, two of its legs travel 30 miles each day and the other two legs travel nearly 31 miles.

It would seem that two of the horse's legs must be one mile ahead of the other two legs, but of course this can't be true.

Since the horse is normal, how is this situation possible?

Friday, May 12, 2006

I did it 'My Way'

Allen, Bruce, Claire, Donna, and Emma were the top five finishers in their school's talent contest. They finished up filling, in no particular order, 1st, 2nd, 3rd, 4th, and 5th places. Oddly enough, the children came from, in no particular order, 1st, 2nd, 3rd, 4th, and 5th grades! In another startling coincidence, they all performed to the song "My Way" but they all did something different to the music. They either sang, tap-danced, hummed, yodelled, or whistled.

1. None of the numbers in the order of finish were exactly the same as the grade numbers.
2. Claire finished in front of Allen but behind the singer, and Donna, and the tap-dancer too, but those last three people are not necessarily in any particular order.
3. Emma finished behind Bruce but ahead of Donna.
4. The singer was in 3rd grade and the tap dancer was in 1st grade.
5. The child that was the hummer deserved to finish in last place and did finish there.
6. The yodeller was in 4th grade.

Thursday, May 11, 2006

Dressed to the Nines

How do you six nines to equal exactly 100? You can use addition, division, decimals, etc... just no other digits.

Wednesday, May 10, 2006

Arrange the letters

Place the alphabets A to I into the 3 x 3 box. E is to the right of C. A is to the right of G which is above B, which is to the left of F. I is above D which is to the left of G.

In case it isn't clear, your solution should look like:
A B C
D E F
G H I

But, of course, not in that order.

Tuesday, May 09, 2006

Who, what, when?

A family medical practice has four doctors that work during the day (Dr. Karp, Dr. Moore, Dr. Conwit, and Dr. Nguyen). The computer somehow mixed up the records for some of the appointments (10:10 a.m., 11:05 a.m., 10:05 a.m., and 11:30 a.m.). The nurse who is trying to fix the records knows that Nathan, Michael, Jose, and Matthew made the appointments. The patients have already been to their doctor a different number of times (zero, one, two, and three).

Help the nurse by figuring out which doctor each patient is going to see, the number of times they have already seen the doctor, and the time of their appointment.

1. Dr. Conwit read in his charts that his patient has previously seen him three times.

2. Dr. Karp did not schedule any appointments before 11:00 a.m.

3. The person who has an appointment at 10:05 a.m. has already been to the same doctor, however the patient is not the one who has been to the doctor either three or zero times.

4. Dr. Conwit did not schedule any appointments before 11:25 a.m.

5. Dr. Moore did not schedule any appointments before 9:55 a.m.

6. Dr. Moore read in his charts that his patient has previously seen him two times.

7. Dr. Nguyen did not schedule any appointments before 9:45 a.m.

8. Dr. Karp read in his charts that his patient has previously seen him one time.

9. Dr. Karp is not currently accepting new patients.

10. Jose's appointment is after Nathan's and before Michael's.

11. Michael's appointment is 1 hour and 20 minutes after Matthew's appointment.

12. Michael has been to the doctor either three or one time.

Monday, May 08, 2006

Its light

This is as light as a feather, yet no man can hold it for long.
What is it?

Saturday, May 06, 2006

How high can you go?

How high would you have to count before you would use the letter A in the English language spelling of a whole number.

Friday, May 05, 2006

What is it?

What is black when you buy it, red when you use it, and gray when you throw it away?

Thursday, May 04, 2006

Change for a dollar?

Divide $542 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $542, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?

Wednesday, May 03, 2006

Three days

Can you name three consecutive days without using the words Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, or Sunday?

Tuesday, May 02, 2006

Cigars are bad for you kids!

Because cigars cannot be entirely smoked, a hobo who collects cigar butts can make a cigar to smoke out of every 5 butts that he finds. Today, he has collected 25 cigar butts. How many cigars will he be able to smoke?

Monday, May 01, 2006

Fill 'er up

Fill in the missing numbers in the 4x4 grid such that the rows, columns and the two diagonals all add up to the same number:

32 19 .. 8
10 25 .. ..
9 .. .. ..
35 16 .. 11
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