Clocks in a Line
How many times a day do the hour and minute hands on a clock line up exactly with each other?
How many times a day do the hour and minute hands on a clock line up exactly with each other?
Posted by
Michael Doherty
at
7:31 AM
4
answers
Labels: brain teaser
You awake one morning to find the power out. Again. Of course, this isn't a problem since you have devised numerous methods of timing all your dishes to cesium precision using only two hour glasses. Unfortunately, two shipments of ingredients have just come in. One shipment is twelve boxes containing eggs, the other is twelve boxes containing flour. You need the flour right away, but without proper refrigeration the eggs will go bad. The eggs will be fine in their boxes, but if you open a box of eggs looking for the flour, those eggs will be wasted.
The boxes are indistinguishable by appearance- your supplier uses the same boxes for both. Also, the supplier's packing standards are not particularly high. Not only may the eggs break if your examination of the boxes involves high-speed collisions, but each box of the shipments do not have a constant quantity inside.
This is what you know:
The flour is all-purpose bleached flour
The eggs are Grade A Extra Large brown
The lightest box weighs 47.85 ounces
The heaviest box weighs 65.63 ounces
An empty box weighs 5.02 ounces
The kitchen scale is accurate to 1/100th of an ounce.
How can you safely choose a box containing flour without the risk of accidentally opening a box of eggs?
Posted by
Michael Doherty
at
10:09 AM
2
answers
Labels: logic puzzle
I found this one at Nick Yees Homepage.
In Rengefall, copper coins are minted with the portrait of the Queen on one side and the portrait of the King on the other side.
On this day, the half-crazed executioner gives the captured Talin one chance to avoid execution. The executioner brings Talin into an unlit room. He tells Talin that scattered on the table in front of him are one hundred copper coins of which twenty have the Queen side facing up while the rest have the King side facing up. If Talin can separate the coins into two piles, each with the same number of Queens facing up, he will release Talin. One other constraint is that Talin must accomplish this task in 5 minutes. If Talin fails, he will be beheaded.
It is impossible for Talin to see which side the coins are facing up in the darkness, and the contours of the portraits are too similar to decipher by touch. Nevertheless, Talin managed to separate the coins into two piles with the same number of Queens facing up in the time allotted. How did he accomplish this?
Posted by
Michael Doherty
at
9:50 AM
2
answers
Labels: logic puzzle
So, it seems like this has been an easy week, with just a couple of real puzzles. Let's end it with a rebus.
1.
Last night I caught the tail end of NOVA ScienceNow. During the show, they had a match game where a computer was trying to find the match against three bachelors. The computer asked each contestant about their perfect date. The first two were the host (a human) in different costumes who talked about sipping champagne or going for long walks on the beach.
The third contestant remarked the perfect date was June 23, 1912. The computer bachelorette immediately picked the third contestant (another computer, of course).
What is it about that date that makes it perfect for computers?
I, man, am regal - a German am I
Never odd or even
If I had a hi-fi
Madam, I'm Adam
Too hot or to hoot
No lemons, no melon
Too bad I hid a boot
Lisa Bonet ate no basil
Warsaw was raw
Was it a car or a cat I saw?
Rise to vote, sir
Do geese see god?
"Do nine men interprite?" "Nine men," I nod
Rats live on no evil star
Won't lovers revolt now?
Race fast, safe car
Pa's a sap
Ma is as selfish as I am
May a moody baby doom a yam?
Ah, Satan sees Natasha
No evil lived on
Lonely Tylenol
Not a banana baton
No "x" in "Nixon"
O, stone, be not so
O Geronimo, no minor ego
"Naomi," I moan
"A Toyota's a Toyota"
A dog, a panic in a pagoda
Oh no! Don Ho!
Nurse, I spy gypsies - run!
Senile felines
Now I see bees I won
UFO tofu
We panic in a pew
Oozy rat in a sanitary zoo
God! A red nugget! A fat egg under a dog!
Go hang a salami, I'm a lasagna hog
There's no real 'question' here, just something fun. Do you see it?
Posted by
Michael Doherty
at
9:54 AM
5
answers
Labels: Palindrome
When they say an army travels on its stomach, they mean you have to bring the food with you. I can't remember if I've asked this question before, so here you go... A little bit of logistics to wake you up on a Monday morning.
An explorer wishes to cross a barren desert that requires 6 days to cross, but one man can only carry enough food for 4 days. What is the fewest number of other men required to help carry enough food for him to cross?
Posted by
Michael Doherty
at
9:24 AM
4
answers
Labels: logic puzzle
It's Friday and time to end the work week. Let's relax and enjoy some rebus, shall we?
1.
Suppose there are three cards:
At least, this should be a little bit simpler than yesterdays problem.
A cloth bag contains a pool ball, which is known to be a solid ball. A second pool ball is chosen at random in such a way that it is equally likely to be a solid or a stripe ball. The ball is added to the bag, the bag is shaken, and a ball is drawn at random. This ball proves to be a solid. What is the probability that the ball remaining in the bag is also a solid?
A boy has four red marbles and eight blue marbles. He arranges his twelve marbles randomly, in a ring. What is the probability that no two red marbles are adjacent?
Player A has one more coin than player B. Both players throw all of their coins simultaneously and observe the number that come up heads. Assuming all the coins are fair, what is the probability that A obtains more heads than B?
We all know that resumes are written to provide short, succinct, professional histories for people applying for jobs. But, most people feel some need to dress up what they've done over time. How good are you at writing up a resume? How about reading them?
Could you, if you tried, come up with the more common form of the following phrases?
Posted by
Michael Doherty
at
9:25 AM
5
answers
Labels: brain teaser
More Rebus. Can you interpret the following words into common phrases?
1.
Each of the following words is missing its first and last letter. Lucky for you, the letter is the same (front and back). For example: _rus_ can be solved with the letter t: trust.
Can you solve each one?
1.
N N N N N N NA A A A A A AC C C C C C CWe haven't seen any rebus around here in a while. I hope you can start your Friday off right with a little light logic. In case you're not familiar, look at the words or sentences below and try to figure out what they represent. For instance:
What does a man stand up to do, a woman sit down to do and a dog lift its leg to do?
He who has it doesn't tell it. He who takes it doesn't know it. He who knows it doesn't want it. What is it?
What is round as a dishpan, deep as a tub, and still the oceans couldn't fill it up?
Poke your fingers in my eyes and I will open wide my jaws. Linen cloth, quills, or paper, my greedy lust devours them all.
I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!