Usual Suspects

Four suspects; A, B, C and D have been arrested for possibly stealing the car of the chief of police. They were all interviewed personally by the chief, and were hooked up to the lie detector.

Each suspect gave three statements during the examinations, that are listed below:
Suspect A:
In high-school I was in the same class as suspect C.
Suspect B has no driving license.
The thief didn't know that it was the car of the chief of police.

Suspect B:
Suspect C is the guilty one.
Suspect A is not guilty.
I never sat behind the wheel of a car.

Suspect C:
I never met suspect A until today.
Suspect B is innocent.
Suspect D is the guilty one.

Suspect D:
Suspect C is innocent.
I didn't do it.
Suspect A is the guilty one.

Unfortunately, there was a lightning strike and the machine went haywire. After the recovery process, the machine only reported that exactly four of the twelve statements were true, but not which ones. And now all four suspects have gotten lawyers and are refusing to be re-interviewed.

Can you figure out which suspect did it?

There are four cards lying on the table. In order, the cards show: E V 2 7. Each card has a digit on one side and a letter on the other side.

Which cards should you turn around to test the following statement: "when there is a vowel on one side of a card, then there is an even digit on the other side"?

Only One True Answer

There is only one true answer.

Here are three answers:
A. Answer A
B. Answer A or B
C. Answer B or C

Which of the following statements are true?

1. Precisely one of these statements is untrue.
2. Precisely two of these statements are untrue.
3. Precisely three of these statements are untrue.
4. Precisely four of these statements are untrue.
5. Precisely five of these statements are untrue.
6. Precisely six of these statements are untrue.
7. Precisely seven of these statements are untrue.
8. Precisely eight of these statements are untrue.
9. Precisely nine of these statements are untrue.
10. Precisely ten of these statements are untrue.

How Good Are You at Adding

   ABCABA
   BBDCAA
   ABEABB
+ ABDBAA
--------------
AAFGBDH

Each letter represents one digit.  No two letters represent the same digit.

What's the sum equal to?

Socks Again

So, here you are, packing your socks up again in the dark. You would think you would have learned your lesson from the whole 'cat incident', but no. You still have 2 red, 4 yellow, 6 purple, 8 brown, 10 white, 12 green, 14 black, 16 blue, 18 grey, and 20 orange socks (see yesterdays post on sock packing). But on your last trip you were embarrassed to find you had ended up packing three pairs of orange socks. You certainly stood out in that crowd. And when your boss asked you on the third day if you even bothered to change your socks... well!

This time, you want to guarantee you have three different pairs, to make it clear, without having to say so, that yes... you do indeed change your socks once a day.

So how many socks do you have to pull out before you know for sure you have three different colored pairs?

Packing Socks in the Dark

Image via Wikipedia

In your bedroom you have a drawer with 2 red, 4 yellow, 6 purple, 8 brown, 10 white, 12 green, 14 black, 16 blue, 18 grey, and 20 orange socks. The socks are all jumbled together in the drawer. It is dark in your bedroom, your partner is still asleep and so you don't want to turn on the light to see. So you cannot see which sock is which in the dark.

You are packing for a trip that will take you three days, so you need three pairs of socks.

How many socks do you need to take out to be sure that you have at least three pairs of socks of the same color?

Lucky Or Not

Image by cliff1066™ via Flickr

You are a card shark, thrown in jail after you were caught dealing from the bottom of a deck. The sheriff, who has a reputation for being honest, has told you the swinging judge is on his way to town for the trial. You plead for him to let you out promising never to return to his territory again.

He says, "Sure, but let's see how lucky you truly are."

He shows you a special deck with 23 cards in it. One side of each cards has an X, while the other side has on O. He throws the cards behind you (you cannot turn around and look, yet). He tells you 14 of them have landed with the X side up (which means the other nine landed with the O up).

He pushes you into the cell and closes the door, leaving you without any light at all. Calling through the door, he sets the challenge. "Put the cards into two stacks, so that both stacks have the same number of X's facing up! I'll be back in one hour."

You can hear him laughing as he walks away.

You spend the next 55 minutes gathering the cards together. One had fallen behind the cot's leg, making it especially hard to find in the dark. You made sure not to flip any of them over so that there are still 14 cards with the X side up, assuming the sheriff wasn't lying to you about that.

You have five minutes left to meet the challenge. What do you do?

No One Volunteered to Put an Apple on Their Head

Image via Wikipedia

William is playing archery blindfolded. The first arrow he shoots, unfortunately misses the bulls eye. The second arrow misses the bulls eye by an even wider margin. William shoots his third and final arrow.

How likely is it William's third shot is also worse than his first shot?

Bring Out Your Dead!

What can bring back the dead,
make us cry,
make us laugh,
make us young,
born in an instant,
yet lasts a lifetime?

Boy Wakes Up

A man wakes up in the morning, but it is still dark out.  He lights 10 candles throughout his house as he gets ready to go out for the day.   A strong wind comes through the front window, blowing out two of the candles.  So he shuts the window.   He notices a wind blows through the back door, blowing out another candle, so he shuts the door.

He goes out for the day and comes back that evening.  How many candles does the man still have?

Can You Trust the Delivery Guy

Image via Wikipedia

An undercover cop was shocked by what he had overheard. The gang he had infiltrated was planning on murdering his old partner Jake. He knew the gang had bribed someone else at the police dept, but he didn't know who. He had to get a message out to his partner so they could meet.

Quickly, he wrote out a message and got it delivered. Since he didn't know who to trust at the department, it was in code.

At the dept, Jake opened up the letter and read: "Flame mate weighty soak shave. comedy debut stake scared.", glanced at the clock on the wall and realized he still had time to make the meet.

How did Jake know when and where to meet?

Seen But Not Heard

What can be seen even though you cannot see it?

Twist and Shout

You can spin, wheel and twist, but this thing can turn without moving.

What is it?

Need Want a Some Hint Help

2 9 3 1 8 4 3 6 5 7 ?

What's the next number in this sequence?