Lying On Certain Days of the Week

Angel lies on Mondays, Tuesdays and Wednesdays but tells the truth the rest of the week.

Brenda lies on Thursdays, Fridays and Saturdays, but tells the truth every other day.

Angel says, “Yesterday I was lying.”

Brenda replies, “So was I.”

What day was it?

Thursday.

Putting the information in a table makes it easier to solve. We’ll use A for Angie, B for Brenda, T for truth and F (false) for lying.

 SMTWThFS
ATFFFTTT
BTTTTFFF

To begin with, there aren’t any days where both of them told the truth and lied the day before, so we know one of them must be lying.

So we have two options, either Angel is lying or Brenda is.

Option 1. Angel is lying.

In order for this to be the case, she needs to be lying today and telling the truth yesterday, so we need two days in a row with T F. And if Brenda is telling the truth, she would need two days with F T. That means we’re looking for two days that have

Angie:  T F
Brenda: F T

Option 2. Brenda is lying.

This is just the reverse of the above, so we need to find:

Angie:  F T
Brenda: T F

The only day that matches either of the two options is Thursday, and it’s option 2. Brenda is the liar.

Posted in Brain Teasers

Canaries in the Cage

I am the owner of a pet store. If I put in one canary per cage, I have one bird too many. If I put in two canaries per cage, I have one cage too many. How many cages and canaries do I have?

Four canaries and three cages.

If you put one canary in each cage, you have an extra bird without a cage. However, if you put two canaries in each cage then you have two canaries in the first cage, two canaries in the second cage and an extra cage.

Posted in Brain Teasers

Which Are True and Which Are False?

A. When a car is driven forwards the wheels rotate counter-clockwise.
B. If a clock is put forward 1 1/4 hours the minute hand moves through 450°
C. When a clock reads 4.10 the acute angle between the hands is exactly 60°

A. False – The near-side wheels rotate counter-clockwise, but the far-side wheels rotate clockwise.
B. True
C. False – The acute angle is a little more than 60° because by the time the minute hand reaches 10, the hour hand will have moved slightly past the 4.

Posted in Brain Teasers

Sometimes I Get Stronger From The Sun

I can help you have some fun,
Sometimes I get stronger from the sun,
If you never give me a break,
You will find I never wake,
I am optimistic on one side,
I can be short, fat, tall or wide,
Rectangle and cylinder are two of my shapes,
And I can even help you make video tapes,
Sometimes you must wait for me to get ready,
Just hold on for a few hours and be steady,
I can help you get around the mall,
Or help you make a telephone call.

What am I?

A battery. Games and other entertainment devices run on batteries. Batteries can be charged using solar power, which is from the sun. If you use a battery-powered device long enough, the battery will die. Batteries have a plus side and can be all shapes and sizes. They can power scooters and Segways commonly used in malls and your cell phone requires a battery to function.

Posted in Riddles

A Foot On Each Side

What has a foot on each side and one in the middle?

A yard stick.

Posted in Riddles

Move Your Digits

By moving one of the following digits, make the equation correct.

62 – 63 = 1

26 – 63 = 1
(26 = 2x2x2x2x2x2 = 64, ∴ 64 – 63 = 1)

Posted in Brain Teasers
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The Longest Pregnancy

A baby was born four years after its parents died in a car crash. How was this possible?

Amazingly, this actually happened. The parents died in a crash crash and their parents fought for the rights to the four frozen embryos left by their late children. After a surrogate pregnancy, the baby was born with DNA matching their deceased parents.

Posted in Brain Teasers

In A Dark Room with a Rope and a Pencil

Imagine you are in a dark room with a locked door. All you have with you is a rope and a pencil. You can hear the rain outside, but there
are no windows. How do you get out?

Stop imagining.

Posted in Riddles
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Sum of 22

Fill in numbers such that the sum of each 3-character row is 22 while the sum of all five numbers is 30.

a
bcd
e

The problem works out to a set of three equations:
b + c + d = 22
a + c + e = 22
a + b + c + d + e = 30

Solving for c = 14, leaving d = 8 – b and e = 8 – a. In other words, c must be 14, but the other two numbers just have to add up to 8. The requirement that they be unique rules out 4 + 4, so you’re left to choose from the following combations for b + d and a + e:
0 + 8
1 + 7
2 + 6
3 + 5

Posted in Brain Teasers

Special Two Letter Combinations

What do these three letter combinations have in common?

DE
HI
MN

Hint: These combinations don’t have it in common.

AK
IN
WY

They are the only three US state abbreviations whose two letters are next to each other in the alphabet.

DE – Delaware
HI – Hawaii
MN – Minnesota

Posted in Brain Teasers