What Digit Does Each Letter Represent?

This is what you know:

1. Each letter represents a different digit from 1 to 9
2. The total of each row is 17.
3. (B × B) + B + F = A
4. C × F = EF (a 2-digit number, not their product)

A B C
D E F

What digit does each letter represent?

A = 7
B = 1
C = 9

D = 8
E = 4
F = 5

A + B + C = 17
D + E + F = 17
B2 + B + F = A
C × F = EF

To begin with, B has to be a 1 or 2 or else A wouldn’t be a single digit. Plug in B = 2, gives you 6 + F = A, meaning F and A can only be (1,7) or (3,9). To get 17, C would have to be 8 or 6, but those values don’t work for C × F = EF. So B must be 1.

2 + F = A means F and A can be (2,4), (3,5), (4,6), (5,7), (6,8) or (7,9). To get 17 on the top row, the only option that leaves C as a single digit is F = 5 and A = 7.

C × F = EF
9 × 5 = 45, so E = 4 and D = 8 to make the second row equal to 17.

Posted in Brain Teasers

Which Is The Odd Word Out?

Which of the following words is the odd one out?

Chocolate
Biscuit
Lemonade
Jelly
Cake

Lemonade. It’s the only drink in the list.

Posted in Brain Teasers

I Will Stomp You If You Get In My Way

I roam through the land hoping to rescue my love. I search high and low and will stomp on you if you get in my way. What am I?

Mario, from Super Mario Brothers video game by Nintendo. He roams the land searching for the princess and his primary method of getting rid of folks is to stomp on them.

Thanks to Rowan for figuring this out.

Posted in Riddles

Add More But Weigh Less

The 17 items in your shopping cart weigh 8 pounds. But when your daughter puts in a ball, poster board and yo-yo the shopping cart weighs less. How is that possible?

Your daughter had to get out of the cart to fit the remaining items.

Posted in Brain Teasers

A U2 Concert

U2 has a concert that starts in 17 minutes and they must all cross a bridge to get there. All four men begin on the same side of the bridge. You must help them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, must have the flashlight with them.

The flashlight must be walked back and forth. It cannot be thrown and other tricks like that are not needed to solve the problem. The solution is simply a matter of allocating resources in a certain order. Each band member walks at a different speed. A pair must walk together at the rate of the slower man’s pace:

Bono: 1 minute to cross
Edge: 2 minutes to cross
Adam: 5 minutes to cross
Larry: 10 minutes to cross

For example: if Bono and Larry walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Larry then returns with the flashlight, a total of 20 minutes have passed and you have failed the mission.

This is one of my favorite brain teasers and I want to give you the satisfaction of figuring it out on your own. If you’re having a hard time, here’s a hint: There is a valid answer that doesn’t require tricks like throwing the flashlight or shining it backwards or having some other means of moving the flashlight.

There’s an assumption people often make that keeps them from solving this. Two members cross the bridge each time, but neither one of the two who crossed necessarily need to return. Think about how that would be possible. If you’re still stuck, use objects to simulate their movements. Use whatever you have laying around – pens, paper, erasers – and move them back and forth. Good luck!

Posted in Brain Teasers

Make This Addition Problem Correct

This math problem is currently wrong.

11 + 66 + 88 + 96 = 294

How can you make it actually equal 294?

Flip the numbers upside down:

11 + 99 + 88 + 96 = 294

Posted in Brain Teasers

Even Seven

How can you make seven even?

Remove the letter “s”, turning it into the word “even”.

Posted in Brain Teasers

Represent The Alphabet

What word or expression does this represent?

ABCDEFGHIJKLMNOPQRSTVWXYZ

Missing you (U).

Posted in Brain Teasers

Who May Enter?

A green glass door admits only certain objects. Apples and balls are allowed, but pears and bats aren’t. What determines whether an item can enter?

All words with a repeated letter are allowed. Green glass door, apple and ball.

Posted in Brain Teasers

Right Behind You Creeps on the Ground

It’s right behind you,
And creeps on the ground,
It follows you home,
But does not make a sound.
Careful when you turn around.

What is it?

Your shadow.

Posted in Riddles