Counterfeit Accounting

Early one morning Hal, the owner of a hardware store, sells a mailbox for $25 to Courtney that cost him $20 wholesale. Courtney pays with a $100 bill and Hal discovers he doesn’t have enough change. He runs to the jewelry shop next door, where Jack, the owner, gives him change in exchange for the $100. Later that afternoon, Jack discovers the $100 bill is a counterfeit and Hal pays him $100 to make it right.

What was Hal’s total loss?

The total loss was $95.
-$20 = The wholesale cost of the mailbox
$100 = The money from Jack
-$75 = The change paid to Courtney
-$100 = To pay Jack back
-$20 + $100 – $75 – $100 = -$95

It’s easy to think Hal lost $195 but that fails to account for the $100 used to make the change, which came from Jack, not Hal. Jack paid $100 in exchange for a worthless piece of paper, so the $100 was initially Jack’s loss. Hal had made a $5 profit until Jack’s discovery. If you guessed $100, that’s arguably correct, but not making $5 in profit isn’t a loss in the strictest sense of the word.

Posted in Brain Teasers

Quick Mental Math

Solve this math problem in your head. Divide 30 by a half, then add 10.

70. It’s not 25 because dividing by a half is the same as multiplying by 2.

Posted in Riddles

How Many Mangoes?

From a basket of mangoes when counted in twos there was one extra,
counted in threes there were two extra,
counted in fours there were three extra,
counted in fives there were four extra,
counted in sixes there were five extra,
but counted in sevens there were no extras.

At least how many mangoes were there in the basket?

119. The number has to be evenly divisible by seven for there to be no extras when counting in sevens, and it has to be odd in order for there to be one extra when counting by twos. It also can’t be evenly divisible by three through six. 119 is the first odd multiple of 7 that satisfies the requirements.

Posted in Brain Teasers

Brothers And Sisters Of Leopold

If Leopold had one more sister he would have twice as many sisters as brothers.
If he had one more brother he would have the same number of each.

How many brothers and sisters does Leopold have?

Three sisters and two brothers.

Posted in Brain Teasers

No New Digits

A six-digit number represented by ABCDEF (each letter represents a different number) can be multiplied by 2, 3, 4, 5, and 6 and yet no new digits appear in the result. As a matter of fact, all the digits are rotated. What is the number?

142857 (The first 6 digits of 1/7)

2 x 142857 = 285714
3 x 142857 = 428571
4 x 142857 = 571428
5 x 142857 = 714285
6 x 142857 = 857142

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CASE Rebus

CA   SE
CASE

Open and closed case.

Posted in Riddles
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The Secret Lair

A secret lair has a code to only allow members to enter. The person wanting to enter says a random number, then is told a number in response. In order to enter they must say the correct third number. Here are sequences that allowed entrance.

1 3 5
27 11 6
9 4 4

What’s the third number of this series?

16 7 ?

Five because s-e-v-e-n has 5 letters. The first number can be anything, the second number is the number of letters in the first number, and the third number is the number of letters in the second number.

Posted in Brain Teasers

Train From Chicago to LA

An electric train is traveling on a 2000-mile journey from Chicago, IL to Los Angeles, CA. It has 16 cars with a total of 320 passengers. The weather is cloudy and cool, with a warm front approaching from the south. Which direction will the steam blow?

There is no steam. It’s an electric train.

Posted in Brain Teasers

What is the secret to this?

What is the secret to this?

A1
C1
E3
H3

What comes next?

I2.

Each entry is a letter, in alphabetical order starting with A, followed by the number of occurrences of that letter in the phrase “What is the secret to this”.

There’s one ‘a’, thus we get A1. There are no ‘b’s so it doesn’t appear, then there’s one ‘c’, and so on.

Posted in Brain Teasers

Come For a Ride

I go up, but at the same time go down,
Up toward the sky and down toward the ground,
I’m present tense and past tense too,
Come for a ride, just me and you.

What am I?

A see-saw.

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