The Train and the Tunnel

A train is a half mile long and is about to enter a 10 mile tunnel. If the train is traveling at 35mph, how long will it take for the entire train to make it through the tunnel, from the front of the train entering to the end of the train leaving the tunnel?

18 minutes.

Length of the train: 0.5 miles
Length of the tunnel: 10 miles
Total distance: 0.5 + 10 = 10.5 miles

Time = 10.5 miles / 35 mph = 0.3 hours = 18 minutes

Posted in Brain Teasers

What is the Chance That You’ll Be Correct?

If you choose an answer to this question at random, what is the chance that you will be correct?

a) 25%
b) 50%
c) 60%
d) 25%

This is becomes a self-referential paradox. Both A and D would be correct if there were four unique answers, but since A and D are the same answer, the chance that you would choose a correct answer is 50%, which makes B correct. But if there’s only one correct answer, the odds of choosing the correct one at random goes back to 25%. And around and round you go.

There’s a lot of discussion at Richard Wiseman’s blog and more at Lifehacker, where I first saw this.

Posted in Brain Teasers

From Diner to Menus

How can you go from DINER to MENUS, changing one letter at a time and forming another English word in each step?

DINER
MINER
MINES
MINUS
MENUS

Another option is:
DINER
DINES
MINES
MINUS
MENUS

Posted in Brain Teasers

Letter Missing From a Series

What letter is missing from this series?
B C D G P T V Z

The letter E. The series contains all of the letters that rhyme with bee (apologies to any English speakers who pronounce Z as zed instead of zee if this confused you).

Posted in Brain Teasers

Find the Three Mammals

The largest crowd at the flea market came looking for bargains.
I took off the peel and ate the banana.
He has no judgement, no sense altogether.

Find the three mammals in these statements.

1. Camel (CAME Looking)
2. Eland (peEL AND)
3. Seal (senSE ALtogether)

Posted in Brain Teasers

Shuns the Light of Day

What must be in the oven yet can not be baked?
Grows in the heat yet shuns the light of day?
What sinks in water but rises with air?
Looks like skin but is fine as hair?

Yeast.

Posted in Riddles
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Cats and Kittens But No Mittens

Six men are carrying boxes holding six cats and each cat has 6 kittens. How many legs are there in total?

1020. There are 6 men with 2 legs each, for a total of 12 legs.
There are 36 cats with 4 legs each for a total of 144 legs.
There are 216 kittens with 4 legs each for a total of 864 legs
12 + 144 + 864 = 1020.

Posted in Brain Teasers

Twice the Sum of Its Digits

What number is twice the sum of it’s digits?

18.

1 + 8 = 9
2 × 9 = 18

Posted in Brain Teasers

The Boat at High Tide

A boat has a ladder that has six rungs. Each rung is one foot apart. The bottom rung is one foot from the water. The tide rises at 12 inches every 15 minutes. High tide peaks in one hour.

When the tide is at its highest, how many rungs are under water?

None. The boat is floating on the water, so as the tide rises, so does the ladder.

Posted in Brain Teasers

A Perfect Counterfeit

A man can make perfect counterfeit bills. They look exactly like real ones, they’re made of exactly the same materials, made the same way, everything. So perfect, one could pretty much call them real bills. One day he successfully makes a perfect copy of another bill. However, he gets caught when he tries to use the copy. How is this possible?

As a counterfeiter, he had lots of counterfeit bills around and he accidentally used one of them as his original. So he made a perfect copy of a counterfeit bill.

Posted in Brain Teasers