Difficulty – Easy

Easy brain teasers and puzzles

Missing Dollar Riddle

The missing dollar riddle is a classic brain teaser that can trip up even savvy puzzle solvers:

Three friends split the cost of a hotel room. They are charged $30, so each of them pays $10.

Later the hotel manager realized the room only cost $25 instead of $30. The manager brings $5 to reimburse the friends.

The manager finds it hard to split $5 three ways, so he gives the friends $1 each, and keeps $2 for himself.

But wait – each friend paid $9, for a total of $27, and the manager pocketed $2. That’s 27 + 2 = 29, whereas they originally handed over $30. Where did the missing dollar go?

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Game the Coin Flip Game

A small company is losing money and the boss is looking for ways to cut costs. The boss is a foolish gambler, so he offers two employees the choice of either taking flat 10% pay cut, or playing the following coin flip game for each paycheck:

  1. The employees each flip a fair coin – 50% heads and 50% tails; the boss will ensure they are not pulling any tricks.
  2. They can see their own outcome but not the outcome of the other employee’s coin flip. They must then guess the outcome of the other employee’s coin flip.
  3. If at least one of them guesses correctly, they get their full paycheck.
  4. If both of them guess incorrectly, they get nothing.

The two employees take some time to work out a strategy, and then confidently accept the offer to play the coin flip game.

What strategy did they come up with that made them confident the coin flip game will give them more money?

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Flipping Every N-th

There are 100 face-down cards. The first person that passes by flips over every card, the 2nd person that passes by flips over every 2nd card, and so forth – the n-th person that passes by flips over every n-th card. Before you know it, 100 people have passed by.

After all 100 people have passed by, which cards are face-up and which are face-down?


Fun fact, this was an actual brainteaser given to me in the first round interview for a hedge fund internship back in 2011.

Preparing for a brain teaser interview? Check out our ultimate guide to brain teaser interviews.

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Rigging a Vote

There are five candidates participating in an unusual election. There are four rounds of voting, and only two candidates participate in each round, with the winner moving on and the loser dropping out. This means first candidate 1 will run against candidate 2, then the winner will run against candidate 3, and so on, with the winner of the last round being elected.

Polling shows that Stephen Hawking is not very popular. There are five equal-sized groups in the voting population, and polling shows they prefer the candidates in the following order:

  • Group 1: Einstein > Newton > Maxwell > Hawking > Curie
  • Group 2: Newton > Curie > Maxwell > Einstein > Hawking
  • Group 3: Curie > Maxwell > Einstein > Newton > Hawking
  • Group 4: Einstein > Newton > Hawking > Curie > Maxwell
  • Group 5: Newton > Maxwell > Einstein > Hawking > Curie

But Hawking has a secret weapon – he gets to choose the order the candidates participate in each round.

Is there a way for Hawking to organize the rounds such that he wins?

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