100 Guests in 99 Rooms

One hundred people entered a hotel that had 99 rooms, and each of them asked for their own room. In order to solve the problem, the bellboy did the following:

He asked the 100th guest to wait for a while with the 1st guest in room number 1, so that there were 2 guests inside. Then he took the 3rd guest to room number 2, the 4th guest to room number 3, and so on, until finally taking the 99th guest to room number 98. At the end he returned to room number 1 and took the 100th guest to room number 99, which was still vacant.

How could everybody get their own room?

The two people who were taken to room number 1 were guest 1 and guest 100. Thus, the 2nd guest ended up without a room.

Died on the Fourth of July

During a trivia night, the following question appeared:

“Among the first five US presidents, Washington, Adams, Jefferson, Madison, and Monroe, there were 3 who died on the fourth of July. Can you guess which ones?”

After nobody answered the question, the following hint was given:

“These three presidents were consecutive ones.”

Then, all contestants immediately managed to answer the question. Can you?

Because of the way the question was worded, it was clear that the fifth president, James Monroe, was one of them. Otherwise, the trivia question would have been “among the first four US presidents” instead of “among the first five”. Since the three presidents that died on fourth of July were consecutive ones, they were Jefferson, Madison, and Monroe.

27 Figures of Speech

Find 27 figures of speech in the illustration by Ella Baron below.

  1.    A piece of cake
  2.    An ace up one’s sleeve
  3.    Big cheese
  4.    Play one’s cards close to one’s chest
  5.    Cats got your tongue
  6.    Cherry on the cake
  7.    Crow over
  8.    Cut the chase
  9.    Don’t put all your eggs in one basket
  10.    Hit the nail on the head
  11.    Have (one’s) plate full
  12.    Heart on one’s sleeve
  13.    Holding a cat by the tail
  14.    In a nutshell
  15.    Kick the bucket
  16.    Make ends meet
  17.    Picture is worth a thousand words
  18.    Joker in the pack
  19.    Put a bug in someone’s ear
  20.    Put one’s best foot forward
  21.    Red herring
  22.    Silver spoon in your mouth
  23.    Spill the beans
  24.    Tie in knots
  25.    The shoe is on the other foot
  26.    Time flies
  27.    You can’t make an omelette without breaking egg

Limbs

Partition the grid into disjoint “creatures”​, according to the following rules:

  1. Each creature is defined as a shape of 4 connected branches that are each 1 cell wide.
  2. For each creature, one of the branches ends up with a HEAD (always clued) and the other three branches end up with LIMBS (whenever clued, their directions matter).
  3. A creature can never occupy a 2×2 region of cells and can never touch itself.

Examine the first example, then solve the other three puzzles.

The solutions are shown below.