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20 April
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This puzzle has three unrelated parts.
Show your work.
- In the US we often write dates like April 20, 2011, in the form 4-20-11.
In the Netherlands one prefers to write this date in the form 20-4-11.
If you don't know which one of the notations is used, how many dates in the
double-dash notation are ambiguous, each year?
- From a regular deck of 52 cards someone takes 3 cards and puts them face
down in a row on the table in front of us.
We are asked to name the 3 cards.
Luckily we have 4 spies.
The first spy whispers in our ear that he saw a king, and to the right of this
king is a queen.
The second spy whispers in our ear that she saw a queen, and to the left of this
queen is another queen.
The third spy whispers in our ear that he saw a heart, and to the left of this
heart is a spade.
The fourth spy whispers in our ear that she saw a spade, and to the right of
this spade is another spade.
Name the 3 cards.
- Two women mathematicians are sitting at a roadside cafe, talking about
family.
One mentions that she has 3 daughters the product of whose ages equals 36.
Remarkably, she mentions, the sum of their ages equals the number on the house
across the street.
The other replies that this is not enough information to find the ages of the 3 daughters.
True, says the one, but note that my oldest daughter has beautiful eyes.
Ah, says the other, but then I know your daughter's ages.
What are the ages of the 3 daughters?
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