Problems 1 - 10
Old Are Mary's Kids?
Tom is from the census bureau and greets Mary at her door. The have the following conversation:
How old are Mary's kids and what is Mary's house number? (Yes, there is enough information here to solve the problem!)
Woman With Two Children
This is one of my all-time favorites:
What is the probability that her other child is a girl? (Assume every pregnancy has a 50/50 chance to be a boy or a girl.)
|3) The Path to Freedom
Kyle, Neal, and Grant find themselves trapped in a dark and cold dungeon. (HOW they arrived there is another story.) After a quick search the boys find three doors, the first one red, the second one blue, and the third one green.
Behind one of the doors is a path to freedom. Behind the other two doors, however, is an evil fire-breathing dragon. Opening a door to the dragon means almost certain death.
Given the fact that at LEAST ONE of the three statements on the three doors is true and at LEAST ONE of them is false, which door would lead the boys to safety?
|4) Who Had What For
Grant, Neal, and Kyle just finished
their lunch. One of the boys had a ham sandwich, another
a turkey sandwich and the third, a chicken sandwich. If
only one of the following four statements is true, who
had what for lunch?
|5) The Five Pens
A computer nerd likes to keep five pens in his shirt pocket. The pens are of five different colors and their caps, seen below, are of the same five colors but not a single cap is correctly situated on its colored pen! Given the visible arrangement below and the following clues, can you determine the order of each colored pen?
|6) The Jelly Bean Hunt
Fast Eddie and Slow
Sidney were involved in a jelly bean hunt on Easter
Sunday. Between the two of them, they found all 15
jelly beans pictured below. With the information given
can you determine who found the solid black
Fast Eddie found the pink-striped (#15) jelly bean.
Slow Sidney found a total of five jelly beans; two were striped, one was the solid red one and none were blue (2 and 10) or purple (4 and 12).
The sum of the face value of Fast Eddie's jelly beans totaled 75.
|7) The Three Playing
There are three playing cards face-up on the table.
From left to right, what are the three playing cards?
|8) The Money and the
"No," said Jennifer to her 14-year old son Kyle. "I do not feel inclined to increase your allowance by $10 per week. However, if you're willing to take a risk, I'll make you a sporting proposition."
"What is it this time, Mom?"
"I happen to have," Jennifer said, "ten crisp new one-dollar bills and ten crisp new ten-dollar bills. You may divide them any way you please into two sets. We'll put one set into hat A and the other set into hat B. Then I'll blindfold you. I'll mix the contents of each hat and place each one on the table. You pick either hat at random and then reach into the hat and withdraw one bill. If it's a ten you may keep it."
"And if it isn't?"
"You wash my van once a week for a month with no complaints."
Kyle agreed. How should he distribute the 20 bills into the two hats to maximize the probability of drawing a ten-dollar bill and what will that probability be?
|9) Saturday Night
Five friends (Bill, Tom, Tex, Joe, and Steve) decide to liven up their weekly Saturday night poker game. They shuffle and deal the highest 25 cards (all 9's through aces, plus one 8) and when all the cards are dealt, the hands look like this:
Steve, who is not Mr. Brown nor Mr. Martin, has the best hand showing.
Mr. Martin knows that only Mr. Hill could have a better hand than he does.
Mr. Pike has a flush.
Tex, who is not Mr. Smith, has the 4th best hand.
|Given the clues above, can you
|10) A MasterMind Puzzle
For those of you who are fortunate enough to be familar with MasterMind, here's a rather simple MasterMind puzzle for you. Solve the hidden code.
Note: Regular MasterMind conditions apply: