Brain Food Part 2 (Logic)

by **Saint Vincent's School** Sat Sep 26, 2009 3:49 pm

Here are logic puzzles
for you to think about. Hope you guys have fun figuring them out. As
always, solutions/answers would be revealed later on.

1.
Isaac and Albert were excitedly describing the result of the Third
Annual International Science Fair Extravaganza in Sweden. There were
three contestants, Louis, Rene, and Johannes. Isaac reported that Louis
won the fair, while Rene came in second. Albert, on the other hand,
reported that Johannes won the fair, while Louis came in second.

In
fact, neither Isaac nor Albert had given a correct report of the
results of the science fair. Each of them had given one correct
statement and one false statement. What was the actual placing of the
three contestants?

2. At a family reunion were the following
people: one grandfather, one grandmother, two fathers, two mothers,
four children, three grandchildren, one brother, two sisters, two sons,
two daughters, one father-in-law, one mother-in-law, and one
daughter-in-law. But not as many people attended as it sounds. How many
were there, and who were they?

3. 97 baseball teams participate
in an annual state tournament. The champion is chosen for this
tournament by the usual elimination scheme. That is, the 97 teams are
divided into pairs, and the two teams of each pair play against each
other. The loser of each pair is eliminated, and the remaining teams
are paired up again, etc. How many games must be played to determine a
champion?

4. Your sock drawer contains ten pairs of white socks
and ten pairs of black socks. If you're only allowed to take one sock
from the drawer at a time and you can't see what color sock you're
taking until you've taken it, how many socks do you have to take before
you're guaranteed to have at least one matching pair?

5. A man
is the owner of a winery who recently passed away. In his will, he left
21 barrels (seven of which are filled with wine, seven of which are
half full, and seven of which are empty) to his three sons. However,
the wine and barrels must be split so that each son has the same number
of full barrels, the same number of half-full barrels, and the same
number of empty barrels. Note that there are no measuring devices
handy. How can the barrels and wine be evenly divided?