Math/Logic Quiz
Wilson is tired of paying for clarinet
reeds. If he adopts a policy of playing only on rejected reeds from his
colleagues will
he be able to retire on the money he has saved if he invests it in
mutual bonds, yielding 8.7%, before he is fired from his
job? If not, calculate the probablitity of him ever working in a
professional symphony orchestra again!
Jethro has been playing the double bass
in a symphony orchestra for 12 years, three months and seven days. Each
day, his
inclination to practice decreases by the equation: (total days in the
orchestra) x 0.0076. Assuming he stopped practising
altogether four years, six months and three days ago, how long will it
be before he is completely unable to play the double
bass?
Wilma plays in the second violin
section, but specializes in making disparaging remarks about conductors
and other
musicians. The probability of her making a negative comment about any
given musician is 4 chances in 7, and for
conductors is 16 chances out of 17. If there are 103 musicians in the
orchestra and the orchestra sees 26 different
conductors each year, how many negative remarks does Wilma make in a
two-year period? How does this change if five of
the musicians are also conductors? What if six of the conductors are
also musicians?
Horace is the General Manager of an
important symphony orchestra. He tries to hear at least four concerts a
year. Assuming
that at each concert the orchestra plays a minimum of three pieces per
concert, what are the chances that Horace can avoid
hearing a single work by Mozart, Beethoven or Brahms in the next ten
years?
Betty plays in the viola section.
Despite her best efforts she is unable to play with the rest of the
orchestra and, on average,
plays 0.3528 seconds behind the rest of the viola section, which is
already 0.16485 seconds behind the rest of the orchestra.
If the orchestra is moving into a new concert hall with a reverberation
time of 2.7 seconds, will she be able to continue
playing this way undetected?
Ralph loves to drink coffee. Each week
he drinks three more cups of coffee than Harold, who drinks exactly one
third the
amount that the entire brass section consumes in beer. How much longer
is Ralph going to live?
Rosemary is unable to play in keys with
more than three sharps or flats without making an inordinate number of
mistakes.
Because her colleagues in the cello section are also struggling in
these passages she has so far been able to escape detection.
What is the total number of hours they would all have to practice to
play the complete works of Richard Strauss?
