In a college, the science department has three disciplines.
In total, 280 students study chemistry, 254 students study
physics and 280 students study biology. 97 students study
both chemistry and physics, 138 students study both physics
and biology, 152 students study both chemistry and biology.
73 students study all three disciplines. Can you determine
how many students there are in the science department?
1) Five racing drivers, Alan, Bob, Chris, Don, and Eugene,
enter into a contest that consists of 6 races. The results
of all six races are listed below:
Bob always finishes ahead of Chris.
Alan finishes either first or last.
Eugene finishes either first or last.
There are no ties in any race.
Every driver finishes each race.
In each race, two points are awarded for a fifth place
finish, four points for fourth, six points for third, eight
points for second, and ten points for first.
If Eugene finishes two places ahead of Chris in the first
race, all of the following will be true EXCEPT:
a) Bob finishes ahead of Don.
b) Chris finishes two places ahead of Alan.
c) Don finishes fourth.
d) Bob finishes immediately behind Eugene.
e) Chris finishes ahead of Bob.
2) Five racing drivers, Alan, Bob, Chris, Don, and Eugene,
enter into a contest that consists of 6 races. The results
of all six races are listed below:
Bob always finishes ahead of Chris.
Alan finishes either first or last.
Eugene finishes either first or last.
There are no ties in any race.
Every driver finishes each race.
In each race, two points are awarded for a fifth place
finish, four points for fourth, six points for third, eight
points for second, and ten points for first.
If Don finishes third in the third race, which of the
following must be true of that race?
a) Alan finishes first.
b) Eugene finishes first.
c) Bob finishes second.
d) Chris finishes second.
e) Alan finishes fifth.
3) Five racing drivers, Alan, Bob, Chris, Don, and Eugene,
enter into a contest that consists of 6 races. The results
of all six races are listed below:
Bob always finishes ahead of Chris.
Alan finishes either first or last.
Eugene finishes either first or last.
There are no ties in any race.
Every driver finishes each race.
In each race, two points are awarded for a fifth place
finish, four points for fourth, six points for third, eight
points for second, and ten points for first.
If Eugene's total for the six races is 36 points, which of
the following must be true?
a) Bob's total is more than 36 points.
b) Chris's total is more than 36 points.
c) Alan's total is 36 points.
d) Don's total is less than 36 points.
e) Don's total is 36 points.
4) Five racing drivers, Alan, Bob, Chris, Don, and Eugene,
enter into a contest that consists of 6 races. The results
of all six races are listed below:
Bob always finishes ahead of Chris.
Alan finishes either first or last.
Eugene finishes either first or last.
There are no ties in any race.
Every driver finishes each race.
In each race, two points are awarded for a fifth place
finish, four points for fourth, six points for third, eight
points for second, and ten points for first.
If Alan finishes first only once, and Don finishes second
exactly twice, the lowest total number of points that Bob
can earn in the race is:
a) 32 points.
b) 38 points.
c) 40 points.
d) 44 points.
e) 48 points.
5) Five racing drivers, Alan, Bob, Chris, Don, and Eugene,
enter into a contest that consists of 6 races. The results
of all six races are listed below:
Bob always finishes ahead of Chris.
Alan finishes either first or last.
Eugene finishes either first or last.
There are no ties in any race.
Every driver finishes each race.
In each race, two points are awarded for a fifth place
finish, four points for fourth, six points for third, eight
points for second, and ten points for first.
If Alan finishes first in four races, which of the following
could earn a total of fewer than 26 points in the six races?
a) Bob only.
b) Chris only.
c) Don only.
d) Eugene of Chris.
e) Don or Chris.
6) Five racing drivers, Alan, Bob, Chris, Don, and Eugene,
enter into a contest that consists of 6 races. The results
of all six races are listed below:
Bob always finishes ahead of Chris.
Alan finishes either first or last.
Eugene finishes either first or last.
There are no ties in any race.
Every driver finishes each race.
In each race, two points are awarded for a fifth place
finish, four points for fourth, six points for third, eight
points for second, and ten points for first.
If Frank enters the third race and finishes behind Chris and
Don, which of the following must be true of that race?
a) Eugene finishes first.
b) Alan finishes sixth.
c) Don finishes second.
d) Frank finishes fifth.
e) Chris finishes third.
A car averages 55 mph for the first 4 hours of a trip and
averages 70 mph for each additional hour. The average speed
for the entire trip was 60 mph. How many hours long is the trip?
A new apartment complex purchased 60 toilets and 20 shower
heads. If the price of a toilet is three times the price of
a shower head, what percent of the total cost was the cost
of all the shower heads?
a campus radio station surveyed 190 students to determine
the type of music they liked.it revealed that 114 like
rock,50 liked jazz,41 liked classical music.14 liked rock
and jazz,15 liked rock and classical,11 liked classical and
jazz,5 liked all types of music.draw venn diagram n explain
how many
a) like rock only
b)like jazz but not rock?
c)like classical or jazz but not rock?
d)like classical and jazz but not rock?
e)like exactly one of the 3 types of music?
f)do not like any of the three types of music?
g)like at least 2 of the three types of music?
h)do not like either rock or jazz?
The owner of a hobby store needed to calculate the
percentage of customers who purchase wood glue. Upon
completing his survey, he noticed that 60% of the people
that entered his store purchased an item. Of those
customers, 15 percent purchased wood glue. What percent of
the people that entered the store purchased wood glue?
From 7:00 AM to 11:00 AM it rained 2.25 inches. At 11:00 AM
the rain increased to fall at a rate of 1.25 in. every two
hours. How many inches of rain landed on the ground by 5:00 PM?
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