Question 5.

If xy = 7 and x - y = 5, then x 2 y - xy 2 =

A. 2

B. 12

C. 24

D. 35

Question 6.

To celebrate a colleague's graduation, the m coworkers in an office agreed to contribute equally to a catered lunch that costs a total of y dollars. If p of the coworkers fail to contribute, which of the following represents the additional amount, in dollars, that each of the remaining coworkers must contribute to pay for the lunch?

A. y / m

B. y / (m-p)

C. py / (m-p)

D. py / ((m-p)m)

Question 7.

A heavy rope, 100 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high. How much work is done in pulling the rope to the top of the building?

A. 2500 foot-pounds

B. 1200 foot-pounds

C. 3000 foot-pounds

D. None of these

Question 8.

Mary, at age 35, decides to deposit $2000 per year in a bank, for the next 30 years. How much will she have at age 65 if her rate of return is assumed to be 10% per annum?

A. $300,000

B. $328,988

C. $250,000

D. None of these

Question 9.

Tickets must be purchased for the $75 grand prize. The cost of the ticket is $3, and 150 tickets will be sold. Determine John's expectation if he purchases one ticket.

A. $ -1.5

B. $ -2.5

C. $ -3.5

D. $ -4.5

Question 10.

A foreign student club lists as its members two Canadians, three Japanese, five Italians, and two Germans. Find the probability that all nationalities are represented if a committee of size 4 is selected at random.

A. 0.12

B. 0.4

C. 0.36

D. 0.05

I am taking a test in two weeks. I need help with these sample questions.