Problem
\$180,000 was spent on the project that yields annual benefit of \$60,000 for a period of 8 years without any salvage value. Determine the benefit-to-cost ratio considering the cost of money to be 7%.
| A. 1.99 | C. 1.57 |
| B. 2.21 | D. 2.63 |
Problem
Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of the better pizza?
| A. medium pizza: \$0.07/in.2 | C. medium pizza: \$0.15/in.2 |
| B. large pizza: \$0.07/in.2 | D. large pizza: \$0.15/in.2 |
Problem
Given the following equations:
$$ab = 1/8 \qquad ac = 3 \qquad bc = 6$$
Find the value of $a + b + c$.
| A. $12$ | C. $\dfrac{4}{51}$ |
| B. $\dfrac{7}{16}$ | D. $12.75$ |
Problem
Which of the following is the derivative with respect to x of $(x + 1)^3 - x^3$?
| A. 6x + 3 | C. 1 + 2x - 3x2 |
| B. 3x2 + 2x + 1 | D. 6x - 3 |
Problem
In a fund raising show, a group of philanthropists agreed that the first one to arrive would pay 25¢ to enter, and each later would pay twice as much as the preceding person. The total amount collected from all of them was \$262,143.75. How many of them paid?
Problem
How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600?
| A. 80 | C. 50 |
| B. 60 | D. 70 |
Problem
A disease is known to affect 1 in 10,000 people. A screening test for the disease shows a positive result for 99% of the people with the disease. The test also shows positive for 2% of people who do not have the disease. Find the probability that somebody is healthy given that they have positive test result?
| A. 99.51% | C. 46.32% |
| B. 12.32% | D. 78.36% |
Problem
Assume that a single depth charge has a probability of 1/2 of sinking a submarine, 1/4 of damage and 1/4 of missing. Assume also that two damaging explosions sink the sub. What is the probability that 4 depth charges will sink the sub?
Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).
| A. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{3}$ | C. $y = 5x^3 - 2x^2 + x - 118$ |
| B. $y = 5x^3 - 2x^2 + x - 31$ | D. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{83}{2}$ |
Problem
A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one. What is the probability of getting heads in a single throw?
| A. 0.168 | C. 0.681 |
| B. 0.618 | D. 0.816 |
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