May 2017
List of passers
BCR of \$180,000 investment yielding \$60,000 annual benefits at 7% annually
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 |
Which pizza is a better buy: large with 16-inch-diameter for \$15 or medium with 8-inch-diameter for \$7.50?
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 |
Angle Between Two Zero-Based Vectors in XY-Plane
Problem
What is the angle between zero-based vectors ${\bf V_1} = (-\sqrt{3}, ~ 1)$ and ${\bf V_2} = (2\sqrt{3}, ~ 2)$ in an x-y coordinate system?
| A. 0° | C. 150° |
| B. 180° | D. 120° |
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Probability of Winning the Carnival Game of Tossing a Coin Into a Table
Problem
In a common carnival game, a player tosses a penny from a distance of about 5 feet onto the surface of a table ruled in 1-inch squares. If the penny (3/4 inch in diameter) falls entirely inside a square, the player receives 5 cents but does not get his penny back; otherwise he loses his penny. If the penny lands on the table, what is his chance to win?
| A. 5/16 | C. 9/256 |
| B. 1/16 | D. 3/128 |