The following questionsinvolve analytical reasoning—better known as “logic games”. These games give the most trouble to students who haven’t defined a specific method for solving these problems. The best way to attack logic games is to have a plan.When solving the problems in this set, try the following strategy:

1. Know the rules of the logic game and what each rule means.
2. Draw up an easy-to-reference diagram that includes all of the game’s information.
3. Look for common elements in the rules; you can combine these to make deductions.
4. Read the questions carefully; be sure you know what is being asked before you try to answer the question.

Answer questions 69 through 71 on the basis of the information below. The government of an island nation is in the process of deciding how to spend its limited income. It has $7 million left in its budget and eight programs to choose among. There is no provision in the constitution to have a surplus, and each program has requested the minimum amount they need; in other words, no program may be partially funded. The programs and their funding requests are:

Hurricane preparedness: $2.5 million
Harbor improvements: $1 million
School music program: $0.5 million
Senate office building remodeling: $1.5 million
Agricultural subsidy program: $2 million
National radio: $0.5 million
Small business loan program: $3 million
International airport: $4 million

69. If the legislature decides to fund the agricultural subsidy program, national radio, and the small business loan program, the only other single program that can be funded is

70. If the legislature decides to fund the agricultural subsidy program, national radio, and the small business loan program, what two other programs could they fund?

71. Senators from urban areas are very concerned about assuring that there will be funding for a new international airport. Senators from rural areas refuse to fund anything until money for agricultural subsidies is appropriated. If the legislature funds these two programs, on which of the following could they spend the rest of the money?