1. Three friends rented a car for a week and divided the cost equally. What was the total cost of renting the car?
I. If the three friends had kept the car for a second week, they could have obtained the two-week rate, which was 1.5 times the cost of a one-week rental.
II. If a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15.
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
2. To fill an order on schedule, a manufacturer had to produce 1,000 tools per day for n days. What is the value of n?
I. Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days.
II. Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule.
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
3. Is x < y?
I. 2x < 3y
II. xy > 0
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
4. In the xy-plane, at what two points does the graph of y=(x+a)(x+b) intersect the axis?
I. a + b = -1
II. The graph intersects the y-axis at (0, -6)
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
I. If the three friends had kept the car for a second week, they could have obtained the two-week rate, which was 1.5 times the cost of a one-week rental.
II. If a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15.
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
2. To fill an order on schedule, a manufacturer had to produce 1,000 tools per day for n days. What is the value of n?
I. Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days.
II. Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule.
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
3. Is x < y?
I. 2x < 3y
II. xy > 0
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
4. In the xy-plane, at what two points does the graph of y=(x+a)(x+b) intersect the axis?
I. a + b = -1
II. The graph intersects the y-axis at (0, -6)
A. Statement I alone is sufficient, but statement II alone is not sufficient.
B. Statement II alone is sufficient, but statement I alone is not sufficient.
C. Both statements together are sufficient, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
E. Statements I and II together are not sufficient.
