How many integers from 1 to 900 inclusive have exactly 3 positive divisors?
A. 10 B. 14 C. 15 D. 29 E. 30答案 A
If n is any prime number greater than 2, which of the following CANNOT be a prime number?
What is the sum of all possible solutions to the equation: = + 1
A. -2 B. 2 C. 3 D. 5 E. 6答案 D
In the rectangular coordinate system, the point （3,1） is on the circle with center （0, -3）。 What is the area of the circle?
A. 5π B. 7π C. 10π D. 25π E. π√7答案 D
The company at which Mark is employed has 80 employees, each of whom has a different salary. Mark’s salary of $43,700 is the second-highest salary in the first quartile of the 80 salaries. If the company were to hire 8 new employees at salaries that are less than the lowest of the 80 salaries, what would Mark’s salary be with respect to the quartiles of the 88 salaries at the company, assuming no other changes in the salaries?
A. The fourth-highest salary in the first quartile
B. The highest salary in the first quartile
C. The second-lowest salary in the second quartile
D. The third-lowest salary in the second quartile
E. The fifth-lowest salary in the second quartile答案 E
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x + 3y = 60. Which of the following points lie inside region R? Indicate all such points.
A. （2, 18） B. （5, 12） C. （10, 7） D. （12, 3） E. （15, 2）答案 BD
For a sample of 210 households, one-third of the households do not have any pets, one-third of the households each have 1 pet, and the rest of the households each have 2 pets. Which of the following statistics for the sample are equal to 1? Indicate all such statistics.
A. The average （arithmetic mean） number of pets per household. B. The median number of pets per household. C. The range of the numbers of pets per household.答案 AB
The figure above shows the standard normal distribution, with mean 0 and standard deviation 1, including approximate percent of the distribution corresponding to the six regions shown. The random variable Y is normally distributed with a mean of 470, and the value Y = 340 is at the 15th percentile of the distribution. Of the following, which is the best estimate of the standard deviation of the distribution?
A. 125 B. 135 C. 145 D. 155 E. 165答案 A
Company A has twice as many employees as Company B, and the two companies have no employees in common. If 64 percent of the employees of Company A are women and 52 percent of the employees of Company B are women, what percent of all the employees of the two companies are women?答案 60
What is the cost, in cents, of using a certain fax machine to send n pages of a report if the total cost for sending the first k pages is r cents and the cost for sending each additional page is s cents? （Assume that n>k.）
In the figure above, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8. Then the perimeter of the shaded region is