ICE Special Agent Exam Prep - Question List

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26. In a school fund-raiser, 10 students in class A sold an average (arithmetic mean) of 4 boxes of cookies. In class B, 15 students sold an average of 9 boxes. What was the average number of boxes of cookies sold by the 25 students?
  1. 13/25
  2. 1
  3. 6-1/2
  4. 7
  5. 13-6/13
27. The remainder when a number n is divided by 7 is 2. Which of the following is the remainder when 2 n + 1 is divided by 7 ?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
28. What are all values of x such that x2 + 7 x + 6 = 0 ?
  1. -6 = x = -1
  2. -6 = x = 1
  3. 1 = x = 6
  4. x = -6 or x = -1
  5. x = 1 or x = 6
29. A particular flu vaccine is effective for 90 percent of the patients who receive it. What is the probability that it will be effective for both of the next two randomly selected patients?
  1. 0.54
  2. 0.63
  3. 0.72
  4. 0.81
  5. 0.90
30. The number of bacteria present in a laboratory sample after t days can be represented by 500(2 t). What is the initial number of bacteria present in this sample?
  1. 250
  2. 500
  3. 750
  4. 1,000
  5. 2,000

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