ICE Special Agent Exam Prep - Question List

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11. Agent Y was asked to conduct a detailed interview with a suspect. After 2 hours, the agent had completed 4/9 of the interview. Continuing at this same rate, how long did it take Agent Y to complete the entire interview?
  1. 3.5 hrs
  2. 4 hrs
  3. 4.5 hrs
  4. 5 hrs
  5. None of these
12. Agent Phelps and Agent Mabry reviewed and approved case files involving smuggling activities for several area offices. Of the 190 records they reviewed together, Agent Phelps approved 3 cases for every 2 approved by Agent Mabry. How many cases did Agent Mabry approve?
  1. 38
  2. 76
  3. 114
  4. 285
  5. None of these
13. An investigator drove east at an average speed of 90 kilometers (km) per hour for 3 minutes. During the remaining 100 minutes of her travel, the investigator drove north. If the investigator drove a total of 204.5 km, what was her average speed when traveling north?
  1. 95 km/hr
  2. 100 km/hr
  3. 120 km/hr
  4. 130 km/hr
  5. None of these
14. While working the evening shift, Agent K took 8 hours to complete a task and Agent M took 10 hours to complete the same type of task. How many hours would it take Agent K and Agent M to complete the same task working together, each working at his own rate?
  1. 9
  2. 8 1/9
  3. 4 4/9
  4. 6 3/4
  5. None of these
15. An investigator traveling on official business in his personal vehicle had to make emergency repairs to the vehicle. He paid $150 for the repairs plus 15% of this amount to compensate the mechanic for repair work performed overtime. The investigator’s office reimbursed him $100 plus 40% of any amount over $100. Which one of the equations below represents the amount that the investigator was reimbursed for the repairs?
  1. 100 + .4 [ 150 (1.15) - 100] = X
  2. 4 [ (150) (.15) + 100] = X
  3. 100 + (150) (.15) = X
  4. 150 + .4 [ 150 (1.15) - 100] = X
  5. None of these

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