ICE Special Agent Exam Prep - Question List

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36. For what value of x is 8 12 = 16 x?
  1. 3
  2. 4
  3. 8
  4. 9
  5. 12
37. What is the distance between the points (2,10) and (-4,2) in the xy-plane?
  1. 6
  2. 8
  3. 10
  4. 14
  5. 18
38. In the xy-plane, a line parallel to the x-axis intersects the y-axis at the point (0, 4). This line also intersects a circle in two points. The circle has a radius of 5 and its center is at the origin. What are the coordinates of the two points of intersection?
  1. (1, 2) and (2, 1)
  2. (2, 1) and (2, -1)
  3. (3, 4) and (3, -4)
  4. (3, 4) and (-3, 4)
  5. (5, 0) and (-5, 0)
39. Suppose 4 r = 3 s = 10 t, where r, s, and t are positive integers. What is the sum of the least values of r, s, and t for which this equality is true?
  1. 7
  2. 17
  3. 41
  4. 82
  5. 120
40. 3 3 + 4(8-5) ?=
  1. 6.5
  2. 11
  3. 27.5
  4. 29
  5. 34.16

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