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State whether each of the following pairs of events is mutually exclusive.

A flywheel is attached to a crankshaft by 12 bolts, numbered 1 through 12.Each bolt is checked to determine whether it is torqued correctly. Let A be the event that all the bolts are torqued correctly, let B be the event that the #3 bolt is not torqued correctly, let C be the event that exactly one bolt is not torqued correctly, and let D be the event that bolts #5 and #8 are torqued correctly. State whether each of the following pairs of events is mutually exclusive.
  1. A and D
  2. A and B
  3. A and C
  4. B and C
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