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Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Problem: a not - so - good clockmaker has four clocks on display in the window. clock # 1 loses 25 minutes every hour. clock # 2 gains 15 minutes every hour relative to clock # 1 ( i. e., as clock # 1 moves from 12: 00 to 1: 00, clock # 2 moves from 12: 00 to 1: 15 ). clock # 3 loses 20 minutes every hour relative to clock # 2. finally, clock # 4 gains 20 minutes every hour relative to clock # 3. if the clockmaker resets all four clocks to the correct time at 12 noon, what time will clock # 4 display after 6 actual hours ( when it is actually 6: 00 pm that same day ) ?
Options: a. 5: 00, b. 5: 34, c. 5: 42, d. 6: 00, e. 6: 24
Output:
c