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A faulty wall clock is known to gain $15$ minutes every $24$ hours. It is synchronized to the correct time at $9$ AM on $11$th July. What will be the correct time to the nearest minute when the clock shows $2$ PM on $15$th July of the same year?

  1. $12:45$ PM
  2. $12:58$ PM
  3. $1:00$ PM
  4. $2:00$ PM
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