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The two clocks diverge by 5 minutes every day. They show the same time again once this divergence has reached 12 hours, which will take exactly 144 days. After exactly 144 days it is twelve noon on May 25th, and both clocks show 4.48. After a further 144 days it is midday on Oct 16th, and they both display 9.36.

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Q: A watch loses 3 minutes a day and my bedroom clock whoch gains 2 minutes a day gave the same time at noon on 1st January 2007 on what 2 other dates of the same year did they give the same 12hr time?
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