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Two clocks are set right at 12 noon on 1 January 2027, as shown. One gains 4 minutes every day and the other loses 2 minutes every day. On which date will they next show the same time at noon?

Competition practiceClocks
  • A2 May
  • B31 March
  • C1 March
  • D1 May

Step-by-Step Solution

They drift apart by 4 + 2 = 6 min a day and agree again when the gap is 12 h = 720 min: 720 ÷ 6 = 120 days. 120 days after 1 January 2027: 30 + 28 + 31 + 30 = 119 days takes us to 30 April, so day 120 is 1 May. (1 March uses 720 ÷ 12; 2 May counts 1 January as day 1.)
Answer: D) 1 May

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