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The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec, respectively. They all change simultaneously at 08:20:00 hours, when will they again change…

Question and options

The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec, respectively. They all change simultaneously at 08:20:00 hours, when will they again change simultaneously?
  1. 9:27:12 hours
  2. 8:27:12 hours
  3. 7:27:13 hours
  4. 11:00:12 hours

Answer and explanation

Correct answer: B - 8:27:12 hours
LCM(48,72,108) = 2^4*3^3 = 432 s = 7 min 12 s. 08:20:00 + 7:12 = 08:27:12.

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