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The traffic lights at three different road crossings change every $16,24$ and $54$ seconds respectively. If they have changed simultaneously at $5$ AM, how many more times will they have changed simultaneously by $5:37$ AM?

  1. $7$
  2. $6$
  3. $8$
  4. $5$
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here LCM of 432 seconds. It means that after every 432 seconds they have changed simultaneously. There will 5 times in 37 mins when they changed simultaneously.

so answer is (D)
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