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GATE 2021 MT – Question 3

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

Digital watch X beeps every 30 seconds and watch Y every 32 seconds. They beep together at 10 AM. The immediately next time they beep together is ______.

  1. 10:08 AM
  2. 10:42 AM
  3. 11:00 AM
  4. 10:00 PM

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Show answer and explanation

Correct answer: (A) 10:08 AM

Explanation

LCM(30,32)=480 seconds, since their greatest common divisor is 2. This is eight minutes after 10 AM, so **10:08 AM, A**.