Question
Download Solution PDFAn electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
An electronic device makes a beep after every 60 sec.
Another device makes a beep after every 62 sec.
They beeped together at 10 a.m.
Formula used:
The earliest time they will beep together is given by the Least Common Multiple (LCM) of their beep intervals.
LCM of 60 and 62
Calculation:
Prime factorization:
60 = 2 × 2 × 3 × 5
62 = 2 × 31
LCM = 22 × 3 × 5 × 31
LCM = 4 × 3 × 5 × 31
LCM = 60 × 31
LCM = 1860 sec
Convert 1860 seconds into minutes:
1860 sec ÷ 60 sec/min = 31 minutes
⇒ 10:00 a.m. + 31 minutes = 10:31 a.m.
∴ The correct answer is option 2.
Last updated on May 21, 2025
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