Advertisements
Advertisements
प्रश्न
An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?
योग
Advertisements
उत्तर
Beep duration of first device = 60 seconds
Beep duration of second device = 62 seconds
∴ Interval of beeping together = LCM (60, 62)
Prime factorisation:
60 = 22 × 3 × 5
62 = 2 × 31
∴ LCM = 22 × 3 × 5 × 31
= 1860 seconds
= `1860/60`
= 31 min
Hence, they will beep together again at 10 : 31 a.m.
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
