Maths
Chapter-1 real numbers
ques 1- Four different electronic devices make a beep after every 30 minutes , 1 hours , 1 hours 30 minutes and 1 hours 45 minutes respectively. All the device beeped together at 12 noon. when will they beep again together at.
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Answer:
Next they will beeped together at 9a.m.
Step-by-step explanation:
First device beeps in every 30 min
Second device beeps in every 60 min
Third device beeps in every 90 min
Fourth device beeps in every 105 min
That means together they beep after how many minutes
We calculate LCM (30, 60, 90, 105)
30 = 2 x 3 x 5
60 2 x 2 x 3 x 5
90 = 2 x 3 x 3 x 5
105 = 3 x 5 x 7
So, LCM 2² x 3² x 5 x 7 = 1260
-> ie, in 1260/60 = 21 hrs they beep together.
All beeped together after 12 noon at 21 hrs later. i.e, (12 +21)hrs = 9a.m.
ANSWER - Next they will beeped together at 9a.m.
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