(iii) A radio station plays 'Assam Sangeet once every two days. Another radio
station plays the same song once every three days. How many times in 30
days will both the radio stations play the same song on the same day.
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The song will be played 5 times in 30 days
Step-by-step explanation:
A radio station plays assam sangeet 1 time in 2 days.
Another radio station plays same song 1 time in 3 days .
LCM(2,3)=2\times 32×3
LCM(2,3)=6=6
On 6th days both radio station plays the same song .
Total number of days=30
Therefore, both radio station plays same song by taking gap of 6 days .
It means
6,12,18,24,30
Total number of days in 30 days on which both radio station plays same song=5
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