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.

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally llkely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day?

A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

Two women and five men together can finish a work in 4 days. But three women and six men can finish the same work in three days. Determine the time taken to comlete the work by a woman and by a man when each of them works alone.

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally llkely to visit the shop on any day as on another day. What is the probability that both will visit the shop on(ii) consecutive days?

Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally llkely to visit the shop on any day as on another day. What is the probability that both will visit the shop on(iii) different days?