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An inlet pipe A originating from a river...

An inlet pipe A originating from a river can fill a reservoir in 30 days. And an outlet pipe B, which is capable of emptying the completely filled reservoir in 50 days, drains out the water from the reservoir to an irrigation canal. The pipes are opened on alternate days starting with A. On which day from the beginning will the reservoir get completely filled for the first time?

A

`75^(th)`

B

`147^(th)`

C

`150^(th)`

D

`74^(th)`

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