1.

Water ejected through the nozzle of three musical fountains at the interval of 36 sec, 48 sec and 72 sec. They start together at a particular time. Find at what interval of time they will eject together.1. 120 sec2. 144 sec3. 180 sec4. 240 sec

Answer» Correct Answer - Option 2 : 144 sec

Given:

Interval of ejection of water in three musical fountains is 36 sec., 48 sec. and 72 sec.

Concept used:

Time after which water eject together = LCM of all intervals

Calculation:

Interval of ejection of water in three musical fountains is 36 sec., 48 sec. and 72 sec.

Time after which water eject together = LCM of 36, 48, and 72 seconds.

⇒ Time after which water eject together = 144 seconds

∴ They will eject together every 144 seconds.



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