An exam question

• mathelord
In summary, the conversation discusses a math question about three guards blowing whistles at different intervals and when they will blow together again. The answer involves finding the least common multiple and understanding the principles of arithmetic.

mathelord

I just wrote my senior school certificate exam ,but could not solve one of the maths questions .the question is as follows
3 night quard a,b,c blow their their whistle at intervals 8,15,and 18 minutes respectively.if they blow together at 11.00 p.m,when next are they expected to blow together

8= 2*2*2, 15= 3*5, and 18= 2*3*3. The least common multiple of those is
2*2*2*3*3*5= 360 which is 6*60 or 6 hours. They will all blow their whistles together again at 11+ 6 hours or 5:00 a.m.

I don't not get it ,on wat principle of maths or wat branch is this on

Lowest common multiples and greatest common factors.

The "branch of mathematics" is arithmetic!

mathelord said:
I don't not get it ,on wat principle of maths or wat branch is this on

Yes it's just a lowest common multiple question. Basically you need to have every prime factor from each number repeated to the maximum power that it appears in any of the individual numbers.

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