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mafiozo [28]
3 years ago
8

Which smallest number will have 15,20,25,31 nd 43 as reminder respectively when divided by 20, 25, 30, 36,48

Mathematics
1 answer:
Otrada [13]3 years ago
5 0
I assume by smallest number, you're really looking for the smallest *positive* number.

Notice that -5 fits all these requirements:

-5\equiv15\mod20
-5\equiv20\mod25
-5\equiv25\mod30
-5\equiv31\mod36
-5\equiv43\mod48

Any number of the form -5+nk will also satisfy these conditions, where k\in\mathbb Z and n is the least common multiple of the moduli. You have

\mathrm{lcm}(20,25,30,36,48)=3600

so the least positive number would be achieved with k=1, giving 3595 as the answer. (Verified with a script.)
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The percentage of people that are actively looking for job is called active job seekers. The active job seekers can be people that are unemployed, but also people that re employed but want to work something or somewhere else. While some people struggle to find jobs and would accept almost anything, other people want to constantly progress, thus they are not satisfying with a job where they do not progress, so they seek for new challenges and opportunities.

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Answer:

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MUSIC A song has 28 beats in 4 seconds. At this rate, how many beats are there in 30 seconds?
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