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An odd multiple of 6 which is less than 1000

Answer»

Answer:

N < 1000

so N can have values from 1 to 999

Now Multiples of 4 are

4,8,………………………………..996

count of this N4=(996–4)/4+1=249

Now Multiples of 6 are

6,12,18,………………………………..996

count of this N6=(996–6)/6+1=166

N4 and N6 are having common which are multiple of LCM of 4 and 6 or 12

12,24,………………………………..996

N12=(996–12)/12+1=83

Now the odd multi[les of 9 are

9,27,45,……………………………………………..999

So N9=(999–9)/18+1=56

Thus total of the required numbers

=N4+N6-N12+N9 = 249+166–83+56

=388

Step-by-step explanation:

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