Question

How many numbers between 4000 and 4500 are divisible by 12,16,24

Answer 1

to find the number of numbers divisible by 12:
4000/12 --> quotient=333
4500/12--> quotient=375

375-333 = 42

42 numbers are divisible by 12
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to find the number of numbers divisible by 16:
4000/16 --> quotient=250
4500/16--> quotient=281

281-250=31

31 numbers are divisible by 16.
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to find the number of numbers divisible by 24:
4000/24 --> quotient=166
4500/24--> quotient=187

187-166=21

21 numbers are divisible by 24.
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therefore between 4000 and 4500 there are
42 + 31 + 21 = 94 numbers divisible by 12, 16, 24