Numbers from 1 to 1000 are divisible by 60 but not by 24 is _________.
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answer is 8.
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Detailed Solution
Let n(A) = Number divisible by 60 = (60, 120, ...,960) = 16 n (B) = Number divisible by 24 = (24, 48, .. ., 984) = 41n(A∩B)= Number divisible by both =120 + 240 + ... + 960 = 8Hence, n(A∩B)=n(A)−n(A∩B)=16−8=8