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This question came up in the set venn diagram test. Out of 120 students, those with ID's that are even numbers are doing Physics, and all with ID's divisible by 5 are doing Chemistry, and all with ID's divisible by 7 are doing Maths. How many are doing Physics AND Maths? How many are doing Maths and Chemistry? How many are doing neither subject? etc..

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Assuming the ID's range from 1-120: Number of students taking Physics: 60 (there are 60 numbers between 1-120 that are divisible by 2) Chemistry: 24 (only 24 numbers between 1-120 that are divisible by 5) Maths: 17 Physics and Chemistry: 12 Physics and Maths: 8 Chemistry and Maths: 2 All three subjects: 1

I got all the same expect Chemistry and Maths where i got the answer as 3. Could you please explain your working? Thanks

I got the same & also 3 (not 2)

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