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Option 3 : I & III
Both of which cannot be true both can also be false
1) I & II
I. All machines make noise
II. Some machines are noisy
Both are true and both cannot be false.
2) III & IV
III. No machine makes noise
IV. Some machines are not noisy
Both are true and both cannot be false.
3) I & III
I. All machines make noise
III. No machine makes noise
Both the statements cannot be true, also, both can be false.
4) II & IV
II. Some machines are noisy
IV. Some machines are not noisy
Both can be true.
Hence, ‘I and III’ is the correct answer.
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