Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary?
1. Some who were involved in the strike were students.
2. No student was involved in the strike.
3. At least one student was involved in the strike.
4. Some who were not involved in the strike were students.
Options:
(A) 1 and 2
(B) 3
(C) 4
(D) 2 and 3
Official Answer Key:
C
Step-by-Step Solution & Explanation
"Some students were not involved in the strike" only asserts that at least one student was a non-participant; it says nothing about whether any student *was* involved (statements 1 and 3 are not forced), and it does not claim ALL students were uninvolved (statement 2 is too strong). The only statement that is a direct logical restatement of the given premise (commutativity of 'some') is statement 4: "Some who were not involved in the strike were students." Answer: (C) 4.
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