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GATE 2019 BT – Question 2

General Aptitude · Analytical Aptitude: Logical Reasoning, Deduction and Analogy · 1 mark · Multiple choice

Some students were not involved in the strike. If this is true, which conclusions 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.

  1. 1 and 2
  2. 3
  3. 4
  4. 2 and 3

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Correct answer: (C) 4

Explanation

The premise asserts the existence of at least one person who is a student and is not a strike participant. Reversing the order of these two properties gives conclusion 4. It does not tell us whether any other students participated, so neither participation nor universal nonparticipation follows. Only 4 is necessary, C.

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