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GATE 2022 CS – Question 4

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

Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.

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

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Show answer and explanation

Correct answer: (A) Statement 1 and Statement 3

Explanation

With at least one student, 'all are inquisitive' and 'none is inquisitive' contradict each other. The other pairs can be true together.