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Statements: I. No Athletes Are Vegetarians. Ii. All Players Are Athletes. Ii. Therefore, ________________ - Logical Reasoning

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MCQ

The questions below have two/three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements disregarding commonly known facts.
Statements:
I. No athletes are vegetarians.
II. All players are athletes.
II. Therefore, ________________

Options

  • no players are vegetarians

  • all players are vegetarian

  • some players are vegetarian

  • all vegetarians are players

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Solution 1

It can be verified from the diagram that option 1 – ‘No players are vegetarians’ is correct.

Solution 2

no players are vegetarians

Explanation:

Athletes and vegetarians are disjoined sets. Players are a subset of athletes, so it can be concluded that no player is a vegetarian.

Concept: Syllogism
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