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1 mark

In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements:I. All planets are asteroids.II. All orbits are asteroids.III. No star is an asteroid. Conclusions:I. No planet is a star.II. No star is an orbit.

  1. A
    Only conclusion I follows
  2. B
    Neither conclusion I nor II follows
  3. C
    Only conclusion II follows
  4. D
    Both conclusions I and II follow

Solution & Step-by-step Explanation

Let's analyze the statements using standard Venn diagrams or logical relations: Statement I: All planets are asteroids. (Planet set is completely inside Asteroid set)Statement II: All orbits are asteroids. (Orbit set is completely inside Asteroid set)Statement III: No star is an asteroid. (Star set is entirely disjoint and separate from Asteroid set)Now let's check the conclusions:Conclusion I: No planet is a star. Since all planets are inside asteroids, and no asteroid can be a star, it is absolutely true that no planet can cross into the star set. Thus, conclusion I follows.Conclusion II: No star is an orbit. Since all orbits are inside asteroids, and no asteroid can be a star, it is absolutely true that no orbit can be a star. Thus, conclusion II follows.Therefore, both conclusions I and II follow.

Practice this question

Try it yourself before checking the explanation above.

In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements:I. All planets are asteroids.II. All orbits are asteroids.III. No star is an asteroid. Conclusions:I. No planet is a star.II. No star is an orbit.
A
Only conclusion I follows
B
Neither conclusion I nor II follows
C
Only conclusion II follows
D
Both conclusions I and II follow

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