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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. Some gates are ways.II. All ways are routes.III. No route is a door.Conclusions:I. No door is a way.II. Some gates are routes.

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

Solution & Step-by-step Explanation

Let's analyze using standard Venn logic:All ways are routes and No route is a door. Since the entire set of "ways" is inside "routes", and no part of "routes" can touch "doors", it means no part of "ways" can touch "doors". Therefore, No door is a way is definitely true. Conclusion I follows.Some gates are ways and All ways are routes. The intersecting part of gates and ways is inside ways, which means it must also be inside routes. Therefore, Some gates are routes is definitely true. Conclusion II follows.Since both conclusions I and II follow, option C is correct.

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. Some gates are ways.II. All ways are routes.III. No route is a door.Conclusions:I. No door is a way.II. Some gates are routes.
A
Neither conclusion I nor II follows
B
Only conclusion I follows
C
Both conclusions I and II follow
D
Only conclusion II follows

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