Question Details

Directions (92-95) :  In each of the questions below some statements are given followed by two conclusions. 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 follows from the given statements disregarding commonly known facts.

Statements:
I. Some Tes are Nan
II. Only Nan is Hty
III. Only a few Tes are Wld

Conclusions:
I. Some Tes can be Hty.
II. All Wld can be Tes.

Options

A

If only conclusion I follow

B

If only conclusion II follow

C

If either conclusion I or II follows

D

If neither conclusion I nor II follows

E

If both conclusions I and II follow

Show Answer

Correct Answer :

Option B

If only conclusion II follow

Solution :

The correct answer is If only conclusion II follow.


Step-by-step Explanation:


1. Understanding the Statements:

Statement I: "Some Tes are Nan"
This means there is an intersection between the set of 'Tes' and 'Nan'.

Statement II: "Only Nan is Hty"
The phrase "Only A is B" translates logically to "All B are A", with a special restriction: elements of B cannot interact or overlap with any other element except A. Therefore, "Only Nan is Hty" means:
- All 'Hty' must be inside 'Nan'.
- 'Hty' cannot have any relationship or overlap with any other category (such as 'Tes' or 'Wld'). Thus, 'Hty' is strictly restricted to 'Nan' only.

Statement III: "Only a few Tes are Wld"
This means that some 'Tes' are 'Wld', but at the same time, some 'Tes' are definitely NOT 'Wld'. However, there is no restriction preventing all 'Wld' from being inside 'Tes'.


2. Evaluating Conclusion I: "Some Tes can be Hty."

From Statement II ("Only Nan is Hty"), we established that 'Hty' belongs exclusively to 'Nan' and cannot overlap with any other set outside 'Nan'. Therefore, 'Hty' can never be 'Tes'. Hence, the possibility "Some Tes can be Hty" is FALSE. Conclusion I does not follow.


3. Evaluating Conclusion II: "All Wld can be Tes."

Statement III tells us that "Only a few Tes are Wld", which restricts all 'Tes' from being 'Wld'. However, it leaves open the possibility for all 'Wld' to be contained within 'Tes'. Since there is no statement contradicting this, the possibility "All Wld can be Tes" is completely valid and TRUE. Conclusion II follows.


Conclusion:

Only Conclusion II logically follows from the given statements.

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