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Direction: In following question two conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide for the given Conclusions logically follows from the which of the given statements disregarding commonly known facts.

Conclusions:

I. Some mobiles are not pens.

II. Some mobiles being tables is a possibility.

Statements:

I. Some Pens are Tables. All Papers are Mobiles. Some Mobiles are Pens.

II. Only a few Mobiles are Pens. All Pens are Tables. All Papers are Mobiles.

III. Only a few Mobiles are Pens. Some Pens are Tables. Some Papers are Mobiles.

IV. Only a few Pens are Tables. All Papers are Mobiles. All Mobiles are Pens.

V. Only a few Pens are Tables. Some Papers are Mobiles. No Mobiles are Pens.

  1. Only statement III
  2. Both statement I and III 
  3. Only statement II
  4. Both statement II and III 
  5. Only statement V

Answer (Detailed Solution Below)

Option 4 : Both statement II and III 

Detailed Solution

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According to the question, minimum possible diagram:

From statement I: Some Pens are Tables. All Papers are Mobiles. Some Mobiles are Pens.

I. Some mobiles are not pens → False (As some part of mobiles is common with pens, therefore it is false)

II. Some mobiles being tables is a possibility → True (As no statement restricts some mobiles from being tables, therefore it is true)

∴ Statement I will not be the result of the given conclusions.

From statement II: Only a few Mobiles are Pens. All pens are Tables. All Papers are Mobiles

I. Some mobiles are not pens. → True (As only some part of mobiles can be pens which means some part cannot be pens, therefore it is true)

II. Some mobiles being tables is a possibility. → True (As no statement restricts some mobiles from being tables, therefore it is true)

∴ Statement II will be the result of the given conclusions.

From statement III: Only a few Mobiles are Pens. Some Pens are Tables. Some Papers are Mobiles.

I. Some mobiles are not pens. → True (As only some part of mobiles can be pens which means some part cannot be pens, therefore it is true)

II. Some mobiles being tables is a possibility. → True (As no statement restricts some mobiles from being tables, therefore it is true)

∴ Statement III will be the result of the given conclusions.

From statement IV: Only a few Pens are Tables. All Papers are Mobiles. All Mobiles are Pens.

I. Some mobiles are not pens. → False (As whole mobiles comes in pens, therefore it is false)

II. Some mobiles being tables is a possibility. → True (As no statement restricts some mobiles from being tables, therefore it is true)

∴ Statement IV will not be the result of the given conclusions.

From statement V: Only a few Pens are Tables. All Papers are Mobiles. No Mobiles are Pens.

I. Some mobiles are not pens. → False (As restatement is never considered as true conclusion)

II. Some mobiles being tables is a possibility. → True (As no statement restricts some mobiles from being tables, therefore it is true)

∴ Statement V will not be the result of the given conclusions.

Thus, Both statement II and III follows.

Hence, "Option 4" is the correct answer.

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