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 Pouches are Bags.

II. Some Purses are Clips.

Statements:

(I) Some Bags are Pouches. All Pouches are Clips. All Clips are Purses.

(II) All Purses are Bags. Some Clips are Pouches. Some Pouches are Bags.

(III) Some Bags are Purses. Some Pouches are Clips. All Pouches are Bags.

(IV) Some Pouches are Bags. Some Clips are Pouches. All Purses are Clips.

(V) Some Bags are Pouches. Some Clips are Bags. Some Purses are Clips.

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

Answer (Detailed Solution Below)

Option 5 : Both statement I and IV

Detailed Solution

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According to the question, minimum possible diagram:

From statement I: Some Bags are Pouches. All Pouches are Clips. All Clips are Purses.

I. Some Pouches are Bags→ True (As some part of bags is common with pouches, therefore it is true)

II. Some Purses are Clips → True (As whole clips comes in purses, therefore it is true)

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

From statement II: All Purses are Bags. Some Clips are Pouches. Some Pouches are Bags.

I. Some Pouches are Bags. → True (As some part of bags is common with pouches, therefore it is true)

II. Some Purses are Clips → False (So it is possible but not definite)

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

From statement III: Some Bags are Purses. Some Pouches are Clips. All Pouches are Bags.

 

I. Some Pouches are Bags. → True (As whole pouches comes in bags, therefore it is true)

II. Some Purses are Clips False (So it is possible but not definite)

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

From statement IV: Some Pouches are Bags. Some Clips are Pouches. All Purses are Clips.

I. Some Pouches are Bags. → True (As some part of bags is common with pouches, therefore it is true)

II. Some Purses are Clips → True (As whole purses comes in clips, therefore it is true)

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

From statement V: Some Bags are Pouches. Some Clips are Bags. Some Purses are Clips.

I. Some Pouches are Bags. → True (As some part of bags is common with pouches, therefore it is true)

II. Some Purses are Clips → False (As restatement is never considered as true conclusion)

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

Thus, Both statement I and IV follows.

Hence, "Option 5" is the correct answer.

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