Question Details

Directions (96-100) : In the question below three 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:
A few 345 are 836
Only 836 is 912
No 345 is 523
Conclusions:
I. Some 523 can be 836
II. A few 912 is 345

Options

A

Only conclusion I follow

B

Only conclusion II follow

C

Either conclusion I or II follows

D

Both conclusions I and II follow

E

Neither conclusion I nor II follows

Show Answer

Correct Answer :

Option A

Only conclusion I follow

Solution :

Correct Answer: Only conclusion I follow


Step-by-Step Explanation:


1. Analyze the Statements:

Statement 1: "A few 345 are 836"
This means "Some 345 are 836". There is an intersection/overlapping region between the set 345 and the set 836.

Statement 2: "Only 836 is 912"
The phrase "Only A is B" translates to "All B are A", with the strict constraint that B (912) cannot belong to or interact with any other set except A (836). Therefore, "All 912 are 836", and 912 has an exclusive relationship with 836 (912 cannot be part of 345, 523, or any other set).

Statement 3: "No 345 is 523"
There is zero overlap between the set 345 and the set 523.


2. Evaluate Conclusion I: "Some 523 can be 836"

• "Can be" indicates a possibility.
• We know that 523 cannot overlap with 345. However, there is no direct negative relation given between 523 and 836.
• The portion of 836 that does not belong to 345 and does not belong to 912 can freely overlap with 523.
• Thus, it is possible for some 523 to be 836.
• Therefore, Conclusion I follows.


3. Evaluate Conclusion II: "A few 912 is 345"

• "A few" means "Some".
• As established from Statement 2 ("Only 836 is 912"), 912 belongs exclusively to 836 and cannot have any relation with 345.
• Hence, no 912 can ever be 345.
• Therefore, Conclusion II does not follow.


Conclusion:
Only conclusion I follows.

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