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Question

In each question below are three statements followed by three conclusions numbered I, II and III. You have to take the given statement to be true even if they seem to be at variance from 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
Some boxes are hammers.
Some hammers are beads.
All beads are rings.

Conclusions
I. Some rings are hammers.
II. Some hammers are boxes.
III. Some rings are boxes.


A
None follows
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B
Only I follows
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C
Both II and III follow
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D
Both I and II follow
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E
All follow
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Solution

The correct option is C Both I and II follow
Mediate term of the following statement is
Some hammers are beads (I-type)
All beads are rings (A-type)
I+AItype
Some hammers are rings
Conversion Some rings are hammers
(Conclusion I follows)
In the statement,
Some boxes are hammers
Conversion
Some hammers are boxes
(Conclusion II follows)

Only conclusion I and II follows.

Logical Reasoning

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