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Question

In these questions two/three statements followed by two conclusions numbered I and II have been given. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusion logically follows from the given statements disregarding commonly known facts.

Statements:-
Some circles are rectangles.
All squares are rectangles.

Conclusions:-
I. Atleast some squares are circles.
II. All rectangles are circles.

A
Only conclusion I is true
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B
Either conclusion I or II is true
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C
Both conclusions I and II are true
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D
Only conclusion II is true
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E
Neither conclusion I nor II is true.
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Solution

The correct option is E Neither conclusion I nor II is true.
Some circles are rectangles + Some rectangles are squares (Conversion of 'All squares are rectangles') = I + I = No conclusion. Therefore, conclusions I and II both do not follow.

So, neither conclusion I nor conclusion II follows.

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