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Healthy Diet

Two statement...

Question

Two statements are given followed by two conclusions (I) and (II). You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions if any, follow from the given statements.

Statements
All fruits are sweet.
All sweet things are not good for health.

Conclusions
I. All fruits are not good for health.
II. Some fruits are not good for health.

A

Only conclusion I follows

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B

Only conclusion II follows

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C

Neither conclusions I nor II follow

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D

Both conclusions I and II follow

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E

Conclusion I follows and conclusion II may follow

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Solution

The correct option is D Both conclusions I and II follow
The first premise is universal affirmative (A-type).
The second premise can be written in the form of universal negative (E-type).
No sweet thing is good for health
All fruits are sweet.
No sweet thing is good for health.
$A + E \Rightarrow E$ -type of conclusion
No fruit is good for health.
Thus both the conclusions follow.

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