Statements: Nail polish is cosmetic.No cosmetic is powder.Some powders are medicine. Conclusions: I) Some powders are cosmetics. II)Some medicines are nail polishes. III) Some cosmetics are nail polishes.
Answers
Step-by-step explanation:
No cosmetic is powder. Some powders are medicine. Conclusions. I. Some powders are cosmetics. II. Some medicines are nail polishes.
Answer:
only conclusion 3 follows is the correct answer
Given:
Nail polish is cosmetic
No cosmetic is powder
Some powders are medicine.
To find:
which, [if any] of the given conclusions follow
Solution:
the solution to the given problem can be understood with the help of a Venn diagram in the image attached below.
conclusions:
- Some powders are cosmetics.
we know that no cosmetic is powder. therefore, no powder is cosmetic and the conclusion doesn't follow.
- Some medicines are nail polishes.
none of the given statements establish a clear relationship between medicines and nail polish. in the Venn diagram, the nail polish could or could not be a part of medicines and vice versa. therefore, this conclusion is doubtful and doesn't follow.
- Some cosmetics are nail polishes.
this conclusion follows because we have been given that Nail polish is cosmetic. since all cosmetics are nail polishes, therefore, some cosmetics too, are nail polishes.
so, only conclusion 3 follows.
Hence, only conclusion 3 follows is the correct answer.
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