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Question

Study the following statements and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Only a few erasers are pencils

All erasers are pens

No pencil is a stencil

Conclusions:

I. Some erasers are not stencils

II. All pencils can be pens

A Only conclusion I follows Correct Answer Incorrect Answer
B Only conclusion II follows Correct Answer Incorrect Answer
C Either conclusion I or II follows Correct Answer Incorrect Answer
D Neither conclusion I nor II follows Correct Answer Incorrect Answer
E Both conclusions I and II follow Correct Answer Incorrect Answer

Solution

Only a few erasers are pencils (I) + No pencil is a stencil (E) → Some erasers are not stencils (O). Hence conclusion I follows. All erasers are pens (A) → Conversion → Some pens are erasers (I) + Some erasers are pencils (I) → Probable Conclusion → All pencils can be pens (A). Hence conclusion II follows.

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