Fact 1: Some pens don't write. Fact 2: All blue pens write. Fact 3: Some writing utensils are pens. If the first three statements are facts, which of the following statements must also be a fact? I: Some writing utensils don't write. II: Some writing

Fact 1:	Some pens don't write.
Fact 2:	All blue pens write.
Fact 3:	Some writing utensils are pens.

If the first three statements are facts, which of the following statements must also be a fact?

I:	Some writing utensils don't write.
II:	Some writing utensils are blue.
III:	Some blue writing utensils don't write.

[A].	I only
[B].	I and II only
[C].	II and III only
[D].	None of the statements is a known fact.

Answer: Option B

Explanation:

Since some pens don't write, some writing utensils don't write (statement I). Since there are blue pens and since pens are writing utensils, some writing utensils are blue (statement II). There is not enough information to support statement III.

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Fact 1: Some pens don't write. Fact 2: All blue pens write. Fact 3: Some writing utensils are pens. If the first three statements are facts, which of the following statements must also be a fact? I: Some writing utensils don't write. II: Some writing

Logical Reasoning :: Logical Problems : More Exercises

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