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Discussion

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Most erasers are sharpeners. Some sharpeners are pencils. All pencils are erasers. Conclusions:

I. Some sharpeners are erasers.
II. All erasers are pencils.
III. No pencils are sharpeners.

  • A.None of the conclusions follow
  • B.Only conclusions I and III follow
  • C.Only conclusions I and II follow
  • D.Only conclusion I follows

Answer: D

Only conclusion I follows. 'Most erasers are sharpeners' means at least some erasers are sharpeners, and reversed, some sharpeners are erasers, so I holds. II says all erasers are pencils, but only the converse is given (all pencils are erasers), and some erasers are sharpeners, so II does not follow. III says no pencils are sharpeners, which flatly contradicts the statement 'Some sharpeners are pencils'.

So none, I with III, and I with II are all wrong.

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