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Statements : All pencils are pens.All the pens are inks.Conclusions : 1. All the pencils are inks.              &nb
Question

Statements : All pencils are pens.

All the pens are inks.

Conclusions : 1. All the pencils are inks.

                       2. Some inks are pencils. 

A.

Only 1 conclusion follows 

B.

Only 2 conclusion follows

C.

Either conclusion 1 or conclusion 2 follows

D.

Both conclusion 1 and conclusion 2 follow

Correct option is D

Let's analyze the logical relationships step by step.

  1. All pencils are pens.
    • This means pencils are a subset of pens.
  2. All pens are inks.
    • This means pens are a subset of inks.
  1. "All pencils are inks."

    • Since pencils ⊆ pens and pens ⊆ inks, it logically follows that pencils ⊆ inks.
    • Conclusion 1 follows.
  2. "Some inks are pencils."

    • We know that all pencils are inks, which means at least some inks must contain pencils.
    • Conclusion 2 follows.

The correct answer is Since both conclusions logically follow, the correct option is:
(D) Both conclusion 1 and conclusion 2 follow.

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