Please read each question carefully. Each question provides two Statements followed by two Conclusions numbered (1) and (2). Determine which of the given conclusions logically follows from the two given statements.
Statements:
Some pens are pencils.
All pencils are erasers.
Conclusions:
(1) Some pens are erasers.
(2) No pen is eraser.
Show answer & explanation
Correct answer: A
Explanation
Given Statements:
• Some pens are pencils.
• All pencils are erasers.
Analysis of Conclusions:
• Conclusion (1): Since some pens are pencils and all pencils are inside the category of erasers, the common portion between pens and pencils is definitely erasers. Hence, Some pens are erasers definitely follows.
• Conclusion (2): Since some pens are definitely erasers, No pen is eraser cannot follow.
Therefore, only conclusion (1) follows.
Correct Option: (A)