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:
Some pens are boxes.
No box is a fan.
Some pens are fans.
Conclusions:
I. No pen is a fan.
II. No box is a pen.
III. Some fans are pens.
IV. Some boxes are pens.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only conclusions III and IV follow.
According to statements the possible venn diagram ,
Conclusions:
I. No pen is a fan. → False (The statement is not true as some pens are fan)
II. No box is a pen. → False (The statement is not true as some pens are boxes)
III. Some fans are pens. → True (The statement is true as some pens are fans so, some fans are pens)
IV. Some boxes are pens. → True (The statement is true as some pens are boxes so, some boxes are pens)
Hence, only conclusion III and IV follow is the correct answer.