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 handles are bars.
All bars are rods.
No rod is a stick.
Conclusions:
(I) Some handles are rods.
(II) No bar is a stick.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some handles are rods → True (As some handles are bars, and all bars are rods, so, some handles are rods is also true.)
II. No bar is a stick → True (As all bars are rods, and no rod is a stick, so, no bar is a stick is also true.)
Hence, Both conclusions I and II follow.