Question

Each item is followed by two statements A and B. Answer question using the instructions.
l₁, l₂ and l₃ are lines in a plane. Is l₁ perpendicular to l₃?
A. l₁ is perpendicular to l₂
B. l₂ is perpendicular to l₃

• A. the question can be answered by one statement alone, but cannot be answered by using the other statement alone.
• B. the question can be answered by using either statement alone.
• C. the question can be answered by using both the statements together but cannot be answered by using either statement alone.
• D. the question cannot be answered even by using both the statements together.

Answer 1

The Correct Option is C

Clearly, each statement alone is insufficient, as there is information about only two lines in each statement.
By combining, both statements, we get that if I₁ is perpendicular to I₂ and I₂ is perpendicular to I₃, then I₁ is parallel to I₃
Thus, the answer to the question is : No,I₁ is not perpendicular to I₃ , which is feasible by combining both statements
The correct option is (C):If the question can be answered by using both the statements together, but cannot be answered by using either statement alone