Each question is followed by two statements, I and II. Answer each question using the following instructions.
Mark the answer as
- Choose $1$ if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
- Choose $2$ if the question can be answered by using either statement alone.
- Choose $3$ if the question can be answered by using both statements together, but cannot be answered using either statement alone.
- Choose $4$ if the question cannot be answered even by using both statements together.
For any two real numbers,
$a \oplus b = \left\{\begin{matrix} 1\; \text{if both}\; a \;\text{and}\; b \;\text{are positive or both}\; a \;\text{and}\; b \;\text{are negative.} \\ –1 \;\text{if one of the two numbers}\; a\; \text{and}\; b\;\text{is positive and the other negative.} \end{matrix}\right.$
What is $(2 \oplus 0) \oplus (–5 \oplus –6)?$
- $a \oplus b$ is zero if a is zero.
- $a \oplus b = b \oplus a$
- $1$
- $2$
- $3$
- $4$