vaivish1723 wrote:
The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?
(1) 0*2 = 2
(2) 2*0 = 2
Given: The operation * represents either addition, subtraction, or multiplication Target question: What is the value of 1*0? Statement 1: 0*2 = 2 Let's test all 3 possible operations:
0 + 2 = 2
0 - 2 = -2
0 x 2 = 0
We can see that * represents addition, which means the answer to the target question is
1*0 = 1+0 = 0Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: 2*0 = 2Let's test all 3 possible operations:
2 + 0 = 2
2 - 0 = 2
2 x 0 = 0
We can see that * represents EITHER addition OR substitution.
Does this mean statement 2 is insufficient?
We don't know yet, since we haven't tried answering the
target question yet.
Let's consider both possible cases:
Case a: * represents addition. In this case, the answer to the target question is
1*0 = 1+0 = 1Case b: * represents subtraction. In this case, the answer to the target question is
1*0 = 1-0 = 1So, even though we don't know which operation * represents, we can still answer the
target question with certainty (
1*0 definitely equals 1)
So, statement 2 is SUFFICIENT
Answer: D
_________________