题目
The symbol Ω represents one of the following operations: addition, subtraction, multiplication or division. What is the value of 1 Ω 1?
(1) 2 Ω 2 = 4
(2) 0 Ω 1 = 0
选项
A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D.EACH statement ALONE is sufficient.
E.Statements (1) and (2) TOGETHER are NOT sufficient.
解析
符号Ω代表以下运算之一:加法、减法、乘法或除法。1Ω1的值是多少?
- **条件(1)**:2Ω2 = 4
- **条件(2)**:0Ω1 = 0
- **条件(1)**:
- 当2Ω2 = 4时,Ω可能代表加法“+”(2+2 = 4),也可能代表乘法“×”(2×2=4)。
- 所以不能确定Ω到底代表哪种运算,也就无法确定1Ω1的值,条件(1)单独不充分。
- **条件(2)**:
- 当0Ω1 = 0时,乘法/除法运算都可以满足,但不管哪个,都可以算出原式中的值为1。
- 条件(2)单独充分。
综上,答案是B,即Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient。