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If denotes a mathematical operation, does x y = y x for all x and y ? (1) For all x and y, x y = 2(x2 + y2). (2) For all y,
If denotes a mathematical operation, does x y = y x for all x and y ? (1) For all x and y, x y = 2(x2 + y2). (2) For all y,
admin
2022-10-18
33
问题
If
denotes a mathematical operation, does x
y = y
x for all x and y ?
(1) For all x and y, x
y = 2(x
2
+ y
2
).
(2) For all y, 0
y = 2y
2
.
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.
答案
A
解析
(1) For all x and y, x
y = 2(x
2
+ y
2
) is equal to y
x = 2(y
2
+ x
2
); SUFFICIENT.
(2) If x
y = 2(x
2
+ y
2
) for all x and y, then 0
y = 2y
2
for all y and x
y = y
x for all x and y. However, if x
y = 2(x
3
+ y
2
) for all x and y, then 0
y = 2y
2
for all y, but 1
277 2 = 2(1
3
) + 2(2
2
) = 10 and 2
1 = 2(2
3
) + 2(1
2
) = 18; NOT sufficient.
The correct answer is A;
statement 1 alone is sufficient.
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本试题收录于：
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
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