2. 外语
  3. 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,

admin2022-10-18  26
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(x2 + y2).
(2) For all y, 0 y = 2y2.
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(x2 + y2) is equal to y x = 2(y2 + x2); SUFFICIENT.
(2)     If x y = 2(x2 + y2) for all x and y, then 0 y = 2y2 for all y and x y = y x for all x and y. However, if x y = 2(x3 + y2) for all x and y, then 0 y = 2y2 for all y, but 1 277 2 = 2(13) + 2(22) = 10 and 2 1 = 2(23) + 2(12) = 18; NOT sufficient.
The correct answer is A;
statement 1 alone is sufficient.
转载请注明原文地址:https://kaotiyun.com/show/4ttO777K
本试题收录于： GMAT QUANTITATIVE题库GMAT分类
0

GMAT QUANTITATIVE

GMAT

相关试题推荐
随机试题
最新回复(0)