For any integers x and y, min(x, y) and max(x, y) denote the minimum and the maximum of x and y, respectively. For example, min(5, 2) = 2 and max(5, 2) = 5. For the integer w, what is the value of min(10, w) ?
(1) w = max(20, z) for some integer z.
(2) w = max(10, w)
Ans: D
Based on the GMAT answer explanation, statement (1) is sufficient because "w = max(20, z) for some integer z" implies that w is > or = 20, indicating that min(10, w) = 10...
and statement (1) is sufficient because "w = max(10, w)" implies that w is > or = 10.
Although I do understand this answer, it took me way too long to answer. Can anyone explain another (perhaps algebraic approach) to solve this problem?
Thanks.
(1) w = max(20, z) for some integer z.
(2) w = max(10, w)
Ans: D
Based on the GMAT answer explanation, statement (1) is sufficient because "w = max(20, z) for some integer z" implies that w is > or = 20, indicating that min(10, w) = 10...
and statement (1) is sufficient because "w = max(10, w)" implies that w is > or = 10.
Although I do understand this answer, it took me way too long to answer. Can anyone explain another (perhaps algebraic approach) to solve this problem?
Thanks.
