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)
confusing DS
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If w > 10, min(10, w) = 10silverlining wrote: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)
If w < 10, min(10, w) = w
Statement 1: w = max(20, z)
This means w is maximum of 20 and z. Hence, w is more than or equal to 20.
Therefore, w > 10 --> min(10, w) = 10
Sufficient
Statement 2: w = max(10, w)
This means w is maximum of 10 and w. Hence, w > 10.
Therefore, min(10, w) = 10
Sufficient
The correct answer is D.
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You are welcome.silverlining wrote:thank u so much ! u just made my day !!
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