silverlining 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) = 10
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.

silverlining wrote:thank u so much ! u just made my day !!

You are welcome.