Hey Guys, I was wondering if you could help me solve this problem:
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)
Hey Guys, I was wondering if you could help me solve this problem:
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\geq{10}, then min(10,w)=10. If w<10, then min(10,w)=w and for statement(s) to be sufficient we should be able to get single value of w.
(1) w = max(20, z) --> w\geq{20}, hence w\geq{10}, so min(10,w)=10. Sufficient.
(2) w = max(10, w) --> w\geq{10}, hence min(10,w)=10. Sufficient.
If w\geq{10}, then min(10,w)=10. If w<10, then min(10,w)=w and for statement(s) to be sufficient we should be able to get single value of w.
Can you explain how you deduced this part?
The question is min(10,w)=? Basically the question is: what is the value of least number between 10 and w?
Now if w\geq{10}, for instance if w=11, then min(10,11)=10. But if w<10, for instance w=9, then min(10,9)=9=w.
(1) w = max(20, z) --> max(20, z)=20=w. when z\leq{20}, so w=20>10 and min(10,w)=10ormax(20, z)=z=w. when z>{20}, so w=z>10 and again min(10,w)=10. Sufficient.
(2) w = max(10, w) --> directly tells us that w\geq{10}, hence min(10,w)=10. Sufficient.
hello all, this is the question.. for any integers x and y. min(x, y) and max (x, y) denote the minimum and 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) and some integer z. 2) w = max (10, w) explanation: of w is greater than or equals to 10, then min ( 10, w) = 10, and if w is less than 10, then min (10, w) = w. therefore, the value of min (10, w) can be determined if the value of w can be determined. 1) given that w = max (20, z), then w is greater than or equals to 20. hence, w is greater than or equals to 10, and so min ( 10, w) =10, sufficient. 2) given that w = max ( 10, w ), then w is greater than or equals to 10, and so min ( 10, w) = 10, sufficient
i wonder if the z on the first statement is a typo because there are 2 unknown variables in the 1st statement, and how does it get w is greater than or equals to 20 since z is unknown? is it possible that the Z in the statement is a typo and should be W? please comment! thanks!
icaniwill
Re: For any integers x and y, min(x, y) and Max(x, y) denote [#permalink]
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
Min value of w will be 20.
min(10, w) will be 10
Sufficient
(2) w = max(10, w)
Min value of w will be 10.
min(10, w) will be 10
Sufficient
Bunuel
Re: For any integers x and y, min(x, y) and Max(x, y) denote [#permalink]
Search
MAYTue
Last Day $100 Off
$100 DiscountLast Day to Save!
Register
Login | Unanswered | Active topics | Tags list by forum
Oldest
