Plz help with min, max

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ilovegmat: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Wed Dec 02, 2009 2:10 am

by ilovegmat » Tue Feb 09, 2010 9:30 pm

For any intergers 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, max (5,2)+ 5. For the interger w, what is the value of min (10, w)?

(1) w= max(20,z) for some integer z
(2) w= max(10,w)

Right answer is D but i dont understand why (1) is sufficient.
(2) is sufficient anyone could see.

Please help me!!!!
Thanks so much!!!

Last edited by ilovegmat on Tue Feb 09, 2010 9:59 pm, edited 1 time in total.

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Source: Beat The GMAT — Data Sufficiency | Tue Feb 09, 2010 9:30 pm

papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members; Thanked: 653 times

by papgust » Tue Feb 09, 2010 9:38 pm

We are asked whether w > 10 or w < 10.

1. max (20,w) = w

From this, we know that w > 20. So, w > 10 as well. So, min (10,w) = 10.
Sufficient.

2. max (10,w) = w

From this, we know that w > 10. So, min (10,w) = 10.
Sufficient.

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ilovegmat: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Wed Dec 02, 2009 2:10 am

by ilovegmat » Tue Feb 09, 2010 10:02 pm

Hi, thanks papgust

Now i get it!!!

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thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 amFollowed by: 5 members; Thanked: 137 times

by thephoenix » Wed Feb 10, 2010 12:40 am

ilovegmat wrote:For any intergers 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, max (5,2)+ 5. For the interger w, what is the value of min (10, w)?

(1) w= max(20,z) for some integer z
--->if 20>z then w=20 so for min(10,w) ans is 10
--->if z>20 thwn w=z--->w>20---> for min (10,w) ans is 10 bcoz w>20
hence suff

(2) w= max(10,w)
--->w>10;therfore for min(10,w) ans is 10 since w>10
hence suff

so D

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Wed Feb 10, 2010 4:09 am

ilovegmat wrote:For any intergers 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, max (5,2)+ 5. For the interger w, what is the value of min (10, w)?

(1) w= max(20,z) for some integer z
(2) w= max(10,w)

Right answer is D but i dont understand why (1) is sufficient.
(2) is sufficient anyone could see.

Please help me!!!!
Thanks so much!!!

See here min(x,y) and max(x,y) is clearly defined in the question which is clearly understood.
coming up with options (1) & (2).

so min(10,w) = w for w<=10 ,and 10 for w>=10.
(1). w = max(20,z) = 20 for z<=20 so min(10,w) = 10
and z for z>=20 so in that case min(10,w)=min(10,z) =10 because z>20/........ so sufficient
(2). w= max(10,w) = 10 for w<=10 , so min(10,w) = min(10,10) = 10
and w for w>=10, so min(10,w) = 10......................... so sufficient

hence D

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Thu Feb 11, 2010 3:49 am

ilovegmat wrote:For any intergers 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, max (5,2)+ 5. For the interger w, what is the value of min (10, w)?

(1) w= max(20,z) for some integer z
(2) w= max(10,w)

Right answer is D but i dont understand why (1) is sufficient.
(2) is sufficient anyone could see.

Please help me!!!!
Thanks so much!!!

min (10, w) is 10 if we can establish w > 10, and in this case we don't need to find w

min (10, w) is w if we can establish w < 10, and in this case we need to find w

(1) Only allows us to figure that w â‰¥ 20, so w > 10 and min (10, w) is 10. Sufficient

(2) Only allows us to figure that w > 10 and min (10, w) is 10. Sufficient

Hence [spoiler]D[/spoiler]

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