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## what is the value of min(10, w) ?

tagged by: Brent@GMATPrepNow

This topic has 2 expert replies and 0 member replies
Manonamission Junior | Next Rank: 30 Posts
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#### what is the value of min(10, w) ?

Tue Oct 11, 2016 7:53 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
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)

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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
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Tue Oct 11, 2016 8:06 am
Quote:
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)

Target question: What is the value of min(10, w)?

Statement 1: w = max(20, z) for some integer z.
Let's take a closer look at max(20, z)
If z < 20, then max(20, z) = 20
If z > 20, then max(20, z) = some value greater than 20
So, max(20, z) must be greater than or equal to 20
Since, w = max(20, z), we can conclude that w is greater than or equal to 20
From this, we can conclude that min(10, w) = 10, since 10 will be the lesser value
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: w = max(10, w)
If w = max(10, w), then w is the larger value.
In other words, w is greater than or equal to 10
If w is greater than or equal to 10, then we can conclude that min(10, w) = 10
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent

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Rich.C@EMPOWERgmat.com Elite Legendary Member
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Tue Oct 11, 2016 9:49 am
Hi Manonamission,

This question was discussed here:

http://www.beatthegmat.com/properties-of-numbers-t267107.html

GMAT assassins aren't born, they're made,
Rich

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