Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

For any integers x and y, min(x, y) and max(x, y) denote the [#permalink]

Show Tags

29 May 2010, 13:23

7

This post received KUDOS

49

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

75% (hard)

Question Stats:

51% (01:11) correct
49% (01:10) wrong based on 2077 sessions

HideShow timer Statistics

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)

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 \(w\).

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 \(w\).

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 \(min(10,w)=10\) or \(max(20, z)=z=w\). 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!

Re: For any integers x and y, min(x, y) and Max(x, y) denote [#permalink]

Show Tags

17 Jan 2012, 20:19

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)?

Re: For any integers x and y, min(x, y) and Max(x, y) denote [#permalink]

Show Tags

27 Aug 2012, 15:34

Thanks for the explanation, I had trouble wrapping my head with the OG explanation but finally got it. Given statement 1, it doesn't matter what the max of 20 or z is it will be at least 20, making 10 the min.

Re: For any integers x and y, min(x, y) and Max(x, y) denote [#permalink]

Show Tags

19 Dec 2012, 14:04

Bunuel wrote:

icaniwill wrote:

Statement 1 has nice trap built in to catch us under time pressure.

rephrased question is Is \(w\geq10\)? (1) Gives \(w\geq20\) Sufficient. (2) Gives \(w\geq 10\) Sufficient

Merging similar topics. Please ask if anything remains unclear.

I am confused about the rephrasing of the question. I thought that Min (10,10) was not a valid answer. Does there have to be a range greater than zero between the min and max?

Statement 1 has nice trap built in to catch us under time pressure.

rephrased question is Is \(w\geq10\)? (1) Gives \(w\geq20\) Sufficient. (2) Gives \(w\geq 10\) Sufficient

Merging similar topics. Please ask if anything remains unclear.

I am confused about the rephrasing of the question. I thought that Min (10,10) was not a valid answer. Does there have to be a range greater than zero between the min and max?

\(min(10,w)=10\) when \(w\geq{10}\); \(min(10,w)=w\) when \(w<10\)

As for your other question: min(10,10)=10 and max(10,10)=10 too.

For any integers x and y, min(x, y) and max(x, y) denote the [#permalink]

Show Tags

11 Oct 2016, 09:02

Bunuel wrote:

snkrhed wrote:

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 \(min(10,w)=10\) or \(max(20, z)=z=w\). 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.

Answer: D.

Hope it's clear.

From (1) ; w = max (20, z), then w is greater than or equals to 20. How we have reached at this conclusion ? We don't know what is the value of z then how we can determine the max value of w ? Is it because max(5, 2) = 5 as given in the Q stem ? (i.e. selecting first value from the equation)

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 \(min(10,w)=10\) or \(max(20, z)=z=w\). 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.

Answer: D.

Hope it's clear.

From (1) ; w = max (20, z), then w is greater than or equals to 20. How we have reached at this conclusion ? We don't know what is the value of z then how we can determine the max value of w ? Is it because max(5, 2) = 5 as given in the Q stem ? (i.e. selecting first value from the equation)

No.

max(x, y) denote the maximum of x and y.

(1) says that \(w = max(20, z)\), so w (the maximum of 20 and z) is 20 if z<=20 or w = z if z>20. Thus, in any case, \(w\geq{20}\).
_________________

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