GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2019, 04:18

### GMAT Club Daily Prep

#### 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

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

# For any integers x and y, min(x, y) and max(x, y) denote the minimum

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Current Student
Joined: 28 May 2014
Posts: 515
GMAT 1: 730 Q49 V41
For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

### Show Tags

22 Mar 2018, 19:33
4
5
00:00

Difficulty:

55% (hard)

Question Stats:

55% (01:39) correct 45% (02:23) wrong based on 55 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(2, 1) = 1 and max(2,1) = 2. If a, b, c and d are distinct positive integers, is max(a, max(b, min(c, d))) = max(d, max(a, min(b, c))) ?

(1) b, c and d are factors of a
(2) a – 2d = b + c

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 8006
Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

### Show Tags

22 Mar 2018, 20:29
saswata4s 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(2, 1) = 1 and max(2,1) = 2. If a, b, c and d are distinct positive integers, is max(a, max(b, min(c, d))) = max(d, max(a, min(b, c))) ?

(1) b, c and d are factors of a
(2) a – 2d = b + c

max(a, max(b, min(c, d))) ... You will get MAX value out of the 4 only if a or b are max....
max(d, max(a, min(b, c))) .... You will get the max value out of the four only if a and d are max..

So we can say max(a, max(b, min(c, d))) = max(d, max(a, min(b, c))) ?
In two conditions..
1) if A is the max
2) if C is the max as it will get discarded in MIN and we will get the second largest from the remaining 3

Let's see the statements..
(1) b, c and d are factors of a.
Since all are different, we can say a is largest.
Meets our first criterion, is Ans will be a from both sides
Suff
(2) a-2d=b+C
a=b+c+2d
So a is largest..
Suff

D
_________________
Director
Joined: 31 Jul 2017
Posts: 512
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

### Show Tags

22 Mar 2018, 21:14
saswata4s 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(2, 1) = 1 and max(2,1) = 2. If a, b, c and d are distinct positive integers, is max(a, max(b, min(c, d))) = max(d, max(a, min(b, c))) ?

(1) b, c and d are factors of a
(2) a – 2d = b + c

Statement I:

a is the maximum of b,c,d. So, $$max(a, max(b, min(c, d)))$$ & $$max(d, max(a, min(b, c)))$$ will always be a.

Statement II:

$$a = b + c + 2d.$$ As, $$a, b, c & d$$ are distinct POSITIVE Integers, a will always be maximum.

$$max(a, max(b, min(c, d)))$$ & $$max(d, max(a, min(b, c)))$$ will always be a.

Hence, D.
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!
Director
Joined: 18 Feb 2019
Posts: 582
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

### Show Tags

29 Mar 2019, 12:36
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(2, 1) = 1 and max(2,1) = 2. If a, b, c and d are distinct positive integers, is max(a, max(b, min(c, d))) = max(d, max(a, min(b, c))) ?

(1) b, c and d are factors of a

(2) a – 2d = b + c
Math Expert
Joined: 02 Sep 2009
Posts: 58428
Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

### Show Tags

30 Mar 2019, 00:31
kiran120680 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(2, 1) = 1 and max(2,1) = 2. If a, b, c and d are distinct positive integers, is max(a, max(b, min(c, d))) = max(d, max(a, min(b, c))) ?

(1) b, c and d are factors of a

(2) a – 2d = b + c

Merging topics. Please search before posting.
_________________
Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum   [#permalink] 30 Mar 2019, 00:31
Display posts from previous: Sort by

# For any integers x and y, min(x, y) and max(x, y) denote the minimum

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne