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Current Student V
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]

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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

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

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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
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Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33 GPA: 3.95
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Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

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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.
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Director V
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]

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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 V
Joined: 02 Sep 2009
Posts: 58428
Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum  [#permalink]

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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

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_________________ Re: For any integers x and y, min(x, y) and max(x, y) denote the minimum   [#permalink] 30 Mar 2019, 00:31
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