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# If a > b and c > d, then

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
If a > b and c > d, then  [#permalink]

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06 Mar 2018, 21:38
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Difficulty:

15% (low)

Question Stats:

92% (00:43) correct 8% (00:24) wrong based on 41 sessions

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If a > b and c > d, then

A. a = c

B. a < d

C. a + d = b + c

B. a + c < b + d

E. a + c > b + d

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
Re: If a > b and c > d, then  [#permalink]

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06 Mar 2018, 21:40
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3373
Location: India
GPA: 3.12
Re: If a > b and c > d, then  [#permalink]

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06 Mar 2018, 22:55
Bunuel wrote:
If a > b and c > d, then

A. a = c

B. a < d

C. a + d = b + c

B. a + c < b + d

E. a + c > b + d

Assume values for a=5,b=4,c=3,d=1 such that a>b and c>d

Evaluating answer options, we can clearly say that

Therefore, Option E(a + c > b + d) will definitely be true, and is our answer!
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Joined: 26 Mar 2013
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Re: If a > b and c > d, then  [#permalink]

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07 Mar 2018, 10:25
Bunuel wrote:
If a > b and c > d, then

A. a = c

B. a < d

C. a + d = b + c

B. a + c < b + d

E. a + c > b + d

a > b
c > d
-------------Sum both inequalities as long as both have same direction

a + c > b + d

Answer: E
Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: If a > b and c > d, then  [#permalink]

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08 Mar 2018, 18:00
Bunuel wrote:
If a > b and c > d, then

A. a = c

B. a < d

C. a + d = b + c

B. a + c < b + d

E. a + c > b + d

Adding the two inequalities together, we have:

a + c > b + d

Answer: E
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Re: If a > b and c > d, then   [#permalink] 08 Mar 2018, 18:00
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