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If A = q − r, B = r − s, and C = q − s, what is the value of
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30 Jan 2020, 10:31
30 Jan 2020, 10:31
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If A = q − r, B = r − s, and C = q − s, what is the value of A − (B − C)?
A. −r
B. 0
C. 1
D. q + r
E. 2(q − r)
Kudos for the right answer and explanation
A. −r
B. 0
C. 1
D. q + r
E. 2(q − r)
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If A = q − r, B = r − s, and C = q − s, what is the value of
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31 Jan 2020, 07:11
31 Jan 2020, 07:11
1
Carcass wrote:
If A = q − r, B = r − s, and C = q − s, what is the value of A − (B − C)?
A. −r
B. 0
C. 1
D. q + r
E. 2(q − r)
Kudos for the right answer and explanation
A. −r
B. 0
C. 1
D. q + r
E. 2(q − r)
Kudos for the right answer and explanation
GIVEN: A = q − r, B = r − s, and C = q − s
Replace A, B and C with their given values to get: A − (B − C) = q − r - [(r − s) - (q − s)]
= q − r - [r − q]
= 2q - 2r
= 2(q - r)
Answer: E
Cheers,
Brent
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: If A = q r, B = r s, and C = q s, what is the value of
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18 Jun 2022, 10:08
18 Jun 2022, 10:08
1
Given that A = q − r, B = r − s, and C = q − s and we need to find the value of A − (B − C)
A - (B-C) = (q-r) - ( (r-s) - (q-s)) [Substituting values of A, B and C]
= q - r - (r - s - q + s)
= q - r - (r - q)
= q - r - r + q
= 2q - 2r
= 2*(q-r)
So, Answer will be E
Hope it helps!
A - (B-C) = (q-r) - ( (r-s) - (q-s)) [Substituting values of A, B and C]
= q - r - (r - s - q + s)
= q - r - (r - q)
= q - r - r + q
= 2q - 2r
= 2*(q-r)
So, Answer will be E
Hope it helps!
