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If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
_________________
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
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a + b = c ,
taking b to the other side, a = c-b ,
take a to the other side , 1 =\(\frac{c-b}{a}\)
option E.
taking b to the other side, a = c-b ,
take a to the other side , 1 =\(\frac{c-b}{a}\)
option E.
General Discussion
SOLUTION
If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
From a + b = c:
a = c - b;
b = c - a;
c = a + b.
Only option E yields 1: (c - b)/a = a/a = 1.
Answer: E.
_________________
If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
From a + b = c:
a = c - b;
b = c - a;
c = a + b.
Only option E yields 1: (c - b)/a = a/a = 1.
Answer: E.
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Since we are given that a+b=c, the answer we have to pick has to be in one of the following forms:
a= c-b
b= c-a
c= a+b
The only valid choice is (E), since it is dividing equal values.
a= c-b
b= c-a
c= a+b
The only valid choice is (E), since it is dividing equal values.
Option E.
(c-b)/a=(a+b-b)/a=1
Given c=a+b
Posted from my mobile device
(c-b)/a=(a+b-b)/a=1
Given c=a+b
Posted from my mobile device
I know it is not the quickest/best approach but I used number picking strategy: a=3; b=4; c=7;
Sub these values and you can clearly find out that answer is 1, especially if you are not so good at using variables.
Sub these values and you can clearly find out that answer is 1, especially if you are not so good at using variables.
SOLUTION
If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
From a + b = c:
a = c - b;
b = c - a;
c = a + b.
Only option E yields 1: (c - b)/a = a/a = 1.
Answer: E.
_________________
If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
From a + b = c:
a = c - b;
b = c - a;
c = a + b.
Only option E yields 1: (c - b)/a = a/a = 1.
Answer: E.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
PareshGmat
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
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Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,531
One more method
Looking at the equation a+b = c,
we can conclude that c > a & c > b
Option A & Option D are not possible as a & b are on the same side of equation.
Option B & Option C will be negative as c > a & c > b
So Answer = E
Looking at the equation a+b = c,
we can conclude that c > a & c > b
Option A & Option D are not possible as a & b are on the same side of equation.
Option B & Option C will be negative as c > a & c > b
So Answer = E
Another way would be to just plug-in numbers for a,b and c.
EMPOWERgmatRichC
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Last visit: 31 Dec 2023
Posts: 21,775
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert reply
Hi All,
This question is perfect for TESTing VALUES.
We're told that A, B and C are non-zero numbers and that A + B = C. We're asked which of the following answers is equal to 1.
IF....
A = 2
B = 3
C = 5
Answer A: (2-3)/5 = -1/5 NOT a match
Answer B: (2-5)/3 = -3/3 NOT a match
Answer C: (3-5)/2 = -2/2 NOT a match
Answer D: (3-2)/5 = 1/5 NOT a match
Answer E: (5-3)/2 = 2/2 This IS a match
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question is perfect for TESTing VALUES.
We're told that A, B and C are non-zero numbers and that A + B = C. We're asked which of the following answers is equal to 1.
IF....
A = 2
B = 3
C = 5
Answer A: (2-3)/5 = -1/5 NOT a match
Answer B: (2-5)/3 = -3/3 NOT a match
Answer C: (3-5)/2 = -2/2 NOT a match
Answer D: (3-2)/5 = 1/5 NOT a match
Answer E: (5-3)/2 = 2/2 This IS a match
Final Answer:
GMAT assassins aren't born, they're made,
Rich
swanidhi
Joined: 11 Oct 2013
Last visit: 14 Jul 2023
Posts: 66
Concentration: Marketing, General Management
Schools: Tepper MISM '17 (A) SPJ PGPM"16 (A)
GMAT 1: 600 Q41 V31
We know that a + b = c.
So, c > b > a
Any option which has a - b, b - c, or a - c as numerator options will be incorrect --> such an option will deduce negative value.
This rules out option A, B and C.
It is also noteworthy that c cannot be in the denominator as it is the biggest of the three and the solution will be < 1.
This rules out option D.
Only option left is option E. You can either mark it, it test the option.
E is the correct answer.
Another way would be to just solve the parent equation -
a + b = c
a = c - b
1 = (c - b)/a --> Answer choice E!
Cheers!
So, c > b > a
Any option which has a - b, b - c, or a - c as numerator options will be incorrect --> such an option will deduce negative value.
This rules out option A, B and C.
It is also noteworthy that c cannot be in the denominator as it is the biggest of the three and the solution will be < 1.
This rules out option D.
Only option left is option E. You can either mark it, it test the option.
E is the correct answer.
Another way would be to just solve the parent equation -
a + b = c
a = c - b
1 = (c - b)/a --> Answer choice E!
Cheers!
Bunuel
let a, b, c be 1, 2, 3 respectively.
test the values.
only E yields 1
Kinshook
Major Poster
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Last visit: 11 Sep 2026
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Location: India
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
Bunuel
If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
c-b = a
\(\frac{c-b}{a} = 1\)
IMO E
Praful_0810
Joined: 08 Jul 2023
Last visit: 11 Sep 2026
Posts: 36
Location: India
GMAT Focus 1: 585 Q82 V75 DI80
GMAT 1: 550 Q47 V23
If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
Solution:
Given that a + b = c
so calculate the value of denominator of all option and check whether Denominator and Numerator of resulting is same
in option E, (c - b )/ a and from given a + b = c, we can calculate that a = c - b
(c-b)/(c-b) = a
option E is correct
(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a
Solution:
Given that a + b = c
so calculate the value of denominator of all option and check whether Denominator and Numerator of resulting is same
in option E, (c - b )/ a and from given a + b = c, we can calculate that a = c - b
(c-b)/(c-b) = a
option E is correct
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