Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 03:20

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the value of C + B?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 21 Oct 2013
Posts: 425
Followers: 15

Kudos [?]: 1540 [0], given: 289

What is the value of C + B? [#permalink]

### Show Tags

05 Feb 2014, 16:36
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:06) correct 33% (01:39) wrong based on 54 sessions

### HideShow timer Statistics

What is the value of C + B?

(1) A + B = C + D = E + F
(2) (E + F) = (D – B)

OE
[Reveal] Spoiler:
For (1), pick some numbers.
A = 7, B = 3, C = 4, D = 6 → C + B = 7
A = 1, B = 9, C = 3, D = 7 → C + B = 12
No single value
Insufficient.

For (2), It does not even contain the variable C.
Insufficient.
Combined:
Notice in this problem that there are several sets of 2 variable terms and they're all equal.
From (2), (D – B) = (E + F) → C + D = D–B.
Add B to both sides and subtract D from both sides
→ C + B = 0.
Sufficient.

Hi, I want to know if we can solve Statement (1) without pick number, please.
I think it does not have C + B in equation, it is insufficient.
[Reveal] Spoiler: OA
Manager
Joined: 23 Jun 2008
Posts: 85
Location: Australia
Schools: AGSM '22
GMAT Date: 04-01-2014
Followers: 1

Kudos [?]: 45 [1] , given: 24

Re: What is the value of C + B? (1) A + B = C + D = E + F [#permalink]

### Show Tags

05 Feb 2014, 17:20
1
KUDOS
Let me try,

We can rearrange the equations:

C = E+F - D
B = E+F - A

All 3 equalities given would boil down to this,

C+B = 2 (E+F) - (A+D)

So C+B depends on 4 different variables which are still unknown. In other words there are infinitely many number of possibilities for C+B when the Statement 1 alone is considered.

I hope this helps.
_________________

Kudos (+1) if you find this post helpful.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7373
Location: Pune, India
Followers: 2287

Kudos [?]: 15103 [2] , given: 224

Re: What is the value of C + B? (1) A + B = C + D = E + F [#permalink]

### Show Tags

05 Feb 2014, 21:52
2
KUDOS
Expert's post
goodyear2013 wrote:
What is the value of C + B?
(1) A + B = C + D = E + F
(2) (E + F) = (D – B)

OE
[Reveal] Spoiler:
For (1), pick some numbers.
A = 7, B = 3, C = 4, D = 6 → C + B = 7
A = 1, B = 9, C = 3, D = 7 → C + B = 12
No single value
Insufficient.

For (2), It does not even contain the variable C.
Insufficient.
Combined:
Notice in this problem that there are several sets of 2 variable terms and they're all equal.
From (2), (D – B) = (E + F) → C + D = D–B.
Add B to both sides and subtract D from both sides
→ C + B = 0.
Sufficient.

Hi, I want to know if we can solve Statement (1) without pick number, please.
I think it does not have C + B in equation, it is insufficient.

You don't really need to do anything in statement (1)

(1) A + B = C + D = E + F
Each equation you can make has 4 different variables in it. We don't have the value of any variable. Hence, there is no way you can find the value of B+C.
B and C could innumerable values and their sum could be anything.

Using both statements together,
A + B = C + D = E + F
(E + F) = (D – B), focus on B and C and eliminate as many variables as you can

you get C + D = D - B
B + C = 0

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Senior Manager
Joined: 06 Aug 2011
Posts: 400
Followers: 2

Kudos [?]: 212 [0], given: 82

Re: What is the value of C + B? (1) A + B = C + D = E + F [#permalink]

### Show Tags

05 Feb 2014, 23:02
VeritasPrepKarishma wrote:
goodyear2013 wrote:
What is the value of C + B?
(1) A + B = C + D = E + F
(2) (E + F) = (D – B)

OE
[Reveal] Spoiler:
For (1), pick some numbers.
A = 7, B = 3, C = 4, D = 6 → C + B = 7
A = 1, B = 9, C = 3, D = 7 → C + B = 12
No single value
Insufficient.

For (2), It does not even contain the variable C.
Insufficient.
Combined:
Notice in this problem that there are several sets of 2 variable terms and they're all equal.
From (2), (D – B) = (E + F) → C + D = D–B.
Add B to both sides and subtract D from both sides
→ C + B = 0.
Sufficient.

Hi, I want to know if we can solve Statement (1) without pick number, please.
I think it does not have C + B in equation, it is insufficient.

You don't really need to do anything in statement (1)

(1) A + B = C + D = E + F
Each equation you can make has 4 different variables in it. We don't have the value of any variable. Hence, there is no way you can find the value of B+C.
B and C could innumerable values and their sum could be anything.

Using both statements together,
A + B = C + D = E + F
(E + F) = (D – B), focus on B and C and eliminate as many variables as you can

you get C + D = D - B
B + C = 0

Statement 1 and 2 both are insufficient to get the value C-B..

St(1) and st(2) togather..

A+B=C+D=E+F
E+F=D-B
So,

A+B=C+D=D-B

A+B+B=C+D-B=D
A+2B=C+D-B=D
A+2B-D=C+D-D-B=0
A+2B-D=C-B=0

so C-b=0..so both statement togather are sufficient..

Is this correct ?? experts?
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Manager
Joined: 23 Jun 2008
Posts: 85
Location: Australia
Schools: AGSM '22
GMAT Date: 04-01-2014
Followers: 1

Kudos [?]: 45 [0], given: 24

Re: What is the value of C + B? (1) A + B = C + D = E + F [#permalink]

### Show Tags

05 Feb 2014, 23:13
Hi Sanjoo, the question stem says "C+B = ?" not "C-B"

So if we combine S1 and S2 together
A+ B = C+D = E+F = D - B

C + D =D - B
which leaves us with C + B = 0
_________________

Kudos (+1) if you find this post helpful.

Director
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 501
Location: India
GMAT 1: 780 Q51 V46
Followers: 93

Kudos [?]: 459 [0], given: 6

Re: What is the value of C + B? (1) A + B = C + D = E + F [#permalink]

### Show Tags

05 Feb 2014, 23:38
[quote="goodyear2013"]What is the value of C + B?
(1) A + B = C + D = E + F
(2) (E + F) = (D – B)

Combining the statement we get:

C + D = D - B which means C = - B

C + B = -B + B = 0
_________________

Enroll for our GMAT Trial Course here -
http://gmatonline.crackverbal.com/

Learn all PS and DS strategies here-
http://gmatonline.crackverbal.com/p/mastering-quant-on-gmat

Re: What is the value of C + B? (1) A + B = C + D = E + F   [#permalink] 05 Feb 2014, 23:38
Similar topics Replies Last post
Similar
Topics:
1 If a, b, c is an integer, what is value of a+b+c? 3 15 Feb 2017, 11:23
3 What is the value of B if a = b/c^2 ? 9 13 May 2015, 23:47
5 a^b=c If a, b and c are integers, what is the value of a? 3 20 Apr 2017, 23:17
6 What is the value of b + c ? 3 11 Aug 2016, 23:59
28 If a, b, and c are integers, what is the value of a? 10 23 Dec 2016, 15:41
Display posts from previous: Sort by