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What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) =

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Bunuel
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What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 00:15
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A
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E

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25% (medium)

Question Stats:

75% (01:24) correct 25% (01:37) wrong based on 115 sessions
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What is the value of C + B?

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


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C
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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 07:16
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1 and 2 definitely not sufficient.
combining we get ,

A + B = C + D = E + F = (D – B)

=> C+D = D - B

=>. B+c = 0 SUFFICIENT (C)





Bunuel wrote:
What is the value of C + B?

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


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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 00:38
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Bunuel wrote:
What is the value of C + B?

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


Question: C+B = ?

Statement 1: A + B = C + D = E + F

NOT SUFFICIENT

STatement 2: (2) (E + F) = (D – B)

NOT SUFFICIENT

COmbining the statements

A + B = C + D = E + F = (D – B)

i.e. C+D = D - B

i.e. B+c = 0

SUFFICIENT

Answer: Option C
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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 04:16
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Bunuel wrote:
What is the value of C + B?

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


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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

Answer (C)
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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 20:53
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Need C + B

Option 1: A + B = C + D = E + F
There is no information to find the value of the option C+B - Insufficient

Option 2:(E + F) = (D – B)
Same as above, there is no information about the value of the option C+B - Insufficient

Combining both the option (1) + (2)
Substitute E+F with (D-B)

C+D=D-B

C+D-D+B = 0
C+B = 0

Ans: C
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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 13:13
Combining both

A + B = C + D = E + F = D – B

C+D = D - B

B+C = 0

IMO C
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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink] New post   22 Oct 2020, 19:58
What is the value of C + B?

(1) A + B = C + D = E + F = K assume

As we have 3 equations and 6 variables, we cannot solve for C+B

(2) (E + F) = (D – B)

As we dont have attribute C in this equation, we cannot solve for C+B

S1+2 -> E+F = D-B = C+D -> B+C = 0

IMO C
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Re: What is the value of C + B? (1) A + B = C + D = E + F (2) (E + F) = [#permalink]
22 Oct 2020, 19:58
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