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For the system of equations given, what is the value of c?

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For the system of equations given, what is the value of c?  [#permalink]

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New post 22 Aug 2019, 22:40
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (00:50) correct 18% (01:20) wrong based on 55 sessions

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CrackVerbal Quant Expert
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Re: For the system of equations given, what is the value of c?  [#permalink]

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New post 23 Aug 2019, 04:26
Looking at the equations given in the question, there are two equations where the variable c is defined in terms of another variable. They are:

6a – 5 = c and

8 – c = d which can be simplified to c = 8 – d.

Therefore, any statement that tells us anything about a or d is giving us sufficient data.

Statement I gives us data about a, from which we can find out the value of c to be 43. Statement I alone is sufficient.
Possible answer options are A or D. Answer options B, C and E can be eliminated.

Statement II gives us data about d from which we can find out the value of c to be 2. Statement II alone is sufficient. Answer option A can be eliminated.

The correct answer option is D, IMO.

Hope this helps!
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Re: For the system of equations given, what is the value of c?  [#permalink]

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New post 23 Aug 2019, 04:33
ArvindCrackVerbal wrote:
Looking at the equations given in the question, there are two equations where the variable c is defined in terms of another variable. They are:

6a – 5 = c and

8 – c = d which can be simplified to c = 8 – d.

Therefore, any statement that tells us anything about a or d is giving us sufficient data.

Statement I gives us data about a, from which we can find out the value of c to be 43. Statement I alone is sufficient.
Possible answer options are A or D. Answer options B, C and E can be eliminated.

Statement II gives us data about d from which we can find out the value of c to be 2. Statement II alone is sufficient. Answer option A can be eliminated.

The correct answer option is D, IMO.

Hope this helps!


but both statements lead to different values of C....nothing fishy in that???
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Re: For the system of equations given, what is the value of c?  [#permalink]

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New post 23 Aug 2019, 04:39
thyagi wrote:
ArvindCrackVerbal wrote:
Looking at the equations given in the question, there are two equations where the variable c is defined in terms of another variable. They are:

6a – 5 = c and

8 – c = d which can be simplified to c = 8 – d.

Therefore, any statement that tells us anything about a or d is giving us sufficient data.

Statement I gives us data about a, from which we can find out the value of c to be 43. Statement I alone is sufficient.
Possible answer options are A or D. Answer options B, C and E can be eliminated.

Statement II gives us data about d from which we can find out the value of c to be 2. Statement II alone is sufficient. Answer option A can be eliminated.

The correct answer option is D, IMO.

Hope this helps!


but both statements lead to different values of C....nothing fishy in that???


As long as you are getting a unique value when using a statement independently, that statement is sufficient. Data sufficiency is not about getting the same answer using the individual statements.

Yes, it is true that, on the GMAT, 99% of the times, when the answer is D, the answers that you get from the individual statements will match.
Hope that helps!
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Re: For the system of equations given, what is the value of c?  [#permalink]

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New post 16 Oct 2019, 04:51
Bunuel wrote:
6a - 5 = c
7b - a = 9
8 - c = d

For the system of equations given, what is the value of c?

(1) a = 8
(2) d = 6


6a-5=c; 8-c=d; 6a-5=8-d

(1) a = 8: 6a-5=8-d…6(8)-5=8-d…d=-35…d=8-c…c=8-(-35)=43 sufic.

(2) d = 6: 8-c=d…c=8-d…c=8-6=2; sufic.

Answer (D)
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Re: For the system of equations given, what is the value of c?   [#permalink] 16 Oct 2019, 04:51
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