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GMAT: Data Sufficiency Question #1

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Question:
 Does the average of  a, b,  and  c  equal  c?
   
 Statement (1):  c  -  a  =  c  +  b
 Statement (2):  c  =  0


Choices:
A. Statement(1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D. EITHER statement BY ITSELF is sufficient to answer the question.
E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question and more data pertaining to the problem is required.

 First, look at the question stem. You have to determine what kind of 
 information you will need to answer the question. In this case, you would 
 need to use the average formula: Average = Sum   ÷   Number of Terms. 
 So the question here is: Does  ( a  +  b  +  c )  ÷  3  =  c?


 In order to answer this question, you would need to know the sum of  a
 and  b,  and the value of  c.  Now you can turn to the statements. You can 
 start with either statement, and since statement (2) looks simpler, start 
 with that. You are told that  c  =  0.  That does not help you find the sum of 
a  and  b,  so (2) is insufficient. 
   
 Now look at Statement (1). You can rearrange this equation by adding  a
 and subtracting  c  from each side, leaving you with  a  +  b  =  0.  This 
 does not tell you the value of  c,  so it is insufficient as well. 
   
 Now look at both statements together. You now have the sum of  a  and  b
 and the value of  c,  so you can answer the question. The correct answer 
 to this question, then, is choice (3). 
 

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