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In a game of luck, there is a 1 in 10 chance of winning $10, a 1 in 5 chance of winning $5, and a 1 in 2 chance of winning $2...
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SAT: Multiple-Choice Question #3

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Question:
 If   m  is a positive integer and  g  -  3  =  4m  , which of the following 
  could NOT be a value of  g  ? 


Choices:
A. 3
B. 7
C. 19
D. 67
E. 259

 Start by solving for   g  : The equation is saying that "  g  is three 
  more than a multiple of four." The lowest multiples of four are: 
  4, 16, 64, 256, 1,024. The corresponding values of   g  are:  
4  +  3  =  7  ,   16  +  3  =  19  ,  64  +  3  =  67  ,  256  +  3  =  259  , 
1,024  +  3  =  1,027  , and so on. The only answer choice that isn't 
 on this list is choice (A), 3. 


 

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