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2003 AMC 8 Problem 17- Sibblings of Jim

Source:

July 23, 2011
AMC 8

Problem Statement

The six children listed below are from two families of three siblings each. Each child has blue or brown eyes and black or blond hair. Children from the same family have at least one of these characteristics in common. Which two children are Jim's siblings? ChildEye ColorHair ColorBenjaminBlueBlackJimBrownBlondeNadeenBrownBlackAustinBlueBlondeTevynBlueBlackSueBlueBlonde \begin{array}{c|c|c}\text{Child}&\text{Eye Color}&\text{Hair Color}\\ \hline \text{Benjamin}& \text{Blue} & \text{Black} \\ \hline \text{Jim} & \text{Brown} & \text{Blonde} \\ \hline \text{Nadeen} & \text{Brown} & \text{Black}\\ \hline \text{Austin}& \text{Blue} & \text{Blonde}\\ \hline \text{Tevyn} & \text{Blue} & \text{Black} \\ \hline \text{Sue} & \text{Blue} & \text{Blonde} \\ \hline \end{array}
<spanclass=′latex−bold′>(A)</span> Nadeen and Austin<spanclass=′latex−bold′>(B)</span> Benjamin and Sue<spanclass=′latex−bold′>(C)</span> Benjamin and Austin<span class='latex-bold'>(A)</span>\ \text{Nadeen and Austin} \qquad <span class='latex-bold'>(B)</span>\ \text{Benjamin and Sue}\qquad <span class='latex-bold'>(C)</span>\ \text{Benjamin and Austin}\qquad <spanclass=′latex−bold′>(D)</span> Nadeen and Tevyn<spanclass=′latex−bold′>(E)</span> Austin and Sue<span class='latex-bold'>(D)</span>\ \text{Nadeen and Tevyn} \qquad <span class='latex-bold'>(E)</span>\ \text{Austin and Sue}
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