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Question
Abby, Ben, Charlie, and Dave are neighbors. Ben lives at the same distance from Abby as he does from Charlie. Similarly, Dave lives at the same distance from Charlie as he does from Abby. If the lines that connect the houses are at right angles to each other, find the person who lives furthest from Dave.
Abby, Ben, Charlie, and Dave are neighbors. Ben lives at the same distance from Abby as he does from Charlie. Similarly, Dave lives at the same distance from Charlie as he does from Abby. If the lines that connect the houses are at right angles to each other, find the person who lives furthest from Dave.
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Solution
The correct option is C Ben
As per the conditions, the houses of the four neighbors form the vertices of a square as shown below:
Hence, among the four neighbours, Ben lives the furthest from Dave.
As per the conditions, the houses of the four neighbors form the vertices of a square as shown below:
Hence, among the four neighbours, Ben lives the furthest from Dave.
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