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  <id>7993</id>
  <path>/www/nrich/html/content/id/7993/</path>
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  <last_published>0000-00-00T00:00:00</last_published>
  <indexXML>&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;p&gt;We know a, b and c are real numbers, abc is negative and (a-1)(b-1)(c-1) is positive. What can we deduce about a, b and c?&lt;/p&gt;&lt;/mdoxml&gt;</indexXML>
  <solutionXML/>
  <noteXML/>
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  <keystage1>0</keystage1>
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  <keystage3>1</keystage3>
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  <title>Numbers</title>
  <description>We know a, b and c are real numbers, abc is negative and (a-1)(b-1)(c-1) is positive. What can we deduce about a, b and c?</description>
</resource>