document.write( "Question 476568: Veeru says to Jay, \"Can you figure out how many Eggs I have in my bucket?\" He gives 3 clues to Jay: If the number of Eggs I have
\n" ); document.write( "1. is a multiple of 5, it is a number between 1 and 19
\n" ); document.write( "2. is not a multiple of 8, it is a number between 20 and 29
\n" ); document.write( "3. is not a multiple of 10, it is a number between 30 and 39
\n" ); document.write( "How many Eggs does Veeru have in his bucket? \n" ); document.write( "

Algebra.Com's Answer #326784 by ccs2011(207) $\"\"$ $\"About$

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Assume N is multiple of 5, therefore not a multiple of 8.
\n" ); document.write( "However, this leads to a contradiction N cannot both be between 1 and 19 and between 20 and 29.
\n" ); document.write( "Conclude then that N is not a multiple of 5.
\n" ); document.write( "If N is not a multiple of 5 then we can assume N is not a multiple of 10.
\n" ); document.write( "Since every multiple of 10 is also a multiple of 5.
\n" ); document.write( "Conclude that N is between 30 and 39.
\n" ); document.write( "However to avoid contradiction with statement 2. we must also conclude that N is a multiple of 8.
\n" ); document.write( "The only multiple of 8 between 30 and 39 is 32.
\n" ); document.write( "Therefore conclude that N is 32.
\n" ); document.write( "Veeru has 32 eggs in his bucket. \n" ); document.write( "

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