document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883921>Question 883921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if K, a positive two-digit integer, is divided by 13, a remainder of 6 results. When the same number is divided by 6 or 7, the remainder is 3. What is the value of K?<BR>\n" );
document.write( "(A) 45<BR>\n" );
document.write( "(B)58<BR>\n" );
document.write( "(C)71<BR>\n" );
document.write( "(D)84<BR>\n" );
document.write( "(E)97 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533848 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try out each answer choice\r<BR>\n" );
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document.write( "A)\r<BR>\n" );
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document.write( "45/13 = 3 remainder 6<BR>\n" );
document.write( "45/6 = 7 remainder 3<BR>\n" );
document.write( "45/7 = 6 remainder 3\r<BR>\n" );
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document.write( "B)\r<BR>\n" );
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document.write( "58/13 = 4 remainder 6<BR>\n" );
document.write( "58/6 = 9 remainder 4 <--- Remainder is NOT 3, so it can't be choice B<BR>\n" );
document.write( "58/7 = 8 remainder 2 <--- Remainder is NOT 3, so it can't be choice B\r<BR>\n" );
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document.write( "C)\r<BR>\n" );
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document.write( "71/13 = 5 remainder 6<BR>\n" );
document.write( "71/6 = 11 remainder 5 <--- Remainder is NOT 3, so it can't be choice C<BR>\n" );
document.write( "71/7 = 10 remainder 1 <--- Remainder is NOT 3, so it can't be choice C\r<BR>\n" );
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document.write( "D)\r<BR>\n" );
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document.write( "84/13 = 6 remainder 6<BR>\n" );
document.write( "84/6 = 14 remainder 0 <--- Remainder is NOT 3, so it can't be choice D<BR>\n" );
document.write( "84/7 = 12 remainder 0 <--- Remainder is NOT 3, so it can't be choice D\r<BR>\n" );
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document.write( "E)\r<BR>\n" );
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document.write( "97/13 = 7 remainder 6<BR>\n" );
document.write( "97/6 = 16 remainder 1 <--- Remainder is NOT 3, so it can't be choice E<BR>\n" );
document.write( "97/7 = 13 remainder 6 <--- Remainder is NOT 3, so it can't be choice E\r<BR>\n" );
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document.write( "So the answer is <font color=\"red\">(A) 45</font> </SPAN>\n" );
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