document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038890>Question 1038890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number N when divided by 5 leaves remainder 1 and when divided by 6 leaves remainder 3.  Find the remainder when N is divided by 30.\r<BR>\n" );
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document.write( "a) 19	b) 17	c) 15	d) 21\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653641 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> N is congruent to 1 modulo 5<BR>\n" );
document.write( "N is congruent to 3 modulo 6<BR>\n" );
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document.write( "N - 1 is divisible by 5<BR>\n" );
document.write( "N - 3 is divisible by 6<BR>\n" );
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document.write( "we can use the answers as remainders which are congruent to N<BR>\n" );
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document.write( "a) 19<BR>\n" );
document.write( "19 -1 = 18 is not divisible by 5<BR>\n" );
document.write( "b) 17<BR>\n" );
document.write( "17 -1 = 16 is not divisible by 5<BR>\n" );
document.write( "c) 15<BR>\n" );
document.write( "15 -1 = 14 is not divisible by 5<BR>\n" );
document.write( "d) 21<BR>\n" );
document.write( "21 - 1 = 20 is divisible by 5<BR>\n" );
document.write( "21 - 3 = 18 is divisible by 6<BR>\n" );
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document.write( "the answer is d, 21 since<BR>\n" );
document.write( "21 is congruent to 21 modulo 30<BR>\n" );
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