document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845303>Question 845303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a whole number N is divided by 2, the remainder is 0. When N is divided by 3, the remainder is 2. Which is a possible value of N?<BR>\n" );
document.write( "(A) 17<BR>\n" );
document.write( "(B) 30<BR>\n" );
document.write( "(C) 49<BR>\n" );
document.write( "(D) 53<BR>\n" );
document.write( "(E) 74 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509216 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=509216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"When a whole number N is divided by 2, the remainder is 0\" so the number is even.\r<BR>\n" );
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document.write( "\"When N is divided by 3, the remainder is 2\" which means that the digits must add to some number p, that when divided by 3, gives you a remainder of 2 again.\r<BR>\n" );
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document.write( "Notice how 1+7 = 8 and 8/3 = 2 remainder 2...but...17 is NOT even. So A is out\r<BR>\n" );
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document.write( "30 is even and 3+0=3 but 3/3 = 1 remainder 0, and we want remainder 2. So B is out.\r<BR>\n" );
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document.write( "49 is odd, so C is out\r<BR>\n" );
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document.write( "53 is odd, so D is out\r<BR>\n" );
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document.write( "74 is even and 7+4 = 11 ---> 11: 1+1 = 2, this means that 74/3, 11/3 both give remainders of 2.\r<BR>\n" );
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document.write( "So <font color=\"red\">(E) 74</font> is the answer. </SPAN>\n" );
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