document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199189>Question 1199189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus driver who starts with a large empty bus picks us 11 riders at every odd- numbered stop and drops off 5 riders at every even-numbered stop. The stop after which the bus will first contain more than 165 passengers is stop number<BR>\n" );
document.write( " a) 27 b) 28 c) 52 d) 53 e) 55 </SPAN>\n" );
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document.write( "To start with, we can eliminate answer choices b and c because they are even numbers, and the number of riders on the bus DECREASES at each even-numbered stop.<br><BR>\n" );
document.write( "The number of riders increases by 11 at every odd-numbered stop, so the number of riders will surpass 165 when the number of riders after an even-numbered stop is greater than 165-11 = 154.<br><BR>\n" );
document.write( "So look for the pattern of the numbers of riders after the even-numbered stops.<br><BR>\n" );
document.write( "After stop #2 (the 1st even-numbered stop): 11-5 = 6<BR>\n" );
document.write( "After stop #4 (the 2nd even-numbered stop): 6+(11-5) = 12<BR>\n" );
document.write( "After stop #6 (the 3rd even-numbered stop): 12+(11-5) = 18<br><BR>\n" );
document.write( "The pattern is clear: after the n-th even-numbered stop, the number of riders is 6n.<br><BR>\n" );
document.write( "Now find at which even-numbered stop the number of riders is greater than 154:<br><BR>\n" );
document.write( "6n > 154<BR>\n" );
document.write( "n > 154/6 = 25 2/3<br><BR>\n" );
document.write( "It is after the 26th even-numbered stop that the number of riders is first greater than 154.<br><BR>\n" );
document.write( "The 26th even numbered stop is stop number 52; so it is after the 53rd stop that the number of riders first surpasses 165.<br><BR>\n" );
document.write( "ANSWER: d) 53<br><BR>\n" );
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