Question 1199189
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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>
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>
So look for the pattern of the numbers of riders after the even-numbered stops.<br>
After stop #2 (the 1st even-numbered stop): 11-5 = 6
After stop #4 (the 2nd even-numbered stop): 6+(11-5) = 12
After stop #6 (the 3rd even-numbered stop): 12+(11-5) = 18<br>
The pattern is clear: after the n-th even-numbered stop, the number of riders is 6n.<br>
Now find at which even-numbered stop the number of riders is greater than 154:<br>
6n > 154
n > 154/6 = 25 2/3<br>
It is after the 26th even-numbered stop that the number of riders is first greater than 154.<br>
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>
ANSWER: d) 53<br>