A certain roller coaster ride has fewer than 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If riders are let on only in groups of 6 all riders will be able to get on the roller coaster. Which of the following could be the number of people in the line?  Choose the correct choice from the following choices:
A) 7	B) 22	C) 52	D) 67	E) 72
Total number of riders = 5p + 2 or 6q.   The first number that fits in is 12. Numbers following will be 12 + multiple of 30 ( LCM of 5 and 6).   Therefore, the total number of riders will be 30k+12.   12, 42, 72, 102 are the only possibilities as the number of riders is fewer than 110.   Among the given options 72 is the answer.   ANSW72R:72
<result>E</result>
A certain roller coaster ride has fewer than 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If riders are let on only in groups of 6 all riders will be able to get on the roller coaster. Which of the following could be the number of people in the line?