In a graduating class of 234 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Options
A) 144 B) 115 C) 113 D) 88 E) 31
Greatest Possible Number taken both should be 144 (As it is maximum for One)   Smallest Possible Number taken both should be given by   Total - Neither = A + B - Both   Both = A+B+Neither - Total (Neither must be 0 to minimize the both)   So 144 + 119 + 0 - 234= 
<gadget id="calculator">144 + 119 + 0 - 234</gadget>
<output>29</output>
29   Greatest - Smallest is  144-29= 
<gadget id="calculator"> 144-29</gadget>
<output>115</output>
115   So answer must be B. 115
<result>B</result>
In a graduating class of 234 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?