Of a certain group of 100 people, 40 graduated from High School L, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School L, did not graduate from College Y, and do not live in City Z ?  Choose the correct option:  A) 5  B) 15  C) 35  D) 65  E) 85
1. l+y+z+ly+yz+lz+lyz+ none=100. Fornoneto be maximum others have to be minimum   2. We know the underlined portions sum to 65 and that is the minimum value of others   3. Maximumnone= 100-65= 
<gadget id="calculator">100-65</gadget>
<output>35</output>
35=35
<result>C</result>
Of a certain group of 100 people, 40 graduated from High School L, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School L, did not graduate from College Y, and do not live in City Z ?