In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
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Question: Problem: in a race where 8 cars are running , the chance that car x will win is 1 / 2 , that y will win is 1 / 4 and that z will win is 1 / 3 . assuming that a dead heat is impossible , find the chance that one of them will win . 
Options: a ) 1 / 140 , b ) 11 / 12 , c ) 14 / 8 , d ) 13 / 12 , e ) 57 / 120

Answer: d


Question: Problem: if x is real , find the maximum value of the expression - 2 x ^ 2 + 5 x + 7 . 
Options: a ) 6.125 , b ) 8.125 , c ) 10.125 , d ) 12.125 , e ) 14.125

Answer: c


Question: Problem: everyone shakes hands with everyone else in a room . total number of handshakes is 120 . number of persons = ? 
Options: a ) a . 14 , b ) b . 12 , c ) c . 11 , d ) d . 15 , e ) e . 16

Answer:
e