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'.

Problem: what is the remainder when 14,451 × 15,654 × 16,783 is divided by 5 ? 
Options: a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 5
c

Problem: $ 350 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ? 
Options: a ) $ 200 , b ) $ 225 , c ) $ 250 , d ) $ 275 , e ) $ 300
c

Problem: if a - b = 5 and a 2 + b 2 = 34 , find the value of ab . 
Options: a ) a ) 4.5 , b ) b ) 12 , c ) c ) 15 , d ) d ) 18 , e ) e ) 20

a