The following are the smallest pairs that fulfill both the given task and yields a positive value: TASK I: (0,1) 0+1 = 1 : The Sum is Odd! 0-1 = -1 : The Difference is Odd! 0*1 = 0 : The Product is Even! 0/1 = 0 : The Quotient is an Integer! If a leading zero is not permitted, then TASK I: (2,1) 2+1 = 3 : The Sum is Odd! 2-1 = 1 : The Difference is Odd! 2*1 = 2 : The Product is Even! 2/1 = 2 : The Quotient is an Integer!

TASK II: (4,2) 4+2 = 6 : The Sum is Even! 4-2 = 2 : The Difference is Even! 4*2 = 8 : The Product is Even! 4/2 = 2 : The Quotient is an Integer! If a leading zero is not permitted, then TASK II: (2,1) 2+1 = 3 : The Sum is Odd! 2-1 = 1 : The Difference is Odd! 2*1 = 2 : The Product is Even! 2/1 = 2 : The Quotient is an Integer!

TASK III: (3,1) 3+1 = 4 : The Sum is Even! 3-1 = 2 : The Difference is Even! 3*1 = 3 : The Product is Odd! 3/1 = 3 : The Quotient is an Integer!

Assigning a different (positive) integer value to A,B,C,D,E,F,G and H where the pairs (AC, BD, GE and FH) yields a positive integer value and each pair is true for all four subtasks for at least one task -- the possible least values are: (6,3 [Task I]), (0,2 [Task II]), (8,4 [Task II]), and (5,1 [Task III]). If a leading zero is not permitted, then the following may be the possible least values: (6,2 [Task II]), (8,4 [Task II]), (5,1 [Task III]), and (9,3 [Task III]).