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 Simultaneous Operations - Pairs (Posted on 2012-03-03)

 No Solution Yet Submitted by brianjn No Rating

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The following are the smallest pairs that fulfill both the given task and yields a positive value:
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
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!

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
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!

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:
If a leading zero is not permitted, then the following may be the possible least values:

 Posted by Dej Mar on 2012-03-03 13:05:02

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