Chapter Five

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Archie and Dojin are at another school for the Maths Olympiad.
Their classmates and Archie's parents go. Except for Dojin's busy father, only his father's secretary was there.

They even have banners for Archie and Dojin.

The quiz show has started and has three sets easy, moderate, and hard and when it comes to the hard question there are many to eliminate.

There are only four of them left.

There is a question for them.

Give the relationship that represents the dual of the Boolean property A + 1 = 1.
(Note: * = AND, + = OR, and '= NOT)
A * 1 = 1
A * 0 = 0
A + 0 = 0
A * A = A
A * 1 = 1

(A * 0 = 0 is CORRECT.)

They are all right and in the second question, they are nervous.

"I hope Archie and Dojin's opponent answered incorrectly," said Eeyore as he held the small banner when the host spoke.

Which of the following relationships represents the dual of the Boolean property x + x'y = x + y? Choose the best answer.
x '(x + y') = x'y '
x (x'y) = xy
x * x '+ y = xy
x '(xy') = x'y '
x (x '+ y) = xy

(x (x '+ y) = xy is CORRECT.)

They answered correctly Bodie and Eeyore jumped for joy.

"They won," Rose hugged their parents

They have already given their medical and scholarship and then the check.

Archie parents are crying they congratulate the school owner and thanked him for his scholarship and money.

Dojin's father was late to congratulate him on his and Archie's win.

Many also congratulated Dojin's father and said they would vote for him in the next election.

Reverend John was also invited.

"Reverend John, you can eat here," said their mother said.

"Thank you very much, Sister Mary," said Reverend John to their mother.

"Mom we were just there on the beach," Archie said to their mother.

"All right, as long as you're careful not to go away," said their mother and they went to sea with Archie's camera.

They are already on the beach but still, no one speaks.

"We'd better enjoy ourselves with Rose, let's take a lot of pictures and videos," Archie said and he took off his t-shirt also he carried Eeyore and they went to the sea.

"Don't worry everything will be okay,"  he held Rose's hand while they are having fun catching up on the beach later convinced him that whoever would bet to clif was given the money Archie made Eeyore's case uncontested because he became ill.

Archie and Dojin won. They threw Eeyore into the water.

Rose is now holding the camera so he tells them about that group photo. Bodie would not have because he was not there but he also forced it.

"It's almost sunset so let's watch," Dojin told them. "All right but you're eating when I'm hungry all the time," they eat while they're sounding because Eeyore has a cassette tape and a player.

"You know I don't like Reverend John because he can look at Rose differently if he has a desire," Archie said to them.

"He looks kind," Eeyore said and Archie just threw sand at him.

"Didn't he tell us that he was full of negative energy and I have something else he told us? The prayer of Reverend John a.k.a holy father was answered," Dojin said and Archie agreed.

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