When Cortez arrived in Mexico in A.D. 1519, he observed the inhabitants playing a ceremonial game with a rubber ball. The pre-Columbian inhabitants of Mexico began to use rubber around A.D. 1000. Thus, we can be sure that the game must have originated sometime between approximately A.D. 1000 and Cortez’ arrival.
= AD 1519 -> observed game w/ rubber ball
+/- A.D. 1000 -> Began to use rubber
Game -> invented b/t A.D. 1000 & A.D. 1519
What is the missing link here? Cortez learnt the game at AD1519 but we concluded that it was invented way back at around A.D. 1000. What If the game was invented in A.D 100? Then we can't say that It was originated b/t A.D 1000 & A.D. 1519. Perhaps the game was invented at A.D. 900, or maybe A.D. 200? Who knows? Without any further explanation, this is a big hole.
The author never mentioned the time of the creation of the game; he had no evidence to back this up. The only evidence he had was the date that rubber was found. Are rubber and the game related somehow? The conclusion is merely a wishful thinking without the proof of this relation.
The problem here is that the argument introduced: A game
WITH a rubber ball
Then concluded that: The time frame of the invention of the game
[with or without the rubber ball] What is the relationship between the game and the rubber ball?Let's check out the answer choices.
The conclusion reached above depends on which one of the following assumptions?
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(A) The pre-Columbian inhabitants of Mexico played games on all ceremonial occasions.
"GAMES", this is too general. The reasoning is concerned with only a ceremonial game WITH A RUBBER BALL. (A) is out.
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(B) The making of rubber balls was one of the earliest uses of rubber by the inhabitants of Mexico.
The making of rubber balls was one of the earliest...-> the game was invented at that time. No! The making of the ball has nothing to do with the invention of the game. One cannot conclude that unless there is a relationship between the rubber ball's created date and the game's created date. (B) is out.
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(C) The ceremonial game referred to was popular throughout Mexico.
Whether it is popular does not help the missing link.
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(D) The game had been played since its inception with a rubber ball.
The game...with a rubber ball. Hey there is a connection here: the game is invented at the same time that the rubber ball was created. Let's hang on to this.
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(E) The dating of the first use of rubber in Mexico was due to Cortez
Again this is similar to (B). No information about the use of rubber ball in the game. (E) is out.
Only D is left. (D) is our answer.