# June 2007 - Sec 1 - Game 1 - Q5

## Video Transcript:

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Then turning our attention to the fifth and final question of the first game, "Which of
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the following must be true about any acceptable product code . . . " We're looking again for
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what must be true.
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(A), There is exactly 1 digit between the 0 and the 1. Again, looking at our free
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hypothetical that we just drew up from Question 4, you notice that there are no digits between
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the 0 and the 1, so (A) does not have to be true, and (A) would be eliminated.
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(B), There is exactly one digit between the 1 and the 2. Again, that does not have
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to be true, looking at our scenario 1, and our hypothetical scenario 1 from Question
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3, we notice that there is no space between 1 and 2. No digits, they are directly next
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to each other, so (B) does not follow, and (B) would be eliminated.
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(C), There are at most two digits between the 1 and the 3. Again, you notice from
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scenario 1, we could actually have three digits in between the 1 and the 3. Have 1 be first,
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3 be fifth, and there would be one, two, three digits in between, so (C) does not have to
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be true, and (C) would be eliminated.
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Moving to (D), There are at most, two digits between the 2 and the 3. Again, looking
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at scenario 2, we see we could have three digits between the 2 and the 3. 2 could be
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first, 3 could be fifth. Again, (D) does not have to be true, so (D) is out.
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Which brings this process of elimination to (E), ?There are at most two digits between
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the 2 and the 4. If you notice in scenario 1 where 2 is second, the latest we could have
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4 is fifth, and that is exactly two spaces in between. At most, two, in that scenario.
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Whereas in scenario 1, there is no space between 2 and 4. You notice there is at most two digits
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between 2 and 4. So (E) must be true, and (E) would be the correct answer.
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Alright, I hope that was helpful. Let's turn our attention to Game 2.