June 2007 - Sec 1 - Game 1 - Q5

Then turning our attention to the fifth and final question of the first game, "Which of

the following must be true about any acceptable product code . . . " We're looking again for

what must be true.

(A), There is exactly 1 digit between the 0 and the 1. Again, looking at our free

hypothetical that we just drew up from Question 4, you notice that there are no digits between

the 0 and the 1, so (A) does not have to be true, and (A) would be eliminated.

(B), There is exactly one digit between the 1 and the 2. Again, that does not have

to be true, looking at our scenario 1, and our hypothetical scenario 1 from Question

3, we notice that there is no space between 1 and 2. No digits, they are directly next

to each other, so (B) does not follow, and (B) would be eliminated.

(C), There are at most two digits between the 1 and the 3. Again, you notice from

scenario 1, we could actually have three digits in between the 1 and the 3. Have 1 be first,

3 be fifth, and there would be one, two, three digits in between, so (C) does not have to

be true, and (C) would be eliminated.

Moving to (D), There are at most, two digits between the 2 and the 3. Again, looking

at scenario 2, we see we could have three digits between the 2 and the 3. 2 could be

first, 3 could be fifth. Again, (D) does not have to be true, so (D) is out.

Which brings this process of elimination to (E), ?There are at most two digits between

the 2 and the 4. If you notice in scenario 1 where 2 is second, the latest we could have

4 is fifth, and that is exactly two spaces in between. At most, two, in that scenario.

Whereas in scenario 1, there is no space between 2 and 4. You notice there is at most two digits

between 2 and 4. So (E) must be true, and (E) would be the correct answer.

Alright, I hope that was helpful. Let's turn our attention to Game 2.