June 2007 LSAT Section 1 Question 4

# Any of the following pairs could be the third and fourth digits, respectively, of an acceptable product code, EXCEPT:

6 Replies

on March 9 at 06:23PM

What is a product code?on March 9 at 06:23PM

What is a product code?Ravi on March 12 at 05:49PM

@yuetngan,Great question. Yes, unless otherwise stated, all of the initial rules

are present throughout the entire game. I would recommend diagramming

the rules once for each game. Diagramming them for each question

wastes precious time and is not advisable.

There are some games where there is a rule substitution question at

the end where one or more of the rules is swapped out for another

rule. In these cases, it can be helpful to write the new rule next to

the question to help you make sure you understand it.

Regarding what a product code is, a product code is a unique

identifier, assigned to each finished/manufactured productwhich is

ready, to be marketed or for sale. A product code may also refer to:

Universal Product Code, common barcode used to identify packaged

products. Even if we don't know what a product code is, we can still

answer this question just fine. Don't concern yourself too much with

understanding what certain types of things are. Just make sure that

you can diagram what you're supposed to. For the purposes of this

game, a product code is just a series of five digits ranging from 0 to

4. That's really all we need to know, and that's given to us in the

initial rules.

Does this make sense? Let us know if you have any more questions!

audrey on June 5 at 12:43PM

Hi, what do they mean by respectively?audrey on June 5 at 12:48PM

Both A and E are right... right? How do I continue with this question?Ravi on June 7 at 07:26PM

By "respectively," they're referring to the order.Any of the following pairs could be the third and fourth digits, respectively...

(A) says "0, 1"

Third and fourth respectively means 0 and 1, so it's to let you know

that 0 would be in the third spot and 1 would be in the 4th spot.

(A) and (E) are not both right. Let's take a look at them.

We know an employee generates a series of 5-digit codes.

The digits used can be 0, 1, 2, 3, or 4.

Each digit is used exactly once.

The 2nd digit is double the 1st digit's value

The 3rd digit is less than the 5th digit.

1 2 _ _ _

2 4 _ _ _

The first and second digits have to be either 1 and 2 or 2 an 4

because those are the only two pairs of numbers are double/half of

each other, which allows us to satisfy the rule about the 2nd and 1st

digits.

Using our rules, we can solve for all possibilities of this game.

There are 6 possibilities for the game:

1 2 3 0 4

1 2 0 3 4

1 2 0 4 3

2 4 1 0 3

2 4 0 1 3

2 4 0 3 1

With (A), we have 0 and 1. We see that this can be a possibility (2 4

0 1 3), so (A) is out.

With (E), we do not see any board with 3 and 4 in the 3rd and 4th

positions, so this isn't possible. Thus, (E) is the correct answer

choice.

Hope this helps. Let us know if you have any more questions!