A company employee generates a series of five-digit productcodes in accordance ... ...

If the last digit of an acceptable product code is 1, it must be true that the
(A) first digit is 2
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in LG Sample 1: Basic Game

 
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Posted: 05/23/2011 15:07
I do not understand this because I thought that 2 comes, before 3? Please explain to me how you came up with this answer? Have a Blessed Week.
Sincerely,
Celes Mickle,
 
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Posted: 05/23/2011 22:28
Celes,

You're correct. 2 does come before 3.


First, let's take a look at what we get when we hit the reduce button for the question:


Inferences:
1. Since the fifth digit of the code must be more than the third, the fifth digit cannot be zero.

2. The second digit must be twice the first, and the only numbers available for the code are 1, 2, 3, 4, 5. Therefore, you can infer that one of the following two scenarios will arise:

Scenario A:
1 2 __ __ __

In scenario A, the 3RD slot can have either 0 OR 3, and the 5TH slot can have either 3 OR 4.


Scenario B:

2 4 __ __ __

In scenario A, the 3RD slot can have either 0 OR 1, and the 5TH slot can have either 1 OR 3.

-------------------------------------------------------


Okay, still with me?

Since 1 MUST be last, we know that we're going to have to go with scenario B.
This give us:
2, 4, __, __, 1


From this we can get our answer. Choice "A" is correct. The first digit MUST be 2.


If there is anything you're still having trouble with, let us know.


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Posted: 11/25/2011 08:20
Would there be any other inferences or negations possible based on the information given?
Contributor
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Posted: 11/27/2011 00:22
Christina,

You can also infer that since the value of the 3rd digit MUST be less than the value of the 5th, the 3rd digit MUST be 0 (since 1 is 5th).

This leaves only one slot unfilled. So 3 must go 4th.
 
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Posted: 07/12/2011 23:15
24031, the answer.
Contributor
 
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Posted: 08/11/2011 16:02
This post covers the setup for game 1. A subsequent post will give you the solution for question 1.
 
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Posted: 12/28/2011 06:10
This very confusing
Contributor
 
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Posted: 12/29/2011 02:12
Farley,

The Logic Games section is confusing at first. The only thing that makes it less confusing is practice.

That said, let us know what exactly you find confusing about this question, and we'll try to help.

 
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Posted: 07/02/2012 11:42
I still don't understand how 2 is first
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Posted: 07/02/2012 11:47
Never mind I got it!