Which one of the following is a pair of products that could be advertised during the same week as each other?
BriannaCPDecember 13, 2020
Question 7
I chose answer C because I was able to fit H and O together. Can you tell me how my scenario may have been wrong?
Week 1: K,L
Week 2: M,J
Week 3: O,H
Week 4: G,J
and when I made a scenario for answer choce E, I got
Week 1: H,K
Week 2: G,J
Week 3: O,M
Week 4: L,L
Replies
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Let's start by going through what we can deduce from the rules.
Rule 1 - J is not advertised unless H is advertised during the preceding week.
This means that J cannot be the product that is advertised twice because this would mean that H would also need to be advertised twice.
Rule 2 - the product that is advertised two of the weeks is advertised during Week 4 but is not advertised during Week 3.
This means that the product that is advertised twice must either be advertised during Weeks 1 and 4 or Weeks 2 and 4.
Rule 3 - G is not advertised during a given week unless either G or O is also advertised that week
GJ or GO
Rule 4 - K is advertised during one of the first two weeks
Rule 5 - O is one of the products advertised during Week 3
This means that O cannot be the product that is advertised twice because that product is not advertised during Week 3.
Let's start by going through answer choice (E).
As O cannot be advertised twice, we know that M must also be advertised in Week 3.
We know that J must be advertised the week following H. Since Week 3 is full, this means that H must be advertised during Week 1 and J must be advertised during Week 2.
We also know that G cannot be advertised unless O or J is advertised that same week. Since O cannot appear twice, this means that G must be advertised during Week 2.
We also know that K must be advertised during one of the first two weeks. Therefore, K must be advertised during Week 1.
So, what do we have so far?
1: K H 2: G J 3: M O 4: _ _
The only remaining product is L. Therefore, L must be advertised during Week 4. However, there is no reason that L needs to be the product that is advertised twice.
We know that neither J nor O can be advertised twice. We also know that G cannot be advertised during Week 4 because it cannot be advertised unless J or O is advertised that same week.
However, there is no reason why H cannot be advertised during Week 4.
1: H K 2: G J 3: M O 4: L H
Therefore, it is possible for M and O to be advertised in the same week.
Answer choice (C) is incorrect because J is not advertised during a given week unless H is advertised during the immediately preceding week. Your scenario above requires that H is also advertised during Week 1; however, we know that only one product is advertised twice.
If we advertise O and H together, then they must be advertised during Week 3 as we know that O must be advertised during Week 3 and O can only be advertised once.
This means that J must be advertised during Week 4. As J cannot be advertised twice, this means that the other product that is advertised during Week 4 must be the product that appears twice.
1: _ _ 2: _ _ 3: O H 4: J _
Here we run into our problem. We know that neither J nor O can be advertised twice. This means that G must be advertised twice; however, G cannot be advertised unless J or O is also advertised during that week.
Therefore, it is impossible to advertise O and H during the same week.
Hope this helps! Please let us know if you have any further questions.
