Same with this one question like before...

A park contains at most five of seven kinds of trees- firs, laurels, maples, oaks ,pines, spruces, and yews - consistent with the following conditions.

If maples are in the park,yews are not

if firs are in the park,pines are not

if yews are not in the park, then either laurels or oaks but not both, are in the park if it is not the case that the park contains both laurels and oaks, then it contains fir and spruces.

If the firs are not in the park, then which one of the following must be true.

A) Maples are not in the park

B ) Spruces are not in the park

C) Yews are not in the park

D) Pines are in the park

E) Spruces are in the park

i understand why A would be the right answer, however, can't D be true because if firs are not in the park then pines must be in the park as well..? The contapostive. why isnt the answer D

Okay so I understand the question just confused because two answers seem right to me! Maybe this will help someone with practices well?

Zeno's unfunished Furniture sells exactly four types of Furniture - Footstools, hutches, sideboards,tables,and vanities. Irene buys just four items, each of a different type, and each made of entirely of one kind of wood. Maple, Oak, Pine, or Rosewood. The following conditions govern Irene's Purchase.

'

4.if Irene buys a footstoll, she also buys a table made of the same wood.

5.Irene does not buy an oak tree

6.Exactly two of the items sge buys are made of the same kind of wood.

If Irene does not buy an intem made of maple, then each of the following must be true EXCEPT

A. Irene buys a footstool

B. Irene buys a pine hutch

C. Irene buys a rosewood sideboard

D.Irene buys exactly one item made of oak

E. Irene buys exactly two items made of pine.

I thought the answer was D not B because if she doesnt buy an item that is made of maple then she cant but a vanity which means she buys a footstool and if she buys a footsool then she buys a table made of the same wood..right? so that means if she buys one that is one type of wood then the other needs to be made of the same type of wood and the table cant be oak so that means she can't buy the footstool and table becaue its the same wood so wouldnt that make D false? Since they have to be the same?

MY THOUGHTS: It says that A is correct and I dont understand why? I get that it is elimination, but if Quasi has one that is higher than it wouldnt it be B? I am seeing that it doesnt say that four is the highest, that we shoudn't assume, but when you look at question A it says that Nice has two stars and headstrong has three stars making it that Nice is less that headstrong so that to me means that rating four must be the highest. So how can quasi be four and then headspace be three? It also says in the rule explanation that quasi cannot recive a rating of just 1 or two stars. I guess i am asking when they dont tell you what rating is the highest how can you know which anwser is right when they give you two possible anwsers? I am deff overthinking but just need someone to step by step clarify why it is question A!

ACTUAL QUESTION: A critic has prepared a review of exactly six music CDs- headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret untill the review was published, the following facts have been leaked the the pubilc.

RULES:

For each ratings, at least one but no more than two of the CDs received that rating.

Headstrong recived exactly one more star than NICE did.

Either Headstrong or Reunion received the same number of stars as In Flight did.

At most one CD. received the same number of stars as In Flight did.

At most one CD received more than stars than Quasi did.

Which one of the following could be an accurate matching of ratings to the CDS that received those ratings?

ANSWERS:

(A) One star: In Flight, Reunion; Two stars: Nice; Three stars: Headstrong;Four stars: Quasi, Sounds good.

(B) One star: In Flight, Reunion: Two stars: Quasi, Sounds Good: Three stars: Nice; Four Stars: Headstrong.

(C) One star: Nice; Two stars: Headstrong; three stars: In Flight, Sounds good;Four stars:Quasi, Reunion.

(D) One Star: Nice, Sounds good: Two stars: In Flight, Reunion; Three stars:Quasi; Four stars: headstrong

(E) One star: Sounds good; Two stars:Reunion;Three stars: Nice, Quasi; Four stars:Headstrong, In flight.