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So we have 6 types of artwork, let's call them A, B, C, D, E, and F
And we have 3 types of galleries, let's call them GA, GB, and GC

The following are the constraints mentioned:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery (This means, A and B will always be together either in GA or GB)
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork (This means, C and E cannot be together)
  • The Folk artwork is displayed in Gallery C. (This means F is in GC)

Let's use a hit and trial method with the given constraints:

Trial 1:
Since A adn B are always together and we know GB is going to have 3 artworks (most of all 3 galleries), let's put A and B in GB
We already have F in GC
From the remaining C,D, and E; we know C and E cannot be together, so let's move C to GB and keep DE in GA

This is what it looks like now:
  • GA: D, E
  • GB: A,B,C
  • GC: F
Notice how in the ansr choices, for GA we don't have an option for D,E; so we will have to move things around

Trial 2:
Let's move D from GA to GB. And move C from GB to GC

This is what it looks now:
  • GA: E
  • GB: A,B,D
  • GC: C,F

All our constraints are being met now:
  • GB has 3 artworks
  • A and B are together
  • C and E are not together
  • F is in GC

Looking at the answer choices now:

For Gallery A: Expressionist only
For Gallery C: Cubist and Folk only
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A,B,C,D,E,F are 8 art work
1,2,3, Are 3 gallery

Basis the info below possibility is possible:
1: C,D
2: A,B,E
3: F
or
1: C
2: A,B,E
3: F,D
or
1: DE
2: A,B,C
3: F
or
1: D
2: A,B,C
3: F,E
& TWO MORE

but lets look at options:
For gallery 1: lets remove all folxs options as it is already displayed in gallery 3
We are left with option 3,4,5 then option 4 is not possible as A & B cant be in gallery because they are together and gallery 2 needs to have 3 display then gallery 2 is left with C,D,E and C & E cant be together

Hence for gallery 1 we can only choose either option 3 or option 5

lets take a pause and look at gallery 3. lets remove all options that doesn't include F:
we are left with option 1,2 and option 6

If in gallery 1 we choose option 3 then Gallery 3 cant have option 1,2 as cubist is taken and last option is not possible as in gallery 3 we need to have two display

If we pick option 5 which is E only then Gallery 1 can have E and gallery 2 needs to have F,D or F,C
SO WE CAN CHOOSE OPTION 2
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Since Gallery B has 3 Paintings, Gallery A & C together have 3 Paintings with each of them with at least one.
The only possible combination is (2,3,1) OR (1,3,2)

Paintings A&B are together, so there are three cases:
Gallery A- This implies first combination which means Gallery C has 1 Painting, which is F. Then A will have CDE Paintings but C & E cannot be together. This case is ruled out.
Gallery C- F plus A&B will mean three paintings, not possible. Ruled Out.

This means, Gallery B has Paintings A&B, plus any one out of C/D/E.

There are multiple scenarios where Gallery B has A&B both, plus C&E are not together. Keeping in mind all the restraints, the only possible scenario from the options is
GA- E
GB- A,B & D
GC- F&C
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Bunuel
 


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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.
A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. Let the artworks be denoted as A,B, C, D, E, F.

There are three galleries Gal A, Gal B, and Gal C.

Conditions:

1. Each artwork is displayed only in one Gallery.

2. No gallery is empty - which means ( Gal A, Gal B, Gal C) >0

3. Number of artworks in Gal B = 3.

4. Artwork (A,B) are together. But not in Gal C.

5. C and E are displayed at different gallery.

6. Artwork F is in Gal C.

We need to find the artwork in Gal A and Gal C from the given choices.

Solution:

If Artwork A,B are assigned to Gal A. There, are three artworks remaining C,D,E which has to be assigned to Gal B. Which is not possible as it violates condition 5.

So, the artwork A,B are assigned to Gal B. With F assigned to Gal C. We are left with three options C,D,and E for Gal A.

C and E cannot be together.

Case 1:

Gal A: D,E

Gal B : A,B,C

Gal C : F

Case 2:

Gal A : E

Gal B : A,B,D

Gal C : C,F

Case 3:

Gal A : C,D

Gal B: A,B,E

Gal C: F

Case 2 match with the options.

Gal A : Expressionist only.

Gal C : Cubist and Folk.
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Since Folk must go in Gallery C and Baroque/Abstract must be together (but not in C), we can try different scenario


If Baroque and Abstract go to Gallery A, the remaining artworks (Cubist, Digital, Expressionist) would all need to go to Gallery B to make it have exactly 3 pieces. But then Cubist and Expressionist would be together, breaking the rule that they must be separate.

So Baroque and Abstract must go to Gallery B instead. Gallery B needs exactly 3 pieces, so it needs one more artwork. if we add Digital, then we can have:
  • Gallery B: Baroque, Abstract, Digital

remaining artwork, i.e Cubist and Expressionist can be split between Gallery A and Gallery C. Since they can't be together and Gallery C already has Folk, we have
  • Gallery A: Expressionist Only
  • Gallery C: Cubist and Folk only
This satisfies all the conditions
- Gallery B has 3 pieces
- Baroque/Abstract are together but not in C
-Cubist/Expressionist are separated, and Folk is in C
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Here Gallery B has exactly 3 artwork types
So let a and b be in gallery B

Then three artworks cannot be in gallery C,so eliminate all option like that
Next in the option list there is c and f,or f only for gallery c.

And c and e cannot be together in a gallery
That means e could be in gallery a and then c and f could be in gallery c.
Hence Expressionist in gallery A and Cubist and Folk in gallery C


Bunuel
 


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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.
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The Folk artwork is displayed in Gallery C => Considering only 3 options (which includes Folk) for Gallery C:
1) Cubist, Folk, and Digital only
2) Cubist and Folk only
3) Folk Only

Each artwork type is displayed in exactly one gallery => Considering 3 option left (which not includes Folk) for Gallery A:
5) Cubist only
6) Baroque and Abstract only
7) Expressionist Only

Exactly three types of artwork are showcased in Gallery B + no gallery is empty => 1) is impossible, because in case 1), there is no artwork in gallery A because artwork in Gallery A + Artwork in Gallery C should be 6-3=3 => Option 3) should be chosen with 6) only (because gallery B has exactly 3 artworks). And option 2) should be chosen with 5) or 7) only.

In case 3) and 6): Impossible because there are 3 artwork left in B: Cubist, Expressionist and Digital, but the Cubist artwork is displayed in a different gallery from the Expressionist artwork.

In case 2) and 5): Impossible because each artwork type is displayed in exactly one gallery (Cubist can't be in gallery A and C in same time).

In case 2) and 7): Gallery B: Abstract, Baroque, Digital is possible

=> Gallery A: Expressionist Only, Gallery C: Cubist and Folk only;
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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.
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Answer:
Gallery A: Expressionist Only.
Gallery B: Cubist and Folk Only.

Rules applied:
  1. The Folk artwork is displayed in Gallery C.
  2. The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  3. Exactly three types of artwork are showcased in Gallery B.
Our draft so far:
Gallery AY-
Gallery BBaroque AbstractArtwork X
Gallery CFolk-
Notice that: Baroque and Abstract cannot be in gallery A, because if they were, to fulfill the rule (3) of 3 artworks being in Gallery B, we would violate Expressionist and Cubist being in distinct Galleries, as they would have to be, to also fulfill the condition that "each artwork type is displayed in exactly one gallery".

Let's look at the Answer Choices:
Let's look for "Folk" answer choices, because they must be in Gallery C
  1. [color=#000000]Cubist, Folk, and Digital only[/color]
  2. [color=#000000]Cubist and Folk only[/color]
  3. [color=#000000]Folk Only[/color]

Notice that (1.) is quickly eliminated, because A would be empty.
Indeed, (2.) and (3.) are valid. Let's see why:

Testing for (2.): If Gallery C has Cubist and Folk, then Expressionist Artwork can either be in Gallery A or Gallery B.
  • Gallery A option: Notice there is an exact match for Expressionist Only, to be at Gallery A, in our answer choices. That's our answer.
  • Gallery B option: Then Digital Only would be at Gallery A. Notice there is not an answer choice for this option. But it's still valid.

Testing for (3.): If Gallery C has Folk Only, then Artwork X would have to either be Expressionist or Cubist, to fulfill the rule.
  • Artwork X is Expressionist: Then Gallery A would have to be Cubist and Digital Only. Notice there is not an answer choice for this option. But it's still valid.
  • Artwork X is Cubist: Then Gallery A would have to be Expressionist and Digital Only. Notice there is not an answer choice for this option. But it's still valid.
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Knowns -

A _
B _ _ _
C (ab) f

Also, c - e cannot be together

for B must have a,b to satisfy the condition to have 3 arts.
Now B can also have one of c/d/e

Now looking at options - Top down..
C cannot have 3 arts as each must have atleast one. Rejected.

C has c and f (satisfies all constraints), A can have d/e - As d is not give as an option, only consistent option in A has e.

Hence, C - Cubist and Folk, and A has Expressionist only.
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Neither A nor C can have 3 arts.
if C has Folks only, then Cubist & Expressionist will be together, which is not permissible.
if C has Folks & cubist, then A could have Expressionist.
Thus arrangement can be like this:

Gallery A= E
Gallery B= B,A, and D
Gallery C= F & C

Ans E only and F&C
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Bunuel
 


This question was provided by GMAT Club
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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.

Gallery B must have three artwork

1. Gallery A has C only

Gallery B can have

A B _ (D, or E)

Gallery C can have F

and E (if D is in B)
and D (if E is in B)

But no such combination exist.

2. Gallery A has E only

Gallery B can have

A B _ (C, or D)

Gallery C can have F

and D (if C is in B)
and C (if D is in B)

We do have an option that says FC can be in Gallery C.

Hence

Gallery A : Expressionist Only
Gallery C : Cubist and Folk only
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I selected Expressionist only in Gallery A and Cubist & Folk only in Gallery C. We know that there are 3 types of artwork in Gallery B so I put Abstract and Baroque in there with Digital (random selection that was not in the option list). This leaves Cubist, Folk and Expressionist. Cubist and Expressionist can't be in the same Gallery and Folk has to be in Gallery C so I put Cubist and Folk in C and Expressionist by itself in A. To me, nothing else would have made sense given the options.

Note: I just started GMAT prep and there may be a better way to come to the correct conclusion but I'm happy to be practicing and learning from comments. Go Team Blue!

Bunuel
 


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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.
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took quite some time to solve

digital baroque and abstract are in the gallery B, cubist and folk are in C(since folk has to be in C), and expressionist has to be A, since Expressionist and Cubist cant be together
Bunuel
 


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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.
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Bunuel
 


This question was provided by GMAT Club
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A national art exhibition features six different types of artwork: Abstract, Baroque, Cubist, Digital, Expressionist, and Folk. These artworks are divided among three galleries: Gallery A, Gallery B, and Gallery C. Each artwork type is displayed in exactly one gallery, and no gallery is empty.

The following rules apply:

  • Exactly three types of artwork are showcased in Gallery B.
  • The Baroque and Abstract artworks are displayed together in the same gallery, but not in Gallery C.
  • The Cubist artwork is displayed in a different gallery from the Expressionist artwork.
  • The Folk artwork is displayed in Gallery C.

Select for Gallery A the set of artwork types displayed in Gallery A, and select for Gallery C the set of artwork types displayed in Gallery C, such that the two selections, from among the given options, would be jointly consistent with the information provided. Make only two selections, one in each column.

We are looking for a valid pair::

From the given conditions we can say that 3 groups A,B,C. Need to fit 6 art types a,b,c,d,e,f.


We know that
A - {} If ab are here then c,e has to be in B. Not possible.
B - { _, _ ,_}
C - {f} So we can't have ab

So we can deduce to

A {} Except c,e We can have all the possibilites.
B {a,b,_}
C {f}


The best way is to plug and see valid pairs.
1) A cannot take (c,f,d) as C will be 0, Not possible.
2) A (c,f) as f cannot be in A as per point 4.
3) A c, In this case we have 2 possible C (f,d) or (f,e). We don't have both so eliminated.

4) A e, In this case we have 2 possible C (f,d) or (f,c) We have a matching pair. (c,f).
5) A f not possible as f cannot be in A as per point 4.

IMO (A - Expressionist Only, C - Cubist and Folk only)
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Gallery A cannot have Option 1, Option 2 and Option 5 as folk is in Gallery C.

Possibility 1: A has Baroque and Abstract only

In this case Cubist and Expressionist must lie in B. This is not possible.

Possibility 2: A has Cubist only

B in that case can have

1. Abstract, Baroque, Digital

And C has Folk and Expressionist -- No such option exist

2. Abstract, Baroque, Expressionist

And C has Folk and Digital -- No such option exist

Eliminate this possibility as well.

So Gallery A has Expressionist Only

In this case Gallery B will have Abstract, Baroque, and Digital
Gallery C can have Cubist and Folk

Gallery A : Expressionist Only
Gallery C : Cubist and Folk only
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Abstract - a
Baroque - b
Cubist - c
Digital - d
Expressionist - e
Folk - f

Since B has to have exactly 3 art types, and a and b have to be together, a and b will be in Gallery B.

Since gallery C will have Folk, that leaves us with c,d,e.

Since c and e have to be in different galleries, and we have narrowed down our options, we can take a look at the option choices to see which fit the given scenario. Gallery B needs one more art type, hence option A is out since neither A and C can have 3 art types. Therefore d will also be put in Gallery B.

Since there is no f and e option, we choose f and c for gallery C, and that leaves us with e which belongs to Gallery A.

Ans.
Gallery A - e
Gallery C - f and c
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First, let's check out C GALLERY.
If we start with CFD coz GALLERY B needs three, then AB would be paired up and E would go to GALLERY B, which doesn't fit the options.

Next up,
GALLERY C gets CF.
GALLERY B definitely gets AB.
Now, let's look at the other options.
If E goes to GALLERY A, the leftover D goes to GALLERY B.
This way, all conditions are met.

So, the answer is:
GA = ONLY E
GC = C & F
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