Interior decorator: All coffeehouses and restaurants are public places

Question

Interior decorator: All coffeehouses and restaurants are public places. Most well-designed public places feature artwork. But if a public place is uncomfortable it is not well designed, and all comfortable public places have spacious interiors.
If all of the interior decorator’s statements are true, then which one of the following must be true?

If all of the interior decorator’s statements are true, then which one of the following must be true?

(A) Any restaurant that has a spacious interior is comfortable.

(B) Most public places that feature artwork are well designed.

(C) Most coffeehouses that are well designed feature artwork.

(D) Any well-designed coffeehouse or restaurant has a spacious interior.

(E) Any coffeehouse that has a spacious interior is a well-designed public place.

minustark · Accepted Answer

I interpreted this question in the following way :

Public places (coffeehouses and restaurants) > not all public places are C & Rs. so things inside () are subsets of the first thing.

Well-designed PP (Has Artwork)>> Well designed PPs has artwork, but any place with artwork may or may not be well designed. So B is out. C is out of scope too as it states a correlation which is not described here.

Uncomfortable PP (Not Well designed) or comfortable pp (well-designed)

Comfortable PP (Spacious interiors)> Comfortable public places obviously has spacious interiors. But any place with spacious interior is not necessarily comfortable. This eliminates A.

D and E state an indirect correlation between well designed pps and spacious interiors. From the () list we can say, to be spacious is mandatory for being a comfortable places and a comfortable place is well-designed. So, a well designed place also has spacious interior, that makes D the CA.

shrgmat · Answer

This is from LSAT & this is an incredible question. It is a "must be true" question (inference in GMAT).
This is like a set problem.

1. Public places is a bigger set containing all coffee houses and all restaurants AND OTHER places.
2. Out of 100  well designed public places , 51 feature art work  (MOST) . This means, 49 well designed public places don't feature artwork. There can be public places that are NOT well designed and feature artwork (1000s of them or any number..)
3. Uncomfortable public place = Not well designed;  so the opposite is true - comfortable public place = well designed. 
4. Comfortable public places = spacious interiors but set of spacious interiors can be a bigger than the set of Comfortable public places. Comfortable public places = well designed and spacious interiors.

Now the options:
A - Definitely not MUST be true. It can be but set of spacious interiors is bigger than comfortable public places. Is restaurant a comfortable public place? It can be if it is well designed. Set of spacious interiors is bigger than set of comfortable places, which is equal to set of well designed places.
B - By 2 above, this is simply not MUST be true.
C - Coffee houses are public places. Most well designed public places feature art work. These most well designed public places can ALL be restaurants. So, C can be true but not MUST be true. All well designed coffee houses may fall into the category of well designed public places than don't feature artwork. Sheer number of well designed restaurants can be more than well designed coffee houses.
D- from 3 above, well designed coffee house = comfortable public place that has spacious interior. MUST BE TRUE.
E - from 4 above, this is not a must be true.

Pretty challenging question.

Shikhar22 · Answer

Wow. That’s some question and a half. Enjoyed reading your explanation. Thank you for sharing.

One doubt though, when you say in the point 3. That the opposite must be true. What rule is that? And what topic covers that? Thank you.

Posted from my mobile device

pardhu1212 · Answer

"Any well-designed coffeehouse or restaurant has a spacious interior." is the OA.

This is only possible if we assume that "a public place is comfortable if it is well-designed". But this is not mentioned in the passage. It only states "if a public place is uncomfortable it is not well designed". It means we have information about the case where a public place is "uncomfortable". We don't know whether all well-designed places are comfortable. So we don't know they have spacious interiors.

Can you please explain how option D is the correct answer?

Pooki · Answer

Interior decorator: All coffeehouses and restaurants are public places. Most well-designed public places feature artwork. But if a public place is uncomfortable it is not well designed, and all comfortable public places have spacious interiors.
If all of the interior decorator’s statements are true, then which one of the following must be true?

If all of the interior decorator’s statements are true, then which one of the following must be true?

(A) Any restaurant that has a spacious interior is comfortable.

(B) Most public places that feature artwork are well designed.

(C) Most coffeehouses that are well designed feature artwork.

(D) Any well-designed coffeehouse or restaurant has a spacious interior.

(E) Any coffeehouse that has a spacious interior is a well-designed public place.

I am confused with the OA, i dont see any prolems in both C and D
Precise: All coffees house and res are public places
 Most well-desiged public places feature artwork 
C states that Most well -designed coffees shop feature art work, i dont see any problems with it. This must be true bc all coffees shop are publics place so most well-designed coffees shop = most well designed pp=> feature artwork
D of course must be true

Shikhar22 · Answer

Stimulus says both restaurants and coffeehouses are public places. So when we talk about ‘most’ public places having artwork, they can be all restaurants and no coffe houses. ‘Most’ is ambiguous. In ‘must be true’ choice, correct answer must have zero ambiguity. Hope you get why C is wrong.

Posted from my mobile device

TheGraceful · Answer

Brilliant question. Let's break it down (BOIL is what Empower GMAT calls it

) . Premise 1: All coffeehouses and restaurants are public places. Premise 2: Most well-designed public places feature artwork. Premise 3: But if a public place is uncomfortable it is not well designed, and Premise 4: all comfortable public places have spacious interiors. (A) Any restaurant that has a spacious interior is comfortable. ==> Reversing the cause. Look at Premise-4, it says comfortable are spacious and not other way. Eliminate it (B) Most public places that feature artwork are well designed. ==> wrong. In fact its reverse. Look at premise-2. Well designed tend to/do feature artwork. Eliminate it. (C) Most coffeehouses that are well designed feature artwork. ==> May be true, may NOT be true (and hence NOT a MUST BE TRUE). Premise-2 talks of most public places but doesn't confirm about most coffeehouses. Eliminate it. (D) Any well-designed coffeehouse or restaurant has a spacious interior. ==> Answer choice talking about "any", so be cautious to see which subset exactly it represents. Let's hold on for now. (E) Any coffeehouse that has a spacious interior is a well-designed public place. ==> Answer choice talking about "any", so be cautious to see which subset exactly it represents. From premise 3 and 4, we can conclude that ' A well designed public place can NOT be uncomfortable and hence is spacious." However, spacious doesn't guarantee/doesn't mean well designed. Thus reversal of premise. Eliminate it. Since we are left with only one option - option D, that's our correct answer. (No matter how much we understand or like the only remaining option.)

kittle · Answer

KarishmaB

"But if a public place is uncomfortable it is not well designed" also means "if a public place is comfortable it is well designed" BUT "if a place is well designed it may/may not be comfortable" so how can we prove D?

KarishmaB · Answer

Given: But if a public place is uncomfortable it is not well designed, and all comfortable public places have spacious interiors. if a public place is uncomfortable it is not well designed, implies the following two things: Given a public place is uncomfortable, we can say it is not well designed. Given a public place is well designed, we can say it is comfortable. (because Not B implies Not A in 'IF' statements) All comfortable public places have spacious interiors. So we get that if a public place is well designed, we can say it is comfortable. Also, all comfortable public places have spacious interiors. This means all well designed places have spacious interiors. Answer (D) Check this video on conditionals to understand how to handle necessary and sufficient conditions: https://www.youtube.com/watch?v=MmlwcTlHZz8

playthegame · Answer

Here is another way of writing all the conditional logic, to get this question right you will need to be clear on necessary and sufficient conditions and the rules for conditional logic.

Here is how the argument breaks down:

All coffee houses nad restaurants --> Public spaces

Most well designed spaces --> Feature artwork

Well designed public space --> Comfortable

So then in summary we can start to write the chain as:

All Coffee houses and Restaurants -->> Public Spaces - -> Well designed PS --> Comfortable --> Spacious Interior

All Coffee houses and Restaurants -->> Public Spaces - -> Most Well Designed PS --> Feature Artwork

You will see that if you go along the direction of the arrow only C is correct, most other options are are tracing in the opposite direction of the arrow.

Hope this is helpful if the approach is flawed please point out as I am still learning condition logic thanks and Kudos!

venkycs98 · Answer

I disagree,

If uncomfortable -> Not well designed. 
What makes a place well designed could have several criteria and being comfortable is one of them, being comfortable is a  NECESSARY  condition, not a  SUFFICIENT  condition. This is CR 101
All the author is saying is that - If the place is uncomfortable, it's not well designed, can't read much from this.

The question is pretty terrible in my opinion

KarishmaB · Answer

The question is perfectly fine. 
You are given that " if a public place is uncomfortable it is not well designed." Whether we believe it to be true in real life or not doesn't matter. You have to take it to be true.  
 "if a public place is uncomfortable it is not well designed" also implies that "a well designed place is comfortable." Read up on conditional statements to understand this.   Again it doesn't matter whether in real life we agree with this or not. It is implied from the author's statement.

I may give a premise "All monkeys are intelligent" and you have to assume it to be true and evaluate the conclusion based on that. It doesn't matter whether they actually are or not. This is an LSAT question testing logic and reasoning.

Interior decorator: All coffeehouses and restaurants are public places

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Critical Reasoning (CR) Questions

Interior decorator: All coffeehouses and restaurants are public places

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards