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gmatophobia
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All the apartments in a certain building are either three-bedroom apar 24 Feb 2024, 14:47
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64% (02:14) correct 36% (02:40) wrong based on 790 sessions

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All the apartments in a certain building are either three-bedroom apartments or four-bedroom apartments. The range of the monthly rents for all the apartments is $600, and the range of the monthly rents for the three-bedroom apartments is $200. What is the range of the monthly rents for the four-bedroom apartments?

(1) The lowest monthly rent for the four-bedroom apartments is $800.

(2) The lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments.

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Attachment:
photo_2024-02-18_20-23-08.jpg
photo_2024-02-18_20-23-08.jpg [ 89.4 KiB | Viewed 13101 times ]
 
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All the apartments in a certain building are either three-bedroom apar 25 Feb 2024, 07:13
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gmatophobia
All the apartments in a certain building are either three-bedroom apartments or four-bedroom apartments. The range of the monthly rents for all the apartments is $600, and the range of the monthly rents for the three-bedroom apartments is $200. What is the range of the monthly rents for the four-bedroom apartments?

(1) The lowest monthly rent for the four-bedroom apartments is $800.

(2) The lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments.

Show Spoiler
Attachment:
The attachment photo_2024-02-18_20-23-08.jpg is no longer available
 
­
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­Given
  • The range of monthly rent for all the apartments in the building is $600
  • The range of monthly rent for the three-bed apartments in the building is $200 

We can use a number line to solve this question and can represent the above information as shown below -

Attachment:
Screenshot 2024-02-25 192801.png
Screenshot 2024-02-25 192801.png [ 33.55 KiB | Viewed 16464 times ]

Statement 1

 ­(1) The lowest monthly rent for the four-bedroom apartments is $800.

While this statement provides the lowest rent for the four-bedroom apartments we don't know where in the number line the lowest rent falls. For example, this apartment could be the apartment with the lowest rent among all apartments in the building as shown below (denoted by the red dot)-

Attachment:
Screenshot 2024-02-25 192722.png
Screenshot 2024-02-25 192722.png [ 14.85 KiB | Viewed 15991 times ]
or the lowest apartment can be anywhere else on the number line. Therefore the distance from the highest rent will differ. Also, we don't know if the apartment with the highest rent is a four-bedroom apartment.
Attachment:
Screenshot 2024-02-25 193006.png
Screenshot 2024-02-25 193006.png [ 14.46 KiB | Viewed 15864 times ]

Hence, this statement alone is not sufficient and we can eliminate A, and D.

Statement 2

(2) The lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments.

As the lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments, we can infer the following -
  • The lowest rent of all apartments in the building is that of a three-bedroom apartment.
  • The highest rent of all apartments in the building is that of a four-bedroom apartment.

We can represent the information on the number line as shown below -
Attachment:
Screenshot 2024-02-25 194007.png
Screenshot 2024-02-25 194007.png [ 99.47 KiB | Viewed 15713 times ]
The range of the monthly rents for the four-bedroom apartments = 600 - (100 + 200) = 300

The information provided in Statement 2 is sufficient to answer the question.

Option B

 ­­­­­­­­­­­­­­­­­­­­­­­­­­­­
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All the apartments in a certain building are either three-bedroom apar 25 Feb 2024, 13:30
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gmatophobia

gmatophobia
All the apartments in a certain building are either three-bedroom apartments or four-bedroom apartments. The range of the monthly rents for all the apartments is $600, and the range of the monthly rents for the three-bedroom apartments is $200. What is the range of the monthly rents for the four-bedroom apartments?

(1) The lowest monthly rent for the four-bedroom apartments is $800.

(2) The lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments.

Show Spoiler
Attachment:
photo_2024-02-18_20-23-08.jpg
 
­
­Given
  • The range of monthly rent for all the apartments in the building is $600
  • The range of monthly rent for the three-bed apartments in the building is $200 

We can use a number line to solve this question and can represent the above information as shown below -

Attachment:
Screenshot 2024-02-25 192801.png

Statement 1

 ­(1) The lowest monthly rent for the four-bedroom apartments is $800.

While this statement provides the lowest rent for the four-bedroom apartments we don't know where in the number line the lowest rent falls. For example, this apartment could be the apartment with the lowest rent among all apartments in the building as shown below (denoted by the red dot)-

Attachment:
Screenshot 2024-02-25 192722.png
or the lowest apartment can be anywhere else on the number line. Therefore the distance from the highest rent will differ. Also, we don't know if the apartment with the highest rent is a four-bedroom apartment.
Attachment:
Screenshot 2024-02-25 193006.png

Hence, this statement alone is not sufficient and we can eliminate A, and D.

Statement 2

(2) The lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments.

As the lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments, we can infer the following -
  • The lowest rent of all apartments in the building is that of a three-bedroom apartment.
  • The highest rent of all apartments in the building is that of a four-bedroom apartment.

We can represent the information on the number line as shown below -
Attachment:
Screenshot 2024-02-25 194007.png
The range of the monthly rents for the four-bedroom apartments = 600 - (100 + 300) = 200

The information provided in Statement 2 is sufficient to answer the question.

Option B

 ­­­­­­­­­­­­­­­­­­­­­­­­
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­If you could kindly check, statement 2 analysis.

I think range for \(3\) bedroom apts is \(200\) and not \(300\). So the range for \(4 \) bedroom apts comes to be \(300.\) Thank you.­­
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All the apartments in a certain building are either three-bedroom apar 25 Feb 2024, 13:42
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stne
­If you could kindly check, statement 2 analysis.

I think range for \(3\) bedroom apts is \(200\) and not \(300\). So the range for \(4 \) bedroom apts comes to be \(300.\) Thank you.­­
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­Corrected the typo. Thanks! 
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All the apartments in a certain building are either three-bedroom apar 11 Jul 2024, 07:53
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so even If we are given that there are 2 categories of apartments where we can assume that the 3 room apartment is more expensive than the 4 room apartment, as long as we are not clearly provided with this information, like in S2, we are not able to infer that? Is this treated like outside knowledge? Are there more of this sort of questions?
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All the apartments in a certain building are either three-bedroom apar 12 Jul 2025, 11:21
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There is no outside knowledge, when you read the question stem, it will always lack info that is what a data sufficiency question means. We need to think of all the cases in case mutiple are possible and if a statement help us pick one and asnwer our question ONLY in ONE WAY, for value questions it should be ONLY 1 VALUE and for YES and NO, all the cases after a statement should give us one value.

Here from statement one, there were two possibilities and additionally it didn't help us answer our question either way, basically data was insufficient to calculate what we needed to.

In statement two, it makes it clear that 4 bedroom apartment are indeed expensive than 3 bed room apartment and the lowest 4 bedroom apt is 100$ expensive than highest 3 Bedroom apt.

Let me know if this resolves your doubt, as clearly S2 does provide this info and we can infer that. No outside knowledge should be ever used unless stated in DS or even in CR for verbal or any GMAT question.

SergejK
so even If we are given that there are 2 categories of apartments where we can assume that the 3 room apartment is more expensive than the 4 room apartment, as long as we are not clearly provided with this information, like in S2, we are not able to infer that? Is this treated like outside knowledge? Are there more of this sort of questions?
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All the apartments in a certain building are either three-bedroom apar 10 Sep 2025, 08:57
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Hi, would you mind to explain your train of thoughts why the statement where lowest 4 bedroom price is higher than lowest 3 bedroom price can inferred the info about the highest price 4 bedroom is higher than highest 3 bedroom? I think the info gap is around that part
Pr4n
There is no outside knowledge, when you read the question stem, it will always lack info that is what a data sufficiency question means. We need to think of all the cases in case mutiple are possible and if a statement help us pick one and asnwer our question ONLY in ONE WAY, for value questions it should be ONLY 1 VALUE and for YES and NO, all the cases after a statement should give us one value.

Here from statement one, there were two possibilities and additionally it didn't help us answer our question either way, basically data was insufficient to calculate what we needed to.

In statement two, it makes it clear that 4 bedroom apartment are indeed expensive than 3 bed room apartment and the lowest 4 bedroom apt is 100$ expensive than highest 3 Bedroom apt.

Let me know if this resolves your doubt, as clearly S2 does provide this info and we can infer that. No outside knowledge should be ever used unless stated in DS or even in CR for verbal or any GMAT question.


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All the apartments in a certain building are either three-bedroom apar Updated on: 10 Sep 2025, 10:42
Originally posted by Bunuel on 10 Sep 2025, 10:41.
Last edited by Bunuel on 10 Sep 2025, 10:42, edited 3 times in total.
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Hi, would you mind to explain your train of thoughts why the statement where lowest 4 bedroom price is higher than lowest 3 bedroom price can inferred the info about the highest price 4 bedroom is higher than highest 3 bedroom? I think the info gap is around that part

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We are not told that. Check the second statement again:

All the apartments in a certain building are either three-bedroom apartments or four-bedroom apartments. The range of the monthly rents for all the apartments is $600, and the range of the monthly rents for the three-bedroom apartments is $200. What is the range of the monthly rents for the four-bedroom apartments?

(1) The lowest monthly rent for the four-bedroom apartments is $800,
(2) The lowest monthly rent for the four-bedroom apartments is $100 greater than the highest monthly rent for the three-bedroom apartments.

The range of the 3-bedroom apartments is $200.
The lowest 4-bedroom rent is $100 greater than the highest 3-bedroom rent.

So, the lowest 4-bedroom rent is $300 greater than the lowest 3-bedroom rent. Since the total range for all apartments is $600, the range for the 4-bedroom apartments must be $600 - $300 = $300.

(Lowest 3-bedroom) ----($200)---- (Highest 3-bedroom) --($100)-- (Lowest 4-bedroom) ------($300)------ (Highest 4-bedroom)

$200 + $100 + $300 = $600.
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