I15-16

Question

The table presents data on building heights in certain U.S. locations, showing the number of buildings exceeding 100 meters and 150 meters.
      City   State   Height more than 150m    Height more than 100m   High rise city       A   CA   19   35   No       B   OR   57   70   No       C   CA   14   30   No       D   HI   61   75   Yes       E   HI   72   85   Yes       F   HI   24   40   No       G   HI   60   75   Yes       H   WA   47   60   No       I   OR   18   30   No       J   WA   14   30   No       K   CA   5   25   No       L   CA   14   30   No       M   OR   40   55   No       N   WA   20   35   No

For each of the following statements, select  Supported  if it is supported by the information in the table. Otherwise select  Not supported .

Bunuel · Answer

Official Solution:

Statement 1: 
 
There are four cities in HI, and their number of buildings over 100m is as follows:
 
• D: 75
 
• E: 85
 
• F: 40
 
• G: 75
 
There are 14 cities in total. To find the median, sort the number of buildings over 100m in ascending order:
 
25, 30, 30, 30, 30, 35,  35 ,  40 , 55, 60, 70, 75, 75, 85
 
The median is the average of the 7th and 8th values: (35 + 40)/2 = 37.5.
 
So, all cities in HI have more than the median number of buildings over 100 meters. Thus, the first statement is Supported.
 
 Statement 2: 
 
Looking at the "High-Rise City" column, the cities classified as High-Rise Cities are D, E, and G. Their number of buildings over 100m are:
 
• D: 75
 
• E: 85
 
• G: 75
 
Since D and G have exactly 75 buildings (not more than 75), the statement is Not Supported.
 
 Statement 3: 
 
To find the probability, calculate the ratio of buildings >150m to buildings >100m for each city:
 
• E: 72/85 ≈ 85%
 
• Compare this to other cities (e.g., K: 5/25 = 20%, which is lower).
 
Since city E does not have the lowest probability, the statement is Not Supported.

Correct answer:

Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table.  "Supported"

If a city doesn’t have more than 75 buildings exceeding 100 meters in height, it will not be classified as a High-Rise City.  "Not Supported"

Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E.  "Not Supported"

Bunuel · Answer

I have revised the question, solution, and formatting by adding more details to enhance clarity.

Rashmi96 · Answer

I don’t quite agree with the solution. in the second question. should we not count buildings which are 150m they are ovbiously <100m

Bunuel · Answer

Actually, buildings over 150m are  also  over 100m, since 150 > 100. So when the table says "buildings over 100m," it includes  all  buildings above that height — including those above 150m.

So for the second statement —  “One of the criteria for a city to be classified as a High-Rise City is having more than 75 buildings exceeding 100 meters in height”  — we check whether all High-Rise Cities have  more than  75 buildings over 100m.

City D and G both have exactly 75,  not  more than 75, so the statement is  not supported .

Sushi_545 · Answer

Hi  Bunuel ,

In 3rd part are we using conditional probability?

P(  probability of also exceeding 150 meters | Among buildings over 100 meters) ?

Bunuel · Answer

Yes, it is conditional probability. You're checking, for each city, how many of the buildings over 100 meters also exceed 150 meters.

Aboyhasnoname · Answer

Bunuel  I have a question regarding statement 2 if you can help...

One of the criteria for a city to be classified as a High-Rise City is having more than 75 buildings exceeding 100 meters in height.
 
Now lets suppose the two cities D and G had 76 instead of 75 high rise buildings.....Then also the answer should be Not Supported right?...Because B has 70 Such buildings but is not a High Rise....Therefore the Criteria could be anything above 70...Like 71 or 72 or 73 buildings exceeding height of 100 metres.....Since they have 76 such buildings they pass the critieria..While the criteria could be anything above 70 and less than equal to 76?..Hence we cant say that the 75 buildings with 100 metres height is the critieria..Am I correct?

Bunuel · Answer

Yes, still Not Supported. Even if D and G had 76, the table doesn’t define the rule. B has 70 but is not High-Rise, so the cutoff could be anywhere above 70. With no explicit criterion, you can’t conclude “more than 75” is the rule.

Bunuel · Answer

I tweaked the second statement a little bit and removed the word  criteria  from it.

Alick1 · Answer

I don’t quite agree with the solution. I don’t agree with the solution. in the second question. we should count more than 150 nos also

Bunuel · Answer

For statement 2 we do not “count more than 150” at all, because the statement itself talks only about:

“doesn’t have more than 75 buildings exceeding 100 meters” --> “will not be classified as a High-Rise City”.

So we only need the “>100 m” column and the “High rise city” column.

Cities D and G are marked “Yes” for High-Rise but have exactly 75 buildings over 100 m (not more than 75), so this rule is broken already. That is enough to make statement 2 Not Supported; the “>150 m” numbers are irrelevant for that statement.

I15-16

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

City	State	Height more than 150m	Height more than 100m	High rise city
A	CA	19	35	No
B	OR	57	70	No
C	CA	14	30	No
D	HI	61	75	Yes
E	HI	72	85	Yes
F	HI	24	40	No
G	HI	60	75	Yes
H	WA	47	60	No
I	OR	18	30	No
J	WA	14	30	No
K	CA	5	25	No
L	CA	14	30	No
M	OR	40	55	No
N	WA	20	35	No

Supported	Not Supported
		Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table.
		If a city doesn’t have more than 75 buildings exceeding 100 meters in height, it will not be classified as a High-Rise City.
		Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E.

City	State	Height more than 150m	Height more than 100m	High rise city
A	CA	19	35	No
B	OR	57	70	No
C	CA	14	30	No
D	HI	61	75	Yes
E	HI	72	85	Yes
F	HI	24	40	No
G	HI	60	75	Yes
H	WA	47	60	No
I	OR	18	30	No
J	WA	14	30	No
K	CA	5	25	No
L	CA	14	30	No
M	OR	40	55	No
N	WA	20	35	No

City	State	Height more than 150m	Height more than 100m	High rise city
A	CA	19	35	No
B	OR	57	70	No
C	CA	14	30	No
D	HI	61	75	Yes
E	HI	72	85	Yes
F	HI	24	40	No
G	HI	60	75	Yes
H	WA	47	60	No
I	OR	18	30	No
J	WA	14	30	No
K	CA	5	25	No
L	CA	14	30	No
M	OR	40	55	No
N	WA	20	35	No

City	State	Height more than 150m	Height more than 100m	High rise city
A	CA	19	35	No
B	OR	57	70	No
C	CA	14	30	No
D	HI	61	75	Yes
E	HI	72	85	Yes
F	HI	24	40	No
G	HI	60	75	Yes
H	WA	47	60	No
I	OR	18	30	No
J	WA	14	30	No
K	CA	5	25	No
L	CA	14	30	No
M	OR	40	55	No
N	WA	20	35	No

City	State	Height more than 150m	Height more than 100m	High rise city
A	CA	19	35	No
B	OR	57	70	No
C	CA	14	30	No
D	HI	61	75	Yes
E	HI	72	85	Yes
F	HI	24	40	No
G	HI	60	75	Yes
H	WA	47	60	No
I	OR	18	30	No
J	WA	14	30	No
K	CA	5	25	No
L	CA	14	30	No
M	OR	40	55	No
N	WA	20	35	No

City	State	Height more than 150m	Height more than 100m	High rise city
A	CA	19	35	No
B	OR	57	70	No
C	CA	14	30	No
D	HI	61	75	Yes
E	HI	72	85	Yes
F	HI	24	40	No
G	HI	60	75	Yes
H	WA	47	60	No
I	OR	18	30	No
J	WA	14	30	No
K	CA	5	25	No
L	CA	14	30	No
M	OR	40	55	No
N	WA	20	35	No