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for statement 2 can you suggest a quick way to solve this or identify the change.
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Bunuel
for statement 2 can you suggest a quick way to solve this or identify the change.

Bunuel
Official Solution:
Bunuel

The table below summarizes information in several categories about the different flights at a major international airport.

YearDestinationCharterCargoCommuterNon-RevenueTotal
2005Domestic2048,19359,9731,728230,242
2005International1,26614,3805,2091,324119,706
2006Domestic2177,41964,9711,180250,413
2006International1,02313,4175,8141,269128,014
2007Domestic2157,58691,6001,297302,958
2007International1,82313,3116,2311,198140,796
2008Domestic506,82083,4281,605288,025
2008International48810,9267,9641,203150,366
2009Domestic305,72381,3021,398272,804
2009International1717,8397,503525142,482
2010Domestic395,94268,7261,184252,445
2010International1889,3877,714526144,525


For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.


TrueFalse
From 2005 to 2010, there was a direct correlation between the number of domestic non-revenue flights and the total number of domestic flights.
The largest percentage decrease in flights for any category from 2005 to 2010 is greater than the largest percentage increase in flights for any category from 2005 to 2010.
In 2005, international cargo flights represented more than 10% of the total number of international and domestic flights combined.


Statement 1

A direct correlation means that as one variable increases, the other also increases, or as one decreases, the other decreases—they move in the same direction. Between 2005 and 2010, the number of domestic non-revenue flights followed the pattern: down, up, up, down, down. During the same period, the total number of domestic flights followed a different pattern: up, up, down, down, down. Clearly, there is no direct correlation between these numbers. Therefore, this statement is False.

Statement 2

The greatest decrease occurred in International Charter flights, which dropped from 1,266 to 188—a decrease of approximately 85%. The greatest increase occurred in International Commuter flights, which rose from 5,209 to 7,714—an increase of approximately 50%. Therefore, this statement is True.

Statement 3

In 2005, the number of international cargo flights was 14,380, while the combined total of all international and domestic flights was 119,706 + 230,242 ≈ 350,000. Clearly, 14,380 is less than 10% of 350,000. Therefore, this statement is False.


Correct answer:

From 2005 to 2010, there was a direct correlation between the number of domestic non-revenue flights and the total number of domestic flights. "False"

The largest percentage decrease in flights for any category from 2005 to 2010 is greater than the largest percentage increase in flights for any category from 2005 to 2010. "True"

In 2005, international cargo flights represented more than 10% of the total number of international and domestic flights combined. "False"
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Bunuel
for statement 2 can you suggest a quick way to solve this or identify the change.

Bunuel
Official Solution:
Bunuel

The table below summarizes information in several categories about the different flights at a major international airport.

YearDestinationCharterCargoCommuterNon-RevenueTotal
2005Domestic2048,19359,9731,728230,242
2005International1,26614,3805,2091,324119,706
2006Domestic2177,41964,9711,180250,413
2006International1,02313,4175,8141,269128,014
2007Domestic2157,58691,6001,297302,958
2007International1,82313,3116,2311,198140,796
2008Domestic506,82083,4281,605288,025
2008International48810,9267,9641,203150,366
2009Domestic305,72381,3021,398272,804
2009International1717,8397,503525142,482
2010Domestic395,94268,7261,184252,445
2010International1889,3877,714526144,525


For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.


TrueFalse
From 2005 to 2010, there was a direct correlation between the number of domestic non-revenue flights and the total number of domestic flights.
The largest percentage decrease in flights for any category from 2005 to 2010 is greater than the largest percentage increase in flights for any category from 2005 to 2010.
In 2005, international cargo flights represented more than 10% of the total number of international and domestic flights combined.


Statement 1

A direct correlation means that as one variable increases, the other also increases, or as one decreases, the other decreases—they move in the same direction. Between 2005 and 2010, the number of domestic non-revenue flights followed the pattern: down, up, up, down, down. During the same period, the total number of domestic flights followed a different pattern: up, up, down, down, down. Clearly, there is no direct correlation between these numbers. Therefore, this statement is False.

Statement 2

The greatest decrease occurred in International Charter flights, which dropped from 1,266 to 188—a decrease of approximately 85%. The greatest increase occurred in International Commuter flights, which rose from 5,209 to 7,714—an increase of approximately 50%. Therefore, this statement is True.

Statement 3

In 2005, the number of international cargo flights was 14,380, while the combined total of all international and domestic flights was 119,706 + 230,242 ≈ 350,000. Clearly, 14,380 is less than 10% of 350,000. Therefore, this statement is False.


Correct answer:

From 2005 to 2010, there was a direct correlation between the number of domestic non-revenue flights and the total number of domestic flights. "False"

The largest percentage decrease in flights for any category from 2005 to 2010 is greater than the largest percentage increase in flights for any category from 2005 to 2010. "True"

In 2005, international cargo flights represented more than 10% of the total number of international and domestic flights combined. "False"

You should basically compare red with red and blue with blue in the image below. A quick scanning should help you spot where the greatest decrease and the greatest increase happen. Not much actual calculation is needed, just a methodical step-by-step approach and good number sense.


Attachment:
GMAT-Club-Forum-st6kzqel.png
GMAT-Club-Forum-st6kzqel.png [ 119.17 KiB | Viewed 4790 times ]
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Bunuel

I have a small doubt on the question stem:
Quote:
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.

Take 3rd question, which asks whether international cargo flights represented more than 10% of the total number of international and domestic flights combined

Since, based on the given info, I can find whether it does or not. So, shouldn't it be True?

Can you help me distinguish how to approach such prompts?
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Bunuel

I have a small doubt on the question stem:
Quote:
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.

Take 3rd question, which asks whether international cargo flights represented more than 10% of the total number of international and domestic flights combined

Since, based on the given info, I can find whether it does or not. So, shouldn't it be True?

Can you help me distinguish how to approach such prompts?
The confusion is with the wording "can be verified as true." It does not mean "can be checked." It means the statement must actually turn out to be true when checked. If it's false after checking, you must mark False. So even if the data lets you verify it, if the claim itself is not true, the answer is still False.
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I have revised the question, solution, and formatting by adding more details to enhance clarity
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in this, you've compared only 2005-10, but in the question stem, it asked 2005-2010, so I want to understand that did we considered the rest of the years? like did we compared 06,07,08,09? If not then why? and how can we interpret it from the question that its only asking for 2005-10 % change?

Bunuel


You should basically compare red with red and blue with blue in the image below. A quick scanning should help you spot where the greatest decrease and the greatest increase happen. Not much actual calculation is needed, just a methodical step-by-step approach and good number sense.


Attachment:
GMAT-Club-Forum-st6kzqel.png
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iurequi
in this, you've compared only 2005-10, but in the question stem, it asked 2005-2010, so I want to understand that did we considered the rest of the years? like did we compared 06,07,08,09? If not then why? and how can we interpret it from the question that its only asking for 2005-10 % change?



The question asks for the largest percentage change from 2005 to 2010, meaning we look at how much each category changed between those two specific years. We don’t need to include 2006–2009 because the question is about the overall change over the period, not the trend within it. So, here, “from 2005 to 2010” sets 2005 as the starting point and 2010 as the ending point for one direct comparison.
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I did not quite understand the solution. In the second statement, we arent given specifics as to how to calculate the percent decrease or increase. Like is it for consecutive years only or between any two years
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I did not quite understand the solution. In the second statement, we arent given specifics as to how to calculate the percent decrease or increase. Like is it for consecutive years only or between any two years

Check this post. Hope it helps.
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