50% of the factory workers

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sun Nov 19, 2017 4:21 am

50% of the factory workers are not older than 30 years old. What percent of the factory workers are younger than 40 years old?

1. 30% of the factory workers are older than 30 but younger than 40 years old
2. 20% of the factory workers are at least 40 years old

How will i find the correct statement in this?

OA D

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Source: Beat The GMAT — Data Sufficiency | Sun Nov 19, 2017 4:21 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

by DavidG@VeritasPrep » Wed Nov 22, 2017 1:02 pm

lheiannie07 wrote:50% of the factory workers are not older than 30 years old. What percent of the factory workers are younger than 40 years old?

1. 30% of the factory workers are older than 30 but younger than 40 years old
2. 20% of the factory workers are at least 40 years old

How will i find the correct statement in this?

OA D

Think of the workers as divided into three age groups:

- Those 30 or younger
- Those between 30 and 40
- Those 40 or older

If we want the percent 40 or younger, then we want the sum of the first two groups.

Statement 1. Now we know:
- Those 30 or younger: 50%
- Those between 30 and 40: 30%
Clearly we can find the sum: 50+ 30 = 80% Sufficient.

Statement 2: Now we know
- Those 40 or older: 20%
Well, everyone else would be under 40. 100% - 20% = 80%. Sufficient.

The answer is D

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Wed Jan 10, 2018 9:40 pm

DavidG@VeritasPrep wrote:
lheiannie07 wrote:50% of the factory workers are not older than 30 years old. What percent of the factory workers are younger than 40 years old?

1. 30% of the factory workers are older than 30 but younger than 40 years old
2. 20% of the factory workers are at least 40 years old

How will i find the correct statement in this?

OA D
Think of the workers as divided into three age groups:

- Those 30 or younger
- Those between 30 and 40
- Those 40 or older

If we want the percent 40 or younger, then we want the sum of the first two groups.

Statement 1. Now we know:
- Those 30 or younger: 50%
- Those between 30 and 40: 30%
Clearly we can find the sum: 50+ 30 = 80% Sufficient.

Statement 2: Now we know
- Those 40 or older: 20%
Well, everyone else would be under 40. 100% - 20% = 80%. Sufficient.

The answer is D

Thanks a lot!

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