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50% of the factory workers

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50% of the factory workers

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: — Data Sufficiency |
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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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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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