Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone

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Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64


OA C

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BTGmoderatorDC wrote:
Sat Mar 14, 2020 5:46 pm
Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64

OA C

Source: GMAT Prep
From the given information, we have 20% of 60% of respondents = 3

# of respondents = 3/(20% of 60%) = 25

The correct answer: C

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BTGmoderatorDC wrote:
Sat Mar 14, 2020 5:46 pm
Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64


OA C

Source: GMAT Prep
\(3\) people \(= 20\cdot \dfrac{x}{100}\)

\(x= 15\) people called for phone interview

\(15= 60\cdot \dfrac{x}{100}\)

\(x = 25\); had applied / responded to ad

Therefore, C

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BTGmoderatorDC wrote:
Sat Mar 14, 2020 5:46 pm
Sixty percent of the people who responded to a company's advertisement for a job opening were interviewed over the phone. Twenty percent of those interviewed over the phone, that is, 3 people, were asked to come to the company for a personal interview. How many people responded to the advertisement?

a) 16

b) 20

c) 25

d) 40

e) 64


OA C

Source: GMAT Prep
We can create the following equation:

0.6 x 0.2 x T = 3

0.12T = 3

12T = 300

T = 25

Answer: C

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