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A researcher has determined that she requires a minimum of n [#permalink]

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22 Jul 2013, 04:55

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A researcher has determined that she requires a minimum of n responses to a survey for the results to be valid. If p% of the surveyed individuals fail to respond to the survey, how many individuals, in terms of n and p, must the researcher survey to produce twice the minimum required number of responses?

A.\(\frac{{200n}}{{100-p}}\)

B.\(\frac{{2n}}{{100-p}}\)

C.\(\frac{{200n}}{{p}}\)

D.\(\frac{{2n(100+p)}}{{100}}\)

E.\(\frac{{2n+2np}}{{100}}\)

I took some time to solve it algebraically. Have fun!

A researcher has determined that she requires a minimum of n responses to a survey for the results to be valid. If p% of the surveyed individuals fail to respond to the survey, how many individuals, in terms of n and p, must the researcher survey to produce twice the minimum required number of responses?

A.\(\frac{{200n}}{{100-p}}\)

B.\(\frac{{2n}}{{100-p}}\)

C.\(\frac{{200n}}{{p}}\)

D.\(\frac{{2n(100+p)}}{{100}}\)

E.\(\frac{{2n+2np}}{{100}}\)

I took some time to solve it algebraically. Have fun!

Say x individuals must be surveyed.

p% of the surveyed individuals fail to respond --> the number of individuals who did NOT fail to respond = \(x-x*\frac{p}{100}\). The above must be equal to 2n, so:

Re: A researcher has determined that she requires a minimum of n [#permalink]

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03 Aug 2015, 18:38

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Re: A researcher has determined that she requires a minimum of n [#permalink]

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03 Jan 2016, 13:01

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suppose x is the number of people she needs to interview out of the x, only x(100-p/100) answered. this all is equal to n. so n = x(100-p/100) or x= 100n/100-p since we need twice the number, multiply everything by 2, and get 200n/100-p. A

Re: A researcher has determined that she requires a minimum of n [#permalink]

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22 Jan 2016, 18:27

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Unitary method seems more comprehensible to me.

Given that p% of the surveyed individuals fail to respond.

So individual who NOT failed to respond = (100-P)%

That means,

To get (100-P) responses, 100 individual is surveyed. For 1 response, 100 / (100-P) individual is surveyed. For 2n responses, (100*2n) / (100-P) individual is surveyed.

Answer: (A) 200n / (100-P)
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Re: A researcher has determined that she requires a minimum of n [#permalink]

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09 Jul 2016, 21:01

Bunuel wrote:

kingflo wrote:

A researcher has determined that she requires a minimum of n responses to a survey for the results to be valid. If p% of the surveyed individuals fail to respond to the survey, how many individuals, in terms of n and p, must the researcher survey to produce twice the minimum required number of responses?

A.\(\frac{{200n}}{{100-p}}\)

B.\(\frac{{2n}}{{100-p}}\)

C.\(\frac{{200n}}{{p}}\)

D.\(\frac{{2n(100+p)}}{{100}}\)

E.\(\frac{{2n+2np}}{{100}}\)

I took some time to solve it algebraically. Have fun!

Say x individuals must be surveyed.

p% of the surveyed individuals fail to respond --> the number of individuals who did NOT fail to respond = \(x-x*\frac{p}{100}\). The above must be equal to 2n, so:

Of course one can also use plug-in method to solve this problem.

The question is not hard..I got stuck because I found the wording very awkward..is the wording good enough? I'm not feeling right about this one..
_________________

Re: A researcher has determined that she requires a minimum of n [#permalink]

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10 Jul 2017, 01:12

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: A researcher has determined that she requires a minimum of n [#permalink]

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09 Sep 2017, 14:54

Bunuel wrote:

kingflo wrote:

A researcher has determined that she requires a minimum of n responses to a survey for the results to be valid. If p% of the surveyed individuals fail to respond to the survey, how many individuals, in terms of n and p, must the researcher survey to produce twice the minimum required number of responses?

A.\(\frac{{200n}}{{100-p}}\)

B.\(\frac{{2n}}{{100-p}}\)

C.\(\frac{{200n}}{{p}}\)

D.\(\frac{{2n(100+p)}}{{100}}\)

E.\(\frac{{2n+2np}}{{100}}\)

I took some time to solve it algebraically. Have fun!

Say x individuals must be surveyed.

p% of the surveyed individuals fail to respond --> the number of individuals who did NOT fail to respond = \(x-x*\frac{p}{100}\). The above must be equal to 2n, so:

A researcher has determined that she requires a minimum of n [#permalink]

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09 Sep 2017, 20:52

Plugin nos. Let people surveyed be 100 10% of 100 surveyed do not respond=10 90 surveyed responded=the required no response for the survey to be valid. Double is 180. To get 180 you need 200 responders. Plugin in n=90 and p=10 in the given expression. 1) Start from C

\(\frac{200n}{p}\)

\(\frac{200*90}{10}\)=1800=wrong.

2) Pick A (I checked all the answer choice but for sake of time and effort showing only 2 workings)