If it is assumed that 60 percent of those who receive a questionnaire : Problem Solving (PS)

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Bunuel

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If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

14 Oct 2015, 21:18

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If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

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BrentGMATPrepNow

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If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

Updated on: 31 Oct 2019, 08:08

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Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

60 percent of those who receive a questionnaire by mail will respond
Rewrite as: 60 percent of receivers = responders
We want 300 responders, so rewrite as: 60 percent of receivers = 300
60% of what = 300?

Option #1) Check answer choices
A) 400
60% of 400 = 240 (nope, we want 300)
.
.
.
D) 500
60% of 500 = 300...works!!

Or option #2) algebra
60% of x = 300
0.6x = 300
x = 300/0.6
= 500
= [spoiler]D[/spoiler]

Or...
60% of x = 300
0.6x = 300
(3/5)x = 300
x = (5/3)300
= 500
= D

Cheers,
Brent

Originally posted by BrentGMATPrepNow on 14 Oct 2015, 21:20.
Last edited by BrentGMATPrepNow on 31 Oct 2019, 08:08, edited 2 times in total.

asethi

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

14 Oct 2015, 21:23

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given: 60% will respond, so 300 is the 60% of the x questionnaires sent.
then x=300*100/60=500

Ans: D

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v12345

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

15 Oct 2015, 14:13

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Minimum no of mail to be sent for getting 300 responses at 60%

= 300/0.6 = 500 Ans

Option D

Mun20

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

15 Oct 2015, 20:56

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Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

Let c be the number of questionnaires mailed
We need 300 responses
So 60% of c should be equal to 300
60/100*c=300
C=30000/60
C=500

camlan1990

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

16 Oct 2015, 02:56

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300 *100/60 = 500

Ans: D

kamranko

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Joined: 20 Oct 2015

Posts: 32

Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

06 Jul 2016, 03:05

Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

60%*x=300 ===> 60/100 * x= 300

300*100 / 60 = x

x=500

D

Divyadisha

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

06 Jul 2016, 05:48

2

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Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

If 300 is 60%, then 100% would be= 300*100/60= 500

D is the answer
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nkmungila

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

13 Sep 2017, 22:54

60/100 = 300
then 30000/60 = 500
Hence Answer is 500

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JeffTargetTestPrep

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

18 Sep 2017, 05:49

2

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Expert Reply

Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

If we let x = the number of questionnaires that should be mailed, then x must satisfy 0.6x = 300. Then, x = 300/0.6 = 500.

Answer: D
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FANewJersey

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

07 Apr 2018, 20:08

One of the most overlooked ways to solve such questions is "Guess and Check". If we look at this question, we can see that the easiest option to attack is (D) 500:

500 is half of 1000. So 60% of 1000 = 600, and hence 600% of 500 (which is half of 1000) will be 300 ----> our answer (D).

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albertocalvou87

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Joined: 19 Jan 2019

Posts: 2

Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

07 Feb 2019, 16:13

Consider X as the number of questionnaires mailed. 300 is the minimum of answers we need. So, let's fix our equation with 300 as the total needed. Therefore, the total number of questionnaires mailed multiplied by 60 % (minimum of answers assumed) should equal our needed number (300).

X(60/100)=300

- You can take 0s out and add them again at the end to make the calculations easier-

X(6/10)=30
X(6)=30*10
X=300/6
X=50

- Adding the 0 again-

X=500

Answer: D
hope this helps!

Posted from my mobile device

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MartyTargetTestPrep

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If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

07 Feb 2019, 16:54

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Expert Reply

Alternate Approach

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

A good tool to have in your quant toolkit is facility with percentage to fraction conversion for round number percentages.

You can easily memorize 5% = 1/20, 10% = 1/10, and 20% = 1/5, and once you have those three memorized, the rest follow.

For instance:

10% = 1/10

20% = 1/5

50% = 5/10 = 1/2

60% = 3/5

95% = 19/20

To answer this question, we can use percentage to fraction conversion in the following extremely simple and fast way.

300 = 60% of the total we need = 3/5 of the total

300 = 3/5 --> 100 = 1/5

The total is therefore 5 x 100 = 500.

The correct answer is D.
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gsmina

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

05 Sep 2019, 19:16

1

Kudos

Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

I simply solved it by % rule of:

Part/whole = x/100

300/x = 60/100

x = 500.

Answer E.

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akadiyan

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

31 Oct 2020, 13:35

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

300 is 60%

So 100% is \((\frac{300}{60}*100)\) = 500

Ans D
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Abhishek009

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

17 Nov 2021, 08:19

Bunuel wrote:

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Kudos for a correct solution.

\(\frac{300}{60}*100 = 500\), Answer will be (D)
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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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Re: If it is assumed that 60 percent of those who receive a questionnaire [#permalink]

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