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4,400 participants in a study were surveyed regarding side
[#permalink]
05 Jul 2016, 04:29

2

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Question Stats:

4,400 participants in a study were surveyed regarding side effects of a new medication, and x percent reported experiencing drowsiness. If x is rounded to the nearest integer, the result is 8. Which of the following could be the number of survey participants who reported experiencing drowsiness?

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

_________________

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Show: :: OA

B and C

_________________

Sandy

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Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
11 Jul 2016, 04:54

5

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if x is rounded to 8 then x must be between 7.5 and 8.4 inclusive. 7.5 % of 4400 is 330 and 8.4% of 4400 is 369.6. So number of survey participants who reported experiencing drowsiness is between 330 and 369.6. Hence answer is B and C

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
26 Aug 2017, 05:56

1

rapsjade wrote:

if x is rounded to 8 then x must be between 7.5 and 8.4 inclusive. 7.5 % of 4400 is 330 and 8.4% of 4400 is 369.6. So number of survey participants who reported experiencing drowsiness is between 330 and 369.6. Hence answer is B and C

Should be between 7.5 and 8.5. With 8.4 inclusive you are excluding the possibility of 8.45%, 8.49%, 8.499%, etc. The range is 330 - 374.

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
09 Jan 2019, 23:18

3

Expert Reply

1

Bookmarks

Lemme know if this shortcut helps.

we know that x is between 7.5 and 8.5 percent because they didnt say if it was rounded up or down.

First:

1 percent of 4400 = 44

then 8.5 percent of 4400 = 8*44 + 1/2* 44= 374

7.5 percent of 4400 = 7* 44* 1/2* 44= 330

8 percent of 4400 = 8*44= 352

the choice is between 330 and 374, no more, no less

we know that x is between 7.5 and 8.5 percent because they didnt say if it was rounded up or down.

First:

1 percent of 4400 = 44

then 8.5 percent of 4400 = 8*44 + 1/2* 44= 374

7.5 percent of 4400 = 7* 44* 1/2* 44= 330

8 percent of 4400 = 8*44= 352

the choice is between 330 and 374, no more, no less

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
10 Jan 2019, 04:00

Expert Reply

2

Bookmarks

sandy wrote:

4,400 participants in a study were surveyed regarding side effects of a new medication, and x percent reported experiencing drowsiness. If x is rounded to the nearest integer, the result is 8. Which of the following could be the number of survey participants who reported experiencing drowsiness?

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Show: :: OA

B and C

The equation will be \(7.5\leq{x}<8.5\)...

So, the number, say n, will lie in the range \(4400*8.5>n\geq{7.5*4400}\), that is \(374>n\geq{330}\)

so B and C

_________________

Some useful Theory.

1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048

2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825

3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html

4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html

5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048

2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825

3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html

4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html

5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
14 Jan 2019, 02:34

Using calculator will help to answer the question in around 15 to 20 seconds

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
06 Apr 2020, 00:45

do you guys use calculators for this question or just fractions?

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
25 Jun 2021, 05:51

chetan2u wrote:

sandy wrote:

4,400 participants in a study were surveyed regarding side effects of a new medication, and x percent reported experiencing drowsiness. If x is rounded to the nearest integer, the result is 8. Which of the following could be the number of survey participants who reported experiencing drowsiness?

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Show: :: OA

B and C

The equation will be \(7.5\leq{x}<8.5\)...

So, the number, say n, will lie in the range \(4400*8.5>n\geq{7.5*4400}\), that is \(374>n\geq{330}\)

so B and C

A quick doubt- if x was, in fact, 8, there would have been no need to round it to the nearest integer, which the question specifically says has happened.

8% gives 352 as the answer, so I didn't select it given the above reasoning.

Could you please explain? Thank you.

Posted from my mobile device

Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
25 Jun 2021, 07:39

2

You're right but we are asked that which of the following COULD be the number.

So more than 1 may correct.

Hence we need to take the limit \(7.5\leq{x}<8.5\)

Hope that clears your doubt. Feel free to ask if unclear.

The equation will be \(7.5\leq{x}<8.5\)...

So, the number, say n, will lie in the range \(4400*8.5>n\geq{7.5*4400}\), that is \(374>n\geq{330}\)

so B and C

A quick doubt- if x was, in fact, 8, there would have been no need to round it to the nearest integer, which the question specifically says has happened.

8% gives 352 as the answer, so I didn't select it given the above reasoning.

Could you please explain? Thank you.

Posted from my mobile device

_________________

So more than 1 may correct.

Hence we need to take the limit \(7.5\leq{x}<8.5\)

Hope that clears your doubt. Feel free to ask if unclear.

Simerleenkaurr wrote:

chetan2u wrote:

sandy wrote:

4,400 participants in a study were surveyed regarding side effects of a new medication, and x percent reported experiencing drowsiness. If x is rounded to the nearest integer, the result is 8. Which of the following could be the number of survey participants who reported experiencing drowsiness?

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Indicate all such values.

A. 325

B. 330

C. 352

D. 375

Show: :: OA

B and C

The equation will be \(7.5\leq{x}<8.5\)...

So, the number, say n, will lie in the range \(4400*8.5>n\geq{7.5*4400}\), that is \(374>n\geq{330}\)

so B and C

A quick doubt- if x was, in fact, 8, there would have been no need to round it to the nearest integer, which the question specifically says has happened.

8% gives 352 as the answer, so I didn't select it given the above reasoning.

Could you please explain? Thank you.

Posted from my mobile device

_________________

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Re: 4,400 participants in a study were surveyed regarding side
[#permalink]
09 Aug 2023, 13:13

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Thanks to another GRE Prep 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).

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