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4,400 participants in a study were surveyed regarding side

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

40% (01:14) correct 59% (01:20) wrong based on 32 sessions
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

[Reveal] Spoiler: OA
B and C
[Reveal] Spoiler: OA

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Re: 4,400 participants in a study were surveyed regarding side [#permalink] New post 11 Jul 2016, 04:54
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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
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Re: 4,400 participants in a study were surveyed regarding side [#permalink] New post 26 Aug 2017, 05:56
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.
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Re: 4,400 participants in a study were surveyed regarding side [#permalink] New post 09 Jan 2019, 23:18
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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
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Re: 4,400 participants in a study were surveyed regarding side [#permalink] New post 10 Jan 2019, 04:00
Expert's post
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

[Reveal] Spoiler: 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
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2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
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5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

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

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