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In a study, 4,400 participants were surveyed regarding side
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20 Sep 2017, 02:14

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Question Stats:

In a study, 4,400 participants 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.

❑ 325

❑ 330

❑ 352

❑ 375

Show: :: OA

B,C

Re: In a study, 4,400 participants were surveyed regarding side
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22 Sep 2017, 14:05

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Carcass wrote:

In a study, 4,400 participants 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.

❑ 325

❑ 330

❑ 352

❑ 375

Indicate all such values.

❑ 325

❑ 330

❑ 352

❑ 375

Show: :: OA

B,C

Now consider the value just below 7.5% (since it can be rounded to nearest integer as 8%)

let us take 7.49% so the number of survey participants = .0749 * 4400 =329.5

so the number should be greater than 329.5 ie option c is an answer

Now consider the maximum value ie 8.5% so the number of survey participants = .085 * 4400 =374

So the number of participants lie between 329.5< participants<374

So option B and C are the possible answer.

Re: In a study, 4,400 participants were surveyed regarding side
[#permalink]
02 Jul 2020, 22:16

1

When working with percentages of numbers multiples of 10, is faster to work with multiples of 10% or 1%. That means that for example if a question asks you for the 40% of a quantity is better to divide that quantity by 10 and the multiplying it by 4, same if is 50,60,20 percent. It's the same than multiplying by 0.4 but working with decimals is usually slower.

In this problem, we have a total of 4400 participants. They tell you that there's an x percent that can be rounded to 8, so inmediately we can assume that the value of the percentage is between 7.5 and 8.5 percent, not including the 8.5.

So how to to obtain 7.5 and 8.5 percent of the total without using decimals?

We apply the technic mentioned before, working in units of 1 percent taking advantage of the two last digits of the total of participants that are 0.

7.5 percent is 0.5 less than 8 percent.

8.5 percent is 0.5 more than 8 percent.

And 8 percent is 8 times 1 percent.

1 percent is 4400/100= 44

So 0.5 percent is 22.

Thus

8 percent is 8*44, that is equal to 352

7.5 percent = 352-22=330 (included)

8.5 percent = 352+22=374 (not included)

So the only options that are between this numbers are 330 and 352

I know that it seems like a long proccess but when you get used to it, you'll see how fast it is.

In this problem, we have a total of 4400 participants. They tell you that there's an x percent that can be rounded to 8, so inmediately we can assume that the value of the percentage is between 7.5 and 8.5 percent, not including the 8.5.

So how to to obtain 7.5 and 8.5 percent of the total without using decimals?

We apply the technic mentioned before, working in units of 1 percent taking advantage of the two last digits of the total of participants that are 0.

7.5 percent is 0.5 less than 8 percent.

8.5 percent is 0.5 more than 8 percent.

And 8 percent is 8 times 1 percent.

1 percent is 4400/100= 44

So 0.5 percent is 22.

Thus

8 percent is 8*44, that is equal to 352

7.5 percent = 352-22=330 (included)

8.5 percent = 352+22=374 (not included)

So the only options that are between this numbers are 330 and 352

I know that it seems like a long proccess but when you get used to it, you'll see how fast it is.

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Re: In a study, 4,400 participants were surveyed regarding side
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17 Jul 2021, 01:35

1

(1)

We know the percentage value must round to 8%, or 0.08. Hence, we know that the range of possible values for our actual % value must be between (roughly) 0.075 (rounds to 0.08) and 0.084 (rounds to 0.08). Any value lower than the first or higher than the second in the thousandths place would not round to 0.08 (8%).

(2)

Proceeding from there, we can see that 0.075 * 4400 = 330 and 0.084 * 4400 = 369.6. Hence, values between those two will work.

(3)

Thus, our answer choices are B and C.

We know the percentage value must round to 8%, or 0.08. Hence, we know that the range of possible values for our actual % value must be between (roughly) 0.075 (rounds to 0.08) and 0.084 (rounds to 0.08). Any value lower than the first or higher than the second in the thousandths place would not round to 0.08 (8%).

(2)

Proceeding from there, we can see that 0.075 * 4400 = 330 and 0.084 * 4400 = 369.6. Hence, values between those two will work.

(3)

Thus, our answer choices are B and C.

Re: In a study, 4,400 participants were surveyed regarding side
[#permalink]
06 Mar 2024, 22:28

Can someone please give me clarity on all the possible rounding off cases and conventions I need to know for the GRE?

I'm slightly confused in this aspect.

Thank you in advanced!

Sincerely

Daksh

I'm slightly confused in this aspect.

Thank you in advanced!

Sincerely

Daksh

Re: In a study, 4,400 participants were surveyed regarding side
[#permalink]
06 Mar 2024, 23:49

Expert Reply

Here where to look at more on these arguments

https://gre.myprepclub.com/forum/gre-ma ... tml#p98026

https://gre.myprepclub.com/forum/gre-us ... tml#p93301

https://gre.myprepclub.com/forum/mathem ... tml#p19025

Let me know if you need further assistance

https://gre.myprepclub.com/forum/gre-ma ... tml#p98026

https://gre.myprepclub.com/forum/gre-us ... tml#p93301

https://gre.myprepclub.com/forum/mathem ... tml#p19025

Let me know if you need further assistance

gmatclubot

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