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If 75 percent of a class answered the first question on a ce [#permalink]

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26 Dec 2012, 07:46

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If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

Re: If 75 percent of a class answered the first question on a ce [#permalink]

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26 Dec 2012, 07:48

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Walkabout wrote:

If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

Re: If 75 percent of a class answered the first question on a ce [#permalink]

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18 Aug 2013, 05:25

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Attached Venn Diagram:

75-X+X+55-X+20=Total=100

X=50%

Hence the OA

Attachments

ssss.JPG [ 14.43 KiB | Viewed 16545 times ]

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If 75 percent of a class answered the first question on a ce [#permalink]

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02 Nov 2014, 22:35

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Walkabout wrote:

If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

Re: If 75 percent of a class answered the first question on a ce [#permalink]

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02 Nov 2014, 19:37

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appleid wrote:

PareshGmat wrote:

Refer diagram below:

Attachment:

ssss.JPG

We require to find the value of x

100 = 75 + 55 -x + 20

x = 50

Answer = D

I didn't understand how to connect 20 percent with the whole equation. Why 20 is out of the percentile diagram (circles) but inside of 100?

20% appeared in the exam; however did not answer Question A & Question B correctly

So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose _________________

Re: If 75 percent of a class answered the first question on a ce [#permalink]

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06 Sep 2014, 22:39

Hello from the GMAT Club BumpBot!

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Re: If 75 percent of a class answered the first question on a ce [#permalink]

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03 Nov 2014, 10:31

PareshGmat wrote:

appleid wrote:

PareshGmat wrote:

Refer diagram below:

Attachment:

ssss.JPG

We require to find the value of x

100 = 75 + 55 -x + 20

x = 50

Answer = D

I didn't understand how to connect 20 percent with the whole equation. Why 20 is out of the percentile diagram (circles) but inside of 100?

20% appeared in the exam; however did not answer Question A & Question B correctly

So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose

I am doing it this way: Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.

Now, 100 - [(75 - x) + x + (55 - x)] = 20 .......... values are in percent x = 20 - 100 + 130 x = 50

Ans: D

Is it the right way?? Thanks for your reply (+1ed)

If 75 percent of a class answered the first question on a ce [#permalink]

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04 Nov 2014, 01:24

appleid wrote:

I am doing it this way: Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.

Now, 100 - [(75 - x) + x + (55 - x)] = 20 .......... values are in percent x = 20 - 100 + 130 x = 50

Ans: D

Is it the right way?? Thanks for your reply (+1ed)

Re: If 75 percent of a class answered the first question on a ce [#permalink]

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13 Jul 2016, 07:33

Walkabout wrote:

If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

(A) 10% (8) 20% (C) 30% (D) 50% (E) 65%

For this overlapping sets problem we can use the following equation:

Total percent = % in category A + % in category B – % in both categories + % in neither categories

Since the answer choices are in percentage form we can use 100 as the total. We are given that 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly. Using these values, we have:

100 = 75 + 55 – B + 20

100 = 150 – B

B = 50

The answer is D. _________________

Jeffrey Miller Scott Woodbury-Stewart Founder and CEO

gmatclubot

Re: If 75 percent of a class answered the first question on a ce
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13 Jul 2016, 07:33

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