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Learn How to Negate Statements: Exercise Questions

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Learn How to Negate Statements: Exercise Questions [#permalink]

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Learn How to Negate Statements: Exercise Questions



Here are the exercise problems for the article How to Negate Statements. Give them a try and post your answers below.

*At this stage, your focus should not be on memorizing the group-markers but rather on mastering their understanding while negating statements. Therefore, for ready reference, please find below the list of commonly used group-markers. You may need to refer to this list while answering the exercise questions.

Image


Identify the correct negations for the following statements.

    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors.
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors.
      d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors.




    2. Some people over 60 years of age are conservative investors.
      a. Not all people over 60 years of age are conservative investors.
      b. No person over the age of 60 is a conservative investor.
      c. Not everyone over 60 is a conservative investor.
      d. Most people are conservative investors.



    3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
      a. Not every laptop powered by HCD processor is prone to over-heating issues.
      b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
      c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
      d. More than 70% laptops powered by HCD processor are prone to over-heating issues.


    4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
      a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
      b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
      c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
      d. No GMAT taker will agree that the GMAT is a mentally gruelling exam.

Good Luck! :)

You can read this article to understand how to approach these questions: http://gmatclub.com/forum/negation-test-series-article-1-understand-negation-sample-spaces-198821.html#p1531082

Solutions will be posted soon!
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Last edited by egmat on 07 Jun 2015, 20:48, edited 1 time in total.

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 05 Jun 2015, 07:35
My choices are :
1. d. Up to 50% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
2. b. No person over the age of 60 is a conservative investor.
3. d. More than 70% laptops powered by HCD processor are prone to over-heating issues.
4. c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 05 Jun 2015, 13:28
My answeres are as below:

1. A ( it says most > 50%) so the logical negative will be balance upto 50 % excluding already accounted >50%. Thus the correct negation should involve this & option D does it. It says upto half of the websites developed without proper focus get visitors.

2. B. No person over the age of 60 is a conservative investor. ( Some 1-99 so negated space should involve none)

3. C 70% or more laptops powered by HCD processor are prone to over-heating issues. ( as negated option should involve sample exccluding the exisitng upto 70 % subset)

4. C. I have considered any = ALL & hene not all is necessary. ( Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.)

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 06 Jun 2015, 23:10
Identify the correct negations for the following statements.

    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors. outside the segment
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors. overlap sample space
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors. overlap sample space
      d. Up to 50% of the websites that are developed without a proper focus on SEO get a significant number of visitors. outside the segment

    I am unable to find the correct answer choice because as per my understanding all a/b/c/d are incorrect 


    2. Some people over 60 years of age are conservative investors.
      a. Not all people over 60 years of age are conservative investors.
      b. No person over the age of 60 is a conservative investor. CORRECT
      c. Not everyone over 60 is a conservative investor.
      d. Most people are conservative investors.



    3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
      a. Not every laptop powered by HCD processor is prone to over-heating issues.
      b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
      c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
      d. More than 70% laptops powered by HCD processor are prone to over-heating issues. CORRECT


    4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
      a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
      b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
      c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam. CORRECT
      d. No GMAT taker will agree that the GMAT is a mentally gruelling exam.

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 07 Jun 2015, 02:53
Ans to the questions are as follows
1 d
2 b
3 d
4 c
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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 07 Jun 2015, 20:50
Ankur9 wrote:
Identify the correct negations for the following statements.

    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors. outside the segment
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors. overlap sample space
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors. overlap sample space
      d. Up to 50% of the websites that are developed without a proper focus on SEO get a significant number of visitors. outside the segment

I am unable to find the correct answer choice because as per my understanding all a/b/c/d are incorrect 



There was a typo in one of the options. It has been corrected now. Thank you for pointing it out. :)
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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 09 Jun 2015, 07:53
egmat can you please post the solutions & the explanations.

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 19 Sep 2015, 12:25
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1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
Most represent 51-100, therefore, we need to negate in a such way, so the segment described does not overlap with the segment given (0-50 or up to 50%)
a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors. - this talks about different websites
b. All websites that are developed with a proper focus on SEO get a significant number of visitors. - All = 100. This set overlaps with the set given (most 51-100).
c. Some websites that are developed with a proper focus on SEO get a significant number of visitors. Again an overlap. Some - 1-100.
d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors. - Correct Choice




2. Some people over 60 years of age are conservative investors.
Some - 1-100. We need to find an answer choice that has to present 0 people.
a. Not all people over 60 years of age are conservative investors. - not all means 0-99. This might be tempting, but it is incorrect. We need an answer choice that gives 0 only.
b. No person over the age of 60 is a conservative investor. - correct. No person = 0.
c. Not everyone over 60 is a conservative investor. - not everyone is the same as not all (A). This is incorrect.
d. Most people are conservative investors. - Most is 51-100. This is again incorrect.



3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
The scope is laptops powered. We need to find a segment that does not overlap with 0-70.
a. Not every laptop powered by HCD processor is prone to over-heating issues. Not every = 0-99. This is incorrect.
b. Some laptops that are not powered by HCD processor are prone to over-heating issues. Some = 1-100. This is incorrect.
c. 70% or more laptops powered by HCD processor are prone to over-heating issues. This might be tempting, but it is an overlap. we need to have an answer choice with >70%.
d. More than 70% laptops powered by HCD processor are prone to over-heating issues. This is the correct answer choice.


4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
Ok, what does any mean? Some or All? In my understanding, it represents all. Whoever you ask, from the GMAT takes, he/she will tell you that GMAT is a mentally gruelling exam. In this case, we need to find an answer choice that contradicts this. The best option is not all (0-99).
a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam. - only some 1-100. We have an overlap.
b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam. - Not more than half 0-50 -> again overlap.
c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam. - Not every, hm, that's good. 0-99. That means that at least someone will not say the same.
d. No GMAT taker will agree that the GMAT is a mentally gruelling exam. - This is a tempting answer choice, if you think that Any=Some. Any=1-100, and No = 0. But this is not what we are looking for.

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New post 22 Aug 2016, 19:45
Can Egmat please post the answers
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New post 13 Sep 2016, 17:34
Hi egmat
Kindly post the answers to the above questions.

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Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 16 Jan 2017, 07:45
chetan2u wrote:
    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors.
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors.
      d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors.
    ans D



    2. Some people over 60 years of age are conservative investors.
      a. Not all people over 60 years of age are conservative investors.
      b. No person over the age of 60 is a conservative investor.
      c. Not everyone over 60 is a conservative investor.
      d. Most people are conservative investors.
    ans B



    3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
      a. Not every laptop powered by HCD processor is prone to over-heating issues.
      b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
      c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
      d. More than 70% laptops powered by HCD processor are prone to over-heating issues.
    ans D


    4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
      a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
      b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
      c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
      d. No GMAT taker will agree that the GMAT is a mentally gruelling exam
      .
Here i feel all the choices are sufficient to negate the original sentence.
ans ABCD


Hi chetan2u

You are moderator of course and you know more than me, but just for purpose to explain e-gmat's logic and help other students I want to clarify something.

In the 4th question you say that every answer is possible because they mean {not 100%}. But according to e-gmat the logical negation of a statement should account for all the possibilities lying outside the sample space of the given statement. Therefore, other options cannot be the "perfect negation" though they negate the sentence.

Attachment:
File comment: e-gmat's Possibility Line
09.png
09.png [ 18.76 KiB | Viewed 1598 times ]



For students who want to learn more about negation refer to the link below :-D :

http://gmatclub.com/forum/negation-test-series-article-1-understand-negation-sample-spaces-198821.html
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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 26 Oct 2017, 23:40
Hi egmat,

Can you please help in posting the answer of this question? Though all over the thread, C is the most opted choice but I don't think so. As per my understanding the correct answer should be D.

4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
d. No GMAT taker will agree that the GMAT is a mentally gruelling exam.

My Analysis --
Segment -- GMAT taker (Not any other taker, for example, GRE taker etc etc.. are all irrelevant)
Sample Space -- ANY (As per my understanding, ANY means ALL or ANY PART of the group)

So, logically the correct answer should be D and NOT C.

Please help me in knowing the correct answer?

P.S. My reasoning of ANY versus EVERY is based on the article on the following link,
https://english.stackexchange.com/questions/77058/what-is-the-difference-between-anyone-and-everyone-in-this-context

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 27 Oct 2017, 00:29
Resad95 wrote:
chetan2u wrote:
    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors.
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors.
      d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors.
    ans D



    2. Some people over 60 years of age are conservative investors.
      a. Not all people over 60 years of age are conservative investors.
      b. No person over the age of 60 is a conservative investor.
      c. Not everyone over 60 is a conservative investor.
      d. Most people are conservative investors.
    ans B



    3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
      a. Not every laptop powered by HCD processor is prone to over-heating issues.
      b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
      c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
      d. More than 70% laptops powered by HCD processor are prone to over-heating issues.
    ans D


    4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
      a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
      b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
      c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
      d. No GMAT taker will agree that the GMAT is a mentally gruelling exam
      .
Here i feel all the choices are sufficient to negate the original sentence.
ans ABCD


Hi chetan2u

You are moderator of course and you know more than me, but just for purpose to explain e-gmat's logic and help other students I want to clarify something.

In the 4th question you say that every answer is possible because they mean {not 100%}. But according to e-gmat the logical negation of a statement should account for all the possibilities lying outside the sample space of the given statement. Therefore, other options cannot be the "perfect negation" though they negate the sentence.

Attachment:
09.png



For students who want to learn more about negation refer to the link below :-D :

http://gmatclub.com/forum/negation-test-series-article-1-understand-negation-sample-spaces-198821.html



Hi...

Sorry .. just saw your reply
The Q is about accepted LOGIC and not Someone's logic.
Any of gmattaker means everyone will follow a certain line.
So if you can prove that ATLEAST one will not follow the line, you are negating the original reasoning or sentence.

This is what each of the four choices is doing. So all can weaken the main sentence.
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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 27 Oct 2017, 00:48
Identify the correct negations for the following statements.

    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors.
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors.
      d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors.




    2. Some people over 60 years of age are conservative investors.
      a. Not all people over 60 years of age are conservative investors.
      b. No person over the age of 60 is a conservative investor.
      c. Not everyone over 60 is a conservative investor.
      d. Most people are conservative investors.



    3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
      a. Not every laptop powered by HCD processor is prone to over-heating issues.
      b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
      c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
      d. More than 70% laptops powered by HCD processor are prone to over-heating issues.


    4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
      a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
      b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
      c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
      d. No GMAT taker will agree that the GMAT is a mentally gruelling exam.

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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 27 Oct 2017, 00:58
chetan2u wrote:
Resad95 wrote:
chetan2u wrote:
    1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.
      a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
      b. All websites that are developed with a proper focus on SEO get a significant number of visitors.
      c. Some websites that are developed with a proper focus on SEO get a significant number of visitors.
      d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors.
    ans D



    2. Some people over 60 years of age are conservative investors.
      a. Not all people over 60 years of age are conservative investors.
      b. No person over the age of 60 is a conservative investor.
      c. Not everyone over 60 is a conservative investor.
      d. Most people are conservative investors.
    ans B



    3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.
      a. Not every laptop powered by HCD processor is prone to over-heating issues.
      b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
      c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
      d. More than 70% laptops powered by HCD processor are prone to over-heating issues.
    ans D


    4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.
      a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
      b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
      c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
      d. No GMAT taker will agree that the GMAT is a mentally gruelling exam
      .
Here i feel all the choices are sufficient to negate the original sentence.
ans ABCD


Hi chetan2u

You are moderator of course and you know more than me, but just for purpose to explain e-gmat's logic and help other students I want to clarify something.

In the 4th question you say that every answer is possible because they mean {not 100%}. But according to e-gmat the logical negation of a statement should account for all the possibilities lying outside the sample space of the given statement. Therefore, other options cannot be the "perfect negation" though they negate the sentence.

Attachment:
09.png



For students who want to learn more about negation refer to the link below :-D :

http://gmatclub.com/forum/negation-test-series-article-1-understand-negation-sample-spaces-198821.html



Hi...

Sorry .. just saw your reply
The Q is about accepted LOGIC and not Someone's logic.
Any of gmattaker means everyone will follow a certain line.
So if you can prove that ATLEAST one will not follow the line, you are negating the original reasoning or sentence.

This is what each of the four choices is doing. So all can weaken the main sentence.


Hi chetan2u,

Can you please explain the difference between ANY and EVERY? I am really confused between the two.

Thanks in advance! :)

Thanks.
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Re: Learn How to Negate Statements: Exercise Questions [#permalink]

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New post 06 Dec 2017, 22:28
The solution is marked in RED:

Identify the correct negations for the following statements.

1. Most websites that are developed with a proper focus on SEO get a significant number of visitors.

a. 49% of the websites that are developed without a proper focus on SEO get a significant number of visitors.
b. All websites that are developed with a proper focus on SEO get a significant number of visitors.
c. Some websites that are developed with a proper focus on SEO get a significant number of visitors.
d. Up to 50% of the websites that are developed with a proper focus on SEO get a significant number of visitors.




2. Some people over 60 years of age are conservative investors.

a. Not all people over 60 years of age are conservative investors.
b. No person over the age of 60 is a conservative investor.
c. Not everyone over 60 is a conservative investor.
d. Most people are conservative investors.



3. Up to 70% of the laptops powered by HCD processor are prone to over-heating issues.

a. Not every laptop powered by HCD processor is prone to over-heating issues.
b. Some laptops that are not powered by HCD processor are prone to over-heating issues.
c. 70% or more laptops powered by HCD processor are prone to over-heating issues.
d. More than 70% laptops powered by HCD processor are prone to over-heating issues.


4. Any GMAT taker will agree that the GMAT is a mentally gruelling exam.

a. Only some GMAT takers will agree that the GMAT is a mentally gruelling exam.
b. Not more than half of the GMAT takers will agree that the GMAT is a mentally gruelling exam.
c. Not every GMAT taker will agree that the GMAT is a mentally gruelling exam.
d. No GMAT taker will agree that the GMAT is a mentally gruelling exam.

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Re: Learn How to Negate Statements: Exercise Questions   [#permalink] 06 Dec 2017, 22:28
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Learn How to Negate Statements: Exercise Questions

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