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# Questions that test your understanding of Negation

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Updated on: 27 May 2015, 01:08
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This Summer, Master your Verbal Skills Absolutely Free! Get better help – Get better materials - Get better at Verbal!

Understand Negation and Sample Spaces: Exercise Questions

Here are the exercise problems for the article Understand Negation and Sample Spaces. These problems test your understanding of the concepts of Negation and Sample Spaces. Give these problems a try and post your answers below as a reply.

I. Assume that you’re dealing with a segment of 100 people. Following are the number of people from this set who do a particular job, job X. For each statement below, determine which all groups can it fall under; for instance, the statement 0 people do X falls under Group A. None = 0, Group C. Not more than half = 0-50, and Group E. Not all = 0-99.

i. Only 1 person does X.

ii. Only 50 people do X.

iii. Only 70 people do X.

iv. 100 people do X.

A. None
B. Some
C. Not more than half
D. Most
E. Not all
F. All

II. In the following table, map the elements of the first column to their exact matches in the second column

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
a. The room is bright.
b. The room is not bright.
c. The room is anything but bright.
d. The room is anything but dark.
e. The room is not dark.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
a. The per-minute charge of a call made from a landline is lower than the per-minute call charge made from a cell phone.
b. The per-minute charge of a call made from a landline is low.
c. The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
d. The per-minute charge of a call not made from a landline is higher than the per-minute call charge made from a cell phone.
e. The per-minute charge of a call made from a cell phone is high.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
a. The buildings in Oakville are as weak as the buildings in Cottonville.
b. The buildings not in Oakville are not stronger than the buildings in Cottonville.
c. The buildings in Oakville are weaker than the buildings in Cottonville.
d. The buildings in Oakville are not as strong as the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.
f. The buildings not in Oakville are not as strong as the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville.

Good Luck!

Solutions will be posted soon!
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Originally posted by egmat on 26 May 2015, 23:43.
Last edited by egmat on 27 May 2015, 01:08, edited 2 times in total.
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27 May 2015, 08:25
1
egmat wrote:

These problems test your understanding of the concepts of Negation and Sample Spaces. Give these problems a try and post your answers below as a reply.[/b][/size]

I. Assume that you’re dealing with a segment of 100 people. Following are the number of people from this set who do a particular job, job X. For each statement below, determine which all groups can it fall under; for instance, the statement 0 people do X falls under Group A. None = 0, Group C. Not more than half = 0-50, and Group E. Not all = 0-99.

i. Only 1 person does X.

ii. Only 50 people do X.

iii. Only 70 people do X.

iv. 100 people do X.

A. None
B. Some
C. Not more than half
D. Most
E. Not all
F. All

Here :
i. Only 1 person does X. ( Belongs to B.(Some), C. (Not more than half) & E.(Not All) )

ii. Only 50 people do X. ( Belongs to C.(Not more than half), B.(Some) & E.(Not all) )

iii. Only 70 people do X. ( Belongs to D.(Most), B.(Some) & E.(Not all) )

iv. 100 people do X. (Belongs to B.(Some) & F.(all))

egmat wrote:

II. In the following table, map the elements of the first column to their exact matches in the second column

Some: 1-99
Up to Half: 0-49
Most:50 -100
Not All: 1-99
[color=#0000ff]

egmat wrote:

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
a. The room is bright.
b. The room is not bright.
c. The room is anything but bright.
d. The room is anything but dark.
e. The room is not dark.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
a. The per-minute charge of a call made from a landline is lower than the per-minute call charge made from a cell phone.
b. The per-minute charge of a call made from a landline is low.
c. The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
d. The per-minute charge of a call not made from a landline is higher than the per-minute call charge made from a cell phone.
e. The per-minute charge of a call made from a cell phone is high.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
a. The buildings in Oakville are as weak as the buildings in Cottonville.
b. The buildings not in Oakville are not stronger than the buildings in Cottonville.
c. The buildings in Oakville are weaker than the buildings in Cottonville.
d. The buildings in Oakville are not as strong as the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.f. The buildings not in Oakville are not as strong as the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville.

Please let me know if my understanding of NEGATION is correct.
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05 Jun 2015, 21:53
I i-- Group B,C ,and E
ii-- Group B,D ,and E
iii-- Group B,D ,and E
iv-- Group B,D ,and F

II Some-- 1-99
Up to half-- 0-49
Most-- 50-100
Not All-- 0-99

III 1. d and e
2. f
3. e and g
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06 Jun 2015, 22:15
I. Assume that you’re dealing with a segment of 100 people. Following are the number of people from this set who do a particular job, job X. For each statement below, determine which all groups can it fall under; for instance, the statement 0 people do X falls under Group A. None = 0, Group C. Not more than half = 0-50, and Group E. Not all = 0-99.

i. Only 1 person does X. [B]Some

ii. Only 50 people do X. [C]Not more than half

iii. Only 70 people do X. [D]Most

iv. 100 people do X. [F]All

A. None
B. Some
C. Not more than half
D. Most
E. Not all
F. All

II. In the following table, map the elements of the first column to their exact matches in the second column

Some = 1 - 99
Most = 50 - 100
Not all = 0 - 99
Up to half = 0 - 49

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
a. The room is bright.
b. The room is not bright.
c. The room is anything but bright.
d. The room is anything but dark.
e. The room is not dark. CORRECT

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
a. The per-minute charge of a call made from a landline is lower than the per-minute call charge made from a cell phone.
b. The per-minute charge of a call made from a landline is low.
c. The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
d. The per-minute charge of a call not made from a landline is higher than the per-minute call charge made from a cell phone.
e. The per-minute charge of a call made from a cell phone is high.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone. CORRECT

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
a. The buildings in Oakville are as weak as the buildings in Cottonville.
b. The buildings not in Oakville are not stronger than the buildings in Cottonville.
c. The buildings in Oakville are weaker than the buildings in Cottonville.
d. The buildings in Oakville are not as strong as the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville. CORRECT
f. The buildings not in Oakville are not as strong as the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville.

Thanks
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07 Jun 2015, 00:07
ankushbagwale wrote:
egmat wrote:

These problems test your understanding of the concepts of Negation and Sample Spaces. Give these problems a try and post your answers below as a reply.[/b][/size]

I. Assume that you’re dealing with a segment of 100 people. Following are the number of people from this set who do a particular job, job X. For each statement below, determine which all groups can it fall under; for instance, the statement 0 people do X falls under Group A. None = 0, Group C. Not more than half = 0-50, and Group E. Not all = 0-99.

i. Only 1 person does X.

ii. Only 50 people do X.

iii. Only 70 people do X.

iv. 100 people do X.

A. None
B. Some
C. Not more than half
D. Most
E. Not all
F. All

Here :
i. Only 1 person does X. ( Belongs to B.(Some), C. (Not more than half) & E.(Not All) )

ii. Only 50 people do X. ( Belongs to C.(Not more than half), B.(Some) & E.(Not all) )

iii. Only 70 people do X. ( Belongs to D.(Most), B.(Some) & E.(Not all) )

iv. 100 people do X. (Belongs to B.(Some) & F.(all))

egmat wrote:

II. In the following table, map the elements of the first column to their exact matches in the second column

Some: 1-99
Up to Half: 0-49
Most:50 -100
Not All: 1-99
[color=#0000ff]

egmat wrote:

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
a. The room is bright.
b. The room is not bright.
c. The room is anything but bright.
d. The room is anything but dark.
e. The room is not dark.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
a. The per-minute charge of a call made from a landline is lower than the per-minute call charge made from a cell phone.
b. The per-minute charge of a call made from a landline is low.
c. The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
d. The per-minute charge of a call not made from a landline is higher than the per-minute call charge made from a cell phone.
e. The per-minute charge of a call made from a cell phone is high.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
a. The buildings in Oakville are as weak as the buildings in Cottonville.
b. The buildings not in Oakville are not stronger than the buildings in Cottonville.
c. The buildings in Oakville are weaker than the buildings in Cottonville.
d. The buildings in Oakville are not as strong as the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.f. The buildings not in Oakville are not as strong as the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville.

Please let me know if my understanding of NEGATION is correct.

Is the option for Most correct ? In my opinion, Most should be 51-100, not 50-100. Please let me know if there is any gap in my understanding.
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07 Jun 2015, 02:26
Ans
I. i. Only 1 person does X. - B,C,E

ii. Only 50 people do X. - B,C,E

iii. Only 70 people do X. - B,D,E

iv. 100 people do X.-B,D,F

II. Some - 1-99
Up to half - 0-49
Most - 50-100
Not all - 0-99

III 1. d,e
2. f
3.e,g
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07 Sep 2015, 22:22
Assume that you’re dealing with a segment of 100 people. Following are the number of people from this set who do a particular job, job X. For each statement below, determine which all groups can it fall under; for instance, the statement 0 people do X falls under Group A. None = 0, Group C. Not more than half = 0-50, and Group E. Not all = 0-99.

i. Only 1 person does X.- Group B, C,E

ii. Only 50 people do X. - GROUP B, C, &E

iii. Only 70 people do X.-GROUP B,D & E

iv. 100 people do X. - GROUP B, D & F.

A. None
B. Some
C. Not more than half
D. Most
E. Not all
F. All
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07 Sep 2015, 22:33
1. Given statement: The room is dark.
a. The room is bright.
b. The room is not bright.
c. The room is anything but bright.
d. The room is anything but dark.
e. [b]The room is not dark.[/b]

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
a. The per-minute charge of a call made from a landline is lower than the per-minute call charge made from a cell phone.
b. The per-minute charge of a call made from a landline is low.
c. The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
d. The per-minute charge of a call not made from a landline is higher than the per-minute call charge made from a cell phone.
e. The per-minute charge of a call made from a cell phone is high.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
a. The buildings in Oakville are as weak as the buildings in Cottonville.
b. The buildings not in Oakville are not stronger than the buildings in Cottonville.
c. The buildings in Oakville are weaker than the buildings in Cottonville.
d. The buildings in Oakville are not as strong as the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.
f. The buildings not in Oakville are not as strong as the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville.

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19 Sep 2015, 11:47
i. Only 1 person does X. - B (some); C (no more than half); E (not all)

ii. Only 50 people do X. - B (some); C (not more than half); D (most); E (not all)

iii. Only 70 people do X. - B (some); D (most); E (not all)

iv. 100 people do X. - B (some); C (most); F (all)
Nevertheless, the question II has information that comes in contradiction to information in Q I.

II. In the following table, map the elements of the first column to their exact matches in the second column

Some is 1-100. Nevertheless here is given 1-99. e-gmat pls explain.
up to half - 1-49. Here is 0-49. e-gmat pls explain.
most - 51-100. here is 50-100. e-gmat pls. explain
not all - 0-99.

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
d. The room is anything but dark. - this is the same as the room is not dark
e. The room is not dark
.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville. - this is the same as saying the buildings in O are not stronger than the buildings in C. If the buildings are not stronger, logically, they should be either as strong or weaker.

Taking into consideration the ambiguous information presented, I ask e-gmat to come to clarify and to give OA/OE to the questions.
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13 Mar 2017, 22:38
mvictor wrote:
i. Only 1 person does X. - B (some); C (no more than half); E (not all)

ii. Only 50 people do X. - B (some); C (not more than half); D (most); E (not all)

iii. Only 70 people do X. - B (some); D (most); E (not all)

iv. 100 people do X. - B (some); C (most); F (all)
Nevertheless, the question II has information that comes in contradiction to information in Q I.

II. In the following table, map the elements of the first column to their exact matches in the second column

Some is 1-100. Nevertheless here is given 1-99. e-gmat pls explain.
up to half - 1-49. Here is 0-49. e-gmat pls explain.
most - 51-100. here is 50-100. e-gmat pls. explain
not all - 0-99.

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
d. The room is anything but dark. - this is the same as the room is not dark
e. The room is not dark
.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville. - this is the same as saying the buildings in O are not stronger than the buildings in C. If the buildings are not stronger, logically, they should be either as strong or weaker.

Taking into consideration the ambiguous information presented, I ask e-gmat to come to clarify and to give OA/OE to the questions.

I do not understand why for question III. (3) c is not correct- The buildings in Oakville are weaker than the buildings in Cottonville. This is polar opposite of the gven statement so why is it not the correct negation?
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13 Mar 2017, 22:42
Dear Payal

My question pertains to III. C

why are options c and d incorrect ?

C is the polar opposite of the given statement.( The buildings in Oakville are weaker than the buildings in Cottonville)

D The buildings in Oakville are not as strong as the buildings in Cottonville. D implies that Oakville buildings are not stronger than Cottonville, in fact they are not even as strong as Cottonville--> same as Oakville buildings not stronger than Cottonville.
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15 Mar 2017, 21:58
mvictor wrote:
i. Only 1 person does X. - B (some); C (no more than half); E (not all)

ii. Only 50 people do X. - B (some); C (not more than half); D (most); E (not all)

iii. Only 70 people do X. - B (some); D (most); E (not all)

iv. 100 people do X. - B (some); C (most); F (all)
Nevertheless, the question II has information that comes in contradiction to information in Q I.

II. In the following table, map the elements of the first column to their exact matches in the second column

Some is 1-100. Nevertheless here is given 1-99. e-gmat pls explain.
up to half - 1-49. Here is 0-49. e-gmat pls explain.
most - 51-100. here is 50-100. e-gmat pls. explain
not all - 0-99.

III. For each of the given statements, choose the correct negation form(s) from the option statements.

1. Given statement: The room is dark.
d. The room is anything but dark. - this is the same as the room is not dark
e. The room is not dark
.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.
f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.
e. The buildings in Oakville are not stronger than the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville. - this is the same as saying the buildings in O are not stronger than the buildings in C. If the buildings are not stronger, logically, they should be either as strong or weaker.

Taking into consideration the ambiguous information presented, I ask e-gmat to come to clarify and to give OA/OE to the questions.

hey , can you clarify this statement =ii. Only 50 people do X. - B (some); C (not more than half); D (most); E (not all), in this you wrote most but the range for most is 51-100 then how only 50 can be in this range .
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06 Dec 2017, 22:06
Q.1

i. Only 1 person does X. - B, C, E

ii. Only 50 people do X. - B, C, E

iii. Only 70 people do X. - B, D, E

iv. 100 people do X. - B, D, F

Q.2

This is where I found some of the options rather confusing since they differ from the possibility range given by e-GMAT in the Negation article.

Some - 1 to 99
Up to half - Should be 0 to 50 (but the option mentions 0 to 49)
Most - Should be 51 to 100 (but the option mentions 50 to 100)
Not all - 0 to 99

Q.3

Given statement:

The room is dark.

d. The room is anything but dark.
e. The room is not dark.

2. Given statement: The per-minute charge of a call made from a landline is higher than the per-minute call charge made from a cell phone.

f. The per-minute charge of a call made from a landline is not higher than the per-minute call charge made from a cell phone.

3. Given statement: The buildings in Oakville are stronger than the buildings in Cottonville.

e. The buildings in Oakville are not stronger than the buildings in Cottonville.
g. The buildings in Oakville are as strong as or weaker than the buildings in Cottonville.
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31 Dec 2017, 20:01
Lawl, I am fairly sure the person who posted this post isn't really Payal from e-GMAT. Probably someone else from e-GMAT.

There are two issues:

1) Where's the solution verification/discussion at?

2) Up to Half: 0-50
Some: 1-100
Not All: 0-99

I really like the Negation Lesson e-GMAT posted but mods should consider removing this post..because if someone read this first before the actual negation post...it's gonna do MORE HARM than good.
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27 Apr 2019, 23:59
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