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# Is the range of the integers 6, 3, y, 4, 5, and x greater

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Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [0], given: 12185

Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

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25 Jun 2012, 03:03
Expert's post
22
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00:00

Difficulty:

65% (hard)

Question Stats:

57% (01:23) correct 43% (01:27) wrong based on 1016 sessions

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Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

(1) y > 3x
(2) y > x > 3

Diagnostic Test
Question: 32
Page: 25
Difficulty: 650
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128980 [0], given: 12185

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [0], given: 12185

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

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25 Jun 2012, 03:04
Expert's post
6
This post was
BOOKMARKED
SOLUTION

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x. If $$x=1$$ and $$y=4$$ then the range=6-1=5<9 but if $$x=100$$ then the range>9. Not sufficient.

(2) y > x > 3. If $$x=4$$ and $$y=5$$ then the range=6-3=3<9 but if $$x=100$$ then the range>9. Not sufficient.

(1)+(2) From $$x > 3$$ we have that the least value of $$x$$ is 4, and from $$y > 3x=12$$ we have that the least value of $$y$$ is 13, hence the least value of the range is 13-3=10>9. Sufficient.

_________________

Kudos [?]: 128980 [0], given: 12185

Joined: 29 Mar 2012
Posts: 322

Kudos [?]: 515 [2], given: 23

Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

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25 Jun 2012, 08:41
2
KUDOS
Hi,

Range = Largest value - smallest value.

6, 3, y, 4, 5, and x, where x & y are integers

Using (1),
y>3x, if x=1, then y = 4, 5,..100....
in each case range can be 5, 6,....So, range is greater than 5. Insufficient.

Using (2),
y>x>3.
Minimum value of x = 4,
y=5,6,7... We can't say whether range is greater than 9.

Combining both statements;
$$x_{min} = 4$$
& since, y > 3x, $$y_{min}=13,$$
thus, 3, 4, 4, 5, 6, & 13 has range (13-3)=10, which is greater than 9
and on increasing x, range will also increase.

Regards,

Kudos [?]: 515 [2], given: 23

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [1], given: 12185

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

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29 Jun 2012, 04:36
1
KUDOS
Expert's post
SOLUTION

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x. If $$x=1$$ and $$y=4$$ then the range=6-1=5<9 but if $$x=100$$ then the range>9. Not sufficient.

(2) y > x > 3. If $$x=4$$ and $$y=5$$ then the range=6-3=3<9 but if $$x=100$$ then the range>9. Not sufficient.

(1)+(2) From $$x > 3$$ we have that the least value of $$x$$ is 4, and from $$y > 3x=12$$ we have that the least value of $$y$$ is 13, hence the least value of the range is 13-3=10>9. Sufficient.

_________________

Kudos [?]: 128980 [1], given: 12185

Senior Manager
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 404

Kudos [?]: 479 [1], given: 53

Location: United States (CA)
Age: 37
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

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27 Mar 2016, 19:25
1
KUDOS
Here is a visual that should help.
Attachments

Screen Shot 2016-03-27 at 7.23.57 PM.png [ 93.38 KiB | Viewed 4616 times ]

_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and via Skype, since 2002.

McElroy Tutoring

Kudos [?]: 479 [1], given: 53

CEO
Joined: 17 Jul 2014
Posts: 2604

Kudos [?]: 394 [0], given: 184

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

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03 Nov 2016, 06:49
Bunuel wrote:
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

(1) y > 3x
(2) y > x > 3

Diagnostic Test
Question: 32
Page: 25
Difficulty: 650

pretty easy for a 700 level question...

1. x can be 1, and y can be 4 - so the answer is NO
x can be 4, and y can be 13 - so the answer is YES.
1 alone is insufficient. A and D are out.

2. y>x>3.
x can be 4, y =5 - answer is no
x can be 4, y can be 20 - answer is YES.
2 alone is not sufficient. B is out.

1+2.
x>3
y>3x
minimum value for x is 4.
minimum value for y is 13
yes, the range is greater than 9.

sufficient.

Kudos [?]: 394 [0], given: 184

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater   [#permalink] 03 Nov 2016, 06:49
Display posts from previous: Sort by
Given the text passage, I will analyze it to determine if it contains a mathematical question and if an answer is provided.

Content structure:
The text is a GMAT question from the GMAT Club Daily Prep. It presents a problem involving the range of a set of integers and provides two statements to evaluate.

Analysis:
single_question_with_answer

the passage contains a mathematical question: "is the range of the integers 6, 3, y, 4, 5, and x greater than 9?" it also provides an answer and explanation in the [reveal] section, indicating that the correct answer is (c) - both statements together are sufficient to determine that the range is indeed greater than 9.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
It is currently 20 Oct 2017, 08:02

### GMAT Club Daily Prep

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# Events & Promotions

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# Is the range of the integers 6, 3, y, 4, 5, and x greater

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [0], given: 12185

Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

### Show Tags

25 Jun 2012, 03:03
Expert's post
22
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

57% (01:23) correct 43% (01:27) wrong based on 1016 sessions

### HideShow timer Statistics

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

(1) y > 3x
(2) y > x > 3

Diagnostic Test
Question: 32
Page: 25
Difficulty: 650
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128980 [0], given: 12185

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [0], given: 12185

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

### Show Tags

25 Jun 2012, 03:04
Expert's post
6
This post was
BOOKMARKED
SOLUTION

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x. If $$x=1$$ and $$y=4$$ then the range=6-1=5<9 but if $$x=100$$ then the range>9. Not sufficient.

(2) y > x > 3. If $$x=4$$ and $$y=5$$ then the range=6-3=3<9 but if $$x=100$$ then the range>9. Not sufficient.

(1)+(2) From $$x > 3$$ we have that the least value of $$x$$ is 4, and from $$y > 3x=12$$ we have that the least value of $$y$$ is 13, hence the least value of the range is 13-3=10>9. Sufficient.

_________________

Kudos [?]: 128980 [0], given: 12185

Joined: 29 Mar 2012
Posts: 322

Kudos [?]: 515 [2], given: 23

Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

### Show Tags

25 Jun 2012, 08:41
2
KUDOS
Hi,

Range = Largest value - smallest value.

6, 3, y, 4, 5, and x, where x & y are integers

Using (1),
y>3x, if x=1, then y = 4, 5,..100....
in each case range can be 5, 6,....So, range is greater than 5. Insufficient.

Using (2),
y>x>3.
Minimum value of x = 4,
y=5,6,7... We can't say whether range is greater than 9.

Combining both statements;
$$x_{min} = 4$$
& since, y > 3x, $$y_{min}=13,$$
thus, 3, 4, 4, 5, 6, & 13 has range (13-3)=10, which is greater than 9
and on increasing x, range will also increase.

Regards,

Kudos [?]: 515 [2], given: 23

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128980 [1], given: 12185

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

### Show Tags

29 Jun 2012, 04:36
1
KUDOS
Expert's post
SOLUTION

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x. If $$x=1$$ and $$y=4$$ then the range=6-1=5<9 but if $$x=100$$ then the range>9. Not sufficient.

(2) y > x > 3. If $$x=4$$ and $$y=5$$ then the range=6-3=3<9 but if $$x=100$$ then the range>9. Not sufficient.

(1)+(2) From $$x > 3$$ we have that the least value of $$x$$ is 4, and from $$y > 3x=12$$ we have that the least value of $$y$$ is 13, hence the least value of the range is 13-3=10>9. Sufficient.

_________________

Kudos [?]: 128980 [1], given: 12185

Senior Manager
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 404

Kudos [?]: 479 [1], given: 53

Location: United States (CA)
Age: 37
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

### Show Tags

27 Mar 2016, 19:25
1
KUDOS
Here is a visual that should help.
Attachments

Screen Shot 2016-03-27 at 7.23.57 PM.png [ 93.38 KiB | Viewed 4616 times ]

_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and via Skype, since 2002.

McElroy Tutoring

Kudos [?]: 479 [1], given: 53

CEO
Joined: 17 Jul 2014
Posts: 2604

Kudos [?]: 394 [0], given: 184

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]

### Show Tags

03 Nov 2016, 06:49
Bunuel wrote:
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

(1) y > 3x
(2) y > x > 3

Diagnostic Test
Question: 32
Page: 25
Difficulty: 650

pretty easy for a 700 level question...

1. x can be 1, and y can be 4 - so the answer is NO
x can be 4, and y can be 13 - so the answer is YES.
1 alone is insufficient. A and D are out.

2. y>x>3.
x can be 4, y =5 - answer is no
x can be 4, y can be 20 - answer is YES.
2 alone is not sufficient. B is out.

1+2.
x>3
y>3x
minimum value for x is 4.
minimum value for y is 13
yes, the range is greater than 9.

sufficient.

Kudos [?]: 394 [0], given: 184

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater   [#permalink] 03 Nov 2016, 06:49
Display posts from previous: Sort by
user
Given the text passage, I will analyze it to determine if it contains a mathematical question and if an answer is provided.

Content structure:
The text is a GMAT question from the GMAT Club Daily Prep. It presents a problem involving the range of a set of integers and provides two statements to evaluate.

Analysis:
TYPE: SINGLE_QUESTION_WITH_ANSWER

The passage contains a mathematical question: "Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?" It also provides an answer and explanation in the [Reveal] section, indicating that the correct answer is (C) - both statements together are sufficient to determine that the range is indeed greater than 9.