It is currently 18 Dec 2017, 06:59

Final Week of R1 Decisions:

CHAT Rooms | MIT Sloan | McCombs 


Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

For all numbers t, let //t// be defined as the greatest

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Joined: 26 Apr 2010
Posts: 113

Kudos [?]: 157 [2], given: 54

Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
GMAT ToolKit User
For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 26 Nov 2010, 14:03
2
This post received
KUDOS
27
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

54% (01:30) correct 46% (01:16) wrong based on 720 sessions

HideShow timer Statistics

For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

(1) 5 < k < 6
(2) //k + 2.3// = 7


Source: Knewton

Solution to follow...interested to see how people interrupt this question.
[Reveal] Spoiler: OA

_________________

I appreciate the kudos if you find this post helpful! +1


Last edited by Bunuel on 01 Feb 2012, 12:56, edited 2 times in total.
Edited the question

Kudos [?]: 157 [2], given: 54

2 KUDOS received
Manager
Manager
avatar
Joined: 02 Apr 2010
Posts: 102

Kudos [?]: 145 [2], given: 18

Re: Awkward DS.... [#permalink]

Show Tags

New post 26 Nov 2010, 14:15
2
This post received
KUDOS
1
This post was
BOOKMARKED
Statement A: Tells you that k is somewhere between 5 and 6. Based on the definition of the question stem /k/ is thus 5, which is not evently divisible by 2.

=> Sufficient

Statement B:Tells you that the following inequality has to hold: 7 < k + 2.3 < 8 => 4.7 < k < 5.7 => /k/ has to equal 5, which is not evenly divisible.

=> Sufficient

Hence, solution D is correct.

Kudos [?]: 145 [2], given: 18

5 KUDOS received
Manager
Manager
User avatar
Joined: 26 Apr 2010
Posts: 113

Kudos [?]: 157 [5], given: 54

Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
GMAT ToolKit User
Re: Awkward DS.... [#permalink]

Show Tags

New post 26 Nov 2010, 14:26
5
This post received
KUDOS
2
This post was
BOOKMARKED
Thanks for the reply stanford2012.

Looking at statement b...
Slight correction in your inequality: 4.7 ≤ k < 5.7. With this inequality, we see that k can be 4.7, 4.8, 4.9, etc. Hence, if k < 5 then //k// = 4, which is divisible by 2.
However, if k = 5.2, then //k// = 5, which is not divisible by 2.

Hence insufficient.

Correct answer is A. Updated post with OA.
_________________

I appreciate the kudos if you find this post helpful! +1

Kudos [?]: 157 [5], given: 54

Manager
Manager
User avatar
Joined: 26 Apr 2010
Posts: 113

Kudos [?]: 157 [0], given: 54

Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
GMAT ToolKit User
Re: Awkward DS.... [#permalink]

Show Tags

New post 26 Nov 2010, 22:25
krishnasty wrote:
martie11 wrote:
Source: Knewton

For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

a) 5 < k < 6
b) //k + 2.3// = 7

Solution to follow...interested to see how people interrupt this question.



Can somebody please explain me what '//' symbol implies over here??

-----------------------------------------------------------------
Consider KUDOS if you like my post!


It's my interpretation that this is equivalent to the "floor" of the number.

In this case, say you have x = 11.3. Now the question tries to confuse you: // x // is equal to the greatest integer less than or equal to x, in other words:

// x // --> the largest integer <= x

In this case x = 11.3, so the largest number that is <= 11.3 is 11. So // x // = 11. Note, if x = 11, then by definition, // x // = 11.

I think the concept itself is fairly straightforward, it's the wording that is awkward....

HTHs.
_________________

I appreciate the kudos if you find this post helpful! +1

Kudos [?]: 157 [0], given: 54

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42673

Kudos [?]: 136043 [0], given: 12724

Re: Awkward DS.... [#permalink]

Show Tags

New post 27 Nov 2010, 01:15
krishnasty wrote:
martie11 wrote:
Source: Knewton

For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

a) 5 < k < 6
b) //k + 2.3// = 7

Solution to follow...interested to see how people interrupt this question.



Can somebody please explain me what '//' symbol implies over here??

-----------------------------------------------------------------
Consider KUDOS if you like my post!


Stem defines some function, represented by the symbol \(////\), as the function which rounds down any number to an integer value:

\(//3.4//=3\), \(//2//=2\), \(//-7.5//=-8\), ...

Check similar question for practice: how-x-become-fraction-if-its-been-said-an-integer-94687.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 136043 [0], given: 12724

Manager
Manager
User avatar
Status: Still Struggling
Joined: 02 Nov 2010
Posts: 132

Kudos [?]: 106 [0], given: 8

Location: India
GMAT Date: 10-15-2011
GPA: 3.71
WE: Information Technology (Computer Software)
Re: Awkward DS.... [#permalink]

Show Tags

New post 27 Nov 2010, 07:59
hmmmmmm........... :idea:

much clear now....thanks!!
_________________

Appreciation in KUDOS please!
Knewton Free Test 10/03 - 710 (49/37)
Princeton Free Test 10/08 - 610 (44/31)
Kaplan Test 1- 10/10 - 630
Veritas Prep- 10/11 - 630 (42/37)
MGMAT 1 - 10/12 - 680 (45/34)

Kudos [?]: 106 [0], given: 8

Manager
Manager
User avatar
Status: I rest, I rust.
Joined: 04 Oct 2010
Posts: 121

Kudos [?]: 129 [0], given: 9

Schools: ISB - Co 2013
WE 1: IT Professional since 2006
Re: Awkward DS.... [#permalink]

Show Tags

New post 27 Nov 2010, 19:39
martie11 wrote:
Source: Knewton

For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

a) 5 < k < 6
b) //k + 2.3// = 7

Solution to follow...interested to see how people interrupt this question.


S1: 5< k < 6 means //k// = 5. Not divisible by 2. Sufficient.
S2: //k+2.3// = 7 means 8 > k+2.3 >= 7. therefore 5.7 > k >=4.7 and //k// = 4 or 5. Not Sufficient.

Answer: A
_________________

Respect,
Vaibhav

PS: Correct me if I am wrong.

Kudos [?]: 129 [0], given: 9

Manager
Manager
avatar
Joined: 08 Jun 2010
Posts: 158

Kudos [?]: 35 [0], given: 15

Re: Awkward DS.... [#permalink]

Show Tags

New post 31 Dec 2010, 10:11
Sat.1- 5<k<6 mean any integer n.m. between 5 to 6. 5 is possible integer value.and 5 isn't evenly divisible by 2. suffucient

Kudos [?]: 35 [0], given: 15

Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 457

Kudos [?]: 573 [0], given: 11

Concentration: Marketing, Finance
GPA: 3.23
GMAT ToolKit User
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 18 Dec 2012, 00:29
Rule: //t// is the greatest integer less than or equal to t
Problem: Is //k// evenly divisible by 2?

(1) 5 < k < 6
//k// = 5 which is not divisible by 2
SUFFICIENT.
(2) //k + 2.3// = 7
8 > k + 2.3 >= 7
5.7 > k > 4.7
if k = 4, YES
if not, NO
INSUFFICIENT.

Answer: A
_________________

Impossible is nothing to God.

Kudos [?]: 573 [0], given: 11

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42673

Kudos [?]: 136043 [1], given: 12724

Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 01 Feb 2014, 03:28
1
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
martie11 wrote:
For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

(1) 5 < k < 6
(2) //k + 2.3// = 7


Source: Knewton

Solution to follow...interested to see how people interrupt this question.


Similar questions to practice:
if-denotes-the-least-integer-greater-than-or-equal-to-x-132223.html
if-denotes-the-greatest-integer-less-than-or-equal-to-x-94687.html
for-all-numbers-t-let-t-be-defined-as-the-greatest-105416.html
is-x-an-odd-integer-1-x-2-2x-99856.html
for-all-z-denotes-the-least-integer-greater-than-or-110561.html
denotes-to-be-the-least-integer-no-less-than-x-is-130841.html
for-all-numbers-t-let-t-be-defined-as-the-greatest-105416.html
if-is-the-greatest-integer-less-than-or-equal-to-x-what-144277.html
how-x-become-fraction-if-its-been-said-an-integer-94687.html
awkward-ds-105416.html
help-data-sufficiency-equation-and-inequalities-99856.html
if-denotes-the-greatest-integer-less-than-or-equal-to-x-94687.html
denotes-to-be-the-least-integer-no-less-than-x-is-130841.html
is-the-greatest-integer-less-than-or-equal-to-the-real-n-154006.html
if-denotes-the-greatest-integer-less-than-or-equal-to-z-162078.html
if-denotes-the-least-integer-greater-than-or-equal-to-x-132223.html
is-the-greatest-integer-less-than-or-equal-to-the-real-n-154006.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 136043 [1], given: 12724

Manager
Manager
avatar
Joined: 23 Jan 2013
Posts: 171

Kudos [?]: 58 [0], given: 41

Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 11 Sep 2014, 18:11
Can somebody explain to me why statement B //k + 2.3// = 7 become this 8 > k + 2.3 >= 7 ?

I am confused ... :?

Kudos [?]: 58 [0], given: 41

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42673

Kudos [?]: 136043 [0], given: 12724

Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 12 Sep 2014, 03:51
shelrod007 wrote:
Can somebody explain to me why statement B //k + 2.3// = 7 become this 8 > k + 2.3 >= 7 ?

I am confused ... :?


The function rounds down any number to an integer value:

\(//3.4//=3\), \(//2//=2\), \(//-7.5//=-8\), ...

So, //x// = 7, means that 7 <= x < 8. Any number from this range when rounded down gives 7.

Check other Rounding Functions Questions in our Special Questions Directory.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 136043 [0], given: 12724

Senior Manager
Senior Manager
User avatar
Joined: 17 Jun 2015
Posts: 259

Kudos [?]: 41 [0], given: 165

GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
GMAT ToolKit User
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 19 Dec 2015, 05:54
Statement 1 gives k to be 5. Sufficient

Statement 2, on solving, gives two answers 3 and 4. Insufficient

Hence A
_________________

Fais de ta vie un rêve et d'un rêve une réalité

Kudos [?]: 41 [0], given: 165

Intern
Intern
avatar
Joined: 26 Feb 2016
Posts: 12

Kudos [?]: [0], given: 26

Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 25 Apr 2016, 03:54
Bunuel wrote:
krishnasty wrote:
martie11 wrote:
Source: Knewton

For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

a) 5 < k < 6
b) //k + 2.3// = 7

Solution to follow...interested to see how people interrupt this question.



Can somebody please explain me what '//' symbol implies over here??

-----------------------------------------------------------------
Consider KUDOS if you like my post!


Stem defines some function, represented by the symbol \(////\), as the function which rounds down any number to an integer value:

\(//3.4//=3\), \(//2//=2\), \(//-7.5//=-8\), ...

Check similar question for practice: how-x-become-fraction-if-its-been-said-an-integer-94687.html

Hope it helps.


7 < k + 2.3 < 8
I'm confuse how they got this

Kudos [?]: [0], given: 26

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42673

Kudos [?]: 136043 [0], given: 12724

Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 25 Apr 2016, 04:02
sabxu1 wrote:
Bunuel wrote:

Stem defines some function, represented by the symbol \(////\), as the function which rounds down any number to an integer value:

\(//3.4//=3\), \(//2//=2\), \(//-7.5//=-8\), ...

Check similar question for practice: how-x-become-fraction-if-its-been-said-an-integer-94687.html

Hope it helps.


7 < k + 2.3 < 8
I'm confuse how they got this


The function rounds down any number to an integer value:

\(//3.4//=3\), \(//2//=2\), \(//-7.5//=-8\), ...

So, //x// = 7, means that 7 <= x < 8. Any number from this range when rounded down gives 7.

Check other Rounding Functions Questions in our Special Questions Directory.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 136043 [0], given: 12724

Intern
Intern
avatar
Joined: 11 Aug 2014
Posts: 10

Kudos [?]: 2 [0], given: 82

Location: United States
Concentration: International Business, Entrepreneurship
Schools: HBS '18
GPA: 3.9
GMAT ToolKit User
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 16 May 2016, 21:50
1
This post was
BOOKMARKED
Bunuel , I didn't get why B is not sufficient . Could you please explain.

So, //x// = 7, means that 7 <= x < 8. Any number from this range when rounded down gives 7.

When any number in this range rounds down to 7 , then

//k+2.3//=7

7<=k+2.3<8

4.7<=k<5.7

So K will rounds down either 4 or 5 . Right . That is what you mean ??

That's why B not sufficient ?

Thanks
Regards

Kudos [?]: 2 [0], given: 82

Expert Post
1 KUDOS received
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5377

Kudos [?]: 6164 [1], given: 121

Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 16 May 2016, 22:08
1
This post received
KUDOS
Expert's post
parvgugnani wrote:
Bunuel , I didn't get why B is not sufficient . Could you please explain.

So, //x// = 7, means that 7 <= x < 8. Any number from this range when rounded down gives 7.

When any number in this range rounds down to 7 , then

//k+2.3//=7

7<=k+2.3<8

4.7<=k<5.7

So K will rounds down either 4 or 5 . Right . That is what you mean ??

That's why B not sufficient ?

Thanks
Regards


Yes, you have understood the logic perfectly..
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6164 [1], given: 121

Senior Manager
Senior Manager
avatar
S
Joined: 15 Jan 2017
Posts: 349

Kudos [?]: 5 [0], given: 783

CAT Tests
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 07 Aug 2017, 09:21
I did understand st 1. Pretty clear
But for statement two, how do we know that //k + 2.3 // 7 is basically 8>=7. How do we deduce that there was an 8 as well? It doesn't state anywhere that k is a value between 8 and 7 --> after all, //t// was less than equal to t
Would appreciate some detail on interpreting this, thank you :)

Kudos [?]: 5 [0], given: 783

Manager
Manager
User avatar
B
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 177

Kudos [?]: 8 [0], given: 14

Location: India
Concentration: Finance, International Business
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 06 Nov 2017, 23:35
i have difficulty understanding statement 2 . Can someone please explain the same.

Kudos [?]: 8 [0], given: 14

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42673

Kudos [?]: 136043 [0], given: 12724

Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

New post 06 Nov 2017, 23:39

Kudos [?]: 136043 [0], given: 12724

Re: For all numbers t, let //t// be defined as the greatest   [#permalink] 06 Nov 2017, 23:39
Display posts from previous: Sort by

For all numbers t, let //t// be defined as the greatest

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.