Find all School-related info fast with the new School-Specific MBA Forum

It is currently 22 Sep 2014, 10:46

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
Manager
Manager
User avatar
Joined: 26 Apr 2010
Posts: 126
Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
Followers: 2

Kudos [?]: 36 [2] , given: 54

GMAT ToolKit User GMAT Tests User
For all numbers t, let //t// be defined as the greatest [#permalink] New post 26 Nov 2010, 14:03
2
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

48% (02:25) correct 52% (01:10) wrong based on 229 sessions
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
Knewton GMAT Discount CodesKaplan GMAT Prep Discount CodesGMAT Pill GMAT Discount Codes
2 KUDOS received
Manager
Manager
avatar
Joined: 02 Apr 2010
Posts: 103
Followers: 5

Kudos [?]: 92 [2] , given: 18

Re: Awkward DS.... [#permalink] New post 26 Nov 2010, 14:15
2
This post received
KUDOS
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.
3 KUDOS received
Manager
Manager
User avatar
Joined: 26 Apr 2010
Posts: 126
Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
Followers: 2

Kudos [?]: 36 [3] , given: 54

GMAT ToolKit User GMAT Tests User
Re: Awkward DS.... [#permalink] New post 26 Nov 2010, 14:26
3
This post received
KUDOS
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

Manager
Manager
User avatar
Joined: 26 Apr 2010
Posts: 126
Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
Followers: 2

Kudos [?]: 36 [0], given: 54

GMAT ToolKit User GMAT Tests User
Re: Awkward DS.... [#permalink] 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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23509
Followers: 3515

Kudos [?]: 26673 [0], given: 2714

Re: Awkward DS.... [#permalink] New post 27 Nov 2010, 01:15
Expert's post
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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
User avatar
Status: Still Struggling
Joined: 02 Nov 2010
Posts: 139
Location: India
GMAT Date: 10-15-2011
GPA: 3.71
WE: Information Technology (Computer Software)
Followers: 5

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

Re: Awkward DS.... [#permalink] 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)

Manager
Manager
User avatar
Status: I rest, I rust.
Joined: 04 Oct 2010
Posts: 121
Schools: ISB - Co 2013
WE 1: IT Professional since 2006
Followers: 15

Kudos [?]: 101 [0], given: 8

GMAT Tests User
Re: Awkward DS.... [#permalink] 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.

Manager
Manager
avatar
Joined: 08 Jun 2010
Posts: 172
Followers: 1

Kudos [?]: 6 [0], given: 10

Re: Awkward DS.... [#permalink] 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
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 16

Kudos [?]: 197 [0], given: 11

GMAT ToolKit User GMAT Tests User
Re: For all numbers t, let //t// be defined as the greatest [#permalink] 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.

SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 2453
Followers: 198

Kudos [?]: 38 [0], given: 0

Premium Member
Re: For all numbers t, let //t// be defined as the greatest [#permalink] New post 31 Jan 2014, 10:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23509
Followers: 3515

Kudos [?]: 26673 [1] , given: 2714

Re: For all numbers t, let //t// be defined as the greatest [#permalink] New post 01 Feb 2014, 03:28
1
This post received
KUDOS
Expert's post
1
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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 23 Jan 2013
Posts: 95
Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 9 [0], given: 19

GMAT ToolKit User CAT Tests
Re: For all numbers t, let //t// be defined as the greatest [#permalink] 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 ... :?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23509
Followers: 3515

Kudos [?]: 26673 [0], given: 2714

Re: For all numbers t, let //t// be defined as the greatest [#permalink] New post 12 Sep 2014, 03:51
Expert's post
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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: For all numbers t, let //t// be defined as the greatest   [#permalink] 12 Sep 2014, 03:51
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic For any number y, y* is defined as the greatest positive goodyear2013 1 18 Apr 2014, 08:50
For all positive integers n, /n/ is defined as the number kevincan 7 16 Nov 2006, 07:33
For all real numbers v, the operation v* is defined by the lan583 3 12 Sep 2006, 10:56
For all numbers p and q, the operation Ω is defined by lan583 1 08 Sep 2006, 17:04
The operation  is defined for all nonzero numbers a TOUGH GUY 2 10 Oct 2005, 05:38
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.