|
Author |
Message |
|
TAGS:
|
|
|
Manager
Joined: 26 Apr 2010
Posts: 127
Concentration: Strategy, Entrepreneurship
Followers: 2
Kudos [?]:
25
[1] , given: 54
|
For all numbers t, let //t// be defined as the greatest [#permalink]
 26 Nov 2010, 15:03
1
This post received
KUDOS
Question Stats:
48% (01:45) correct
51% (00:54) wrong based on 1 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: KnewtonSolution to follow...interested to see how people interrupt this question.
_________________
I appreciate the kudos if you find this post helpful! +1
Last edited by Bunuel on 01 Feb 2012, 13:56, edited 2 times in total.
Edited the question
|
|
|
|
|
|
|
|
|
Manager
Joined: 02 Apr 2010
Posts: 103
Followers: 2
Kudos [?]:
76
[0], given: 18
|
Re: Awkward DS.... [#permalink]
26 Nov 2010, 15:15
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.
|
|
|
|
|
|
Manager
Joined: 26 Apr 2010
Posts: 127
Concentration: Strategy, Entrepreneurship
Followers: 2
Kudos [?]:
25
[1] , given: 54
|
Re: Awkward DS.... [#permalink]
26 Nov 2010, 15:26
1
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
Joined: 26 Apr 2010
Posts: 127
Concentration: Strategy, Entrepreneurship
Followers: 2
Kudos [?]:
25
[0], given: 54
|
Re: Awkward DS.... [#permalink]
26 Nov 2010, 23:25
krishnasty wrote: martie11 wrote: Source: KnewtonFor 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
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11550
Followers: 1795
Kudos [?]:
9567
[0], given: 826
|
Re: Awkward DS.... [#permalink]
27 Nov 2010, 02:15
krishnasty wrote: martie11 wrote: Source: KnewtonFor 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.htmlHope it helps.
_________________
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
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. NEW!!!
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. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Manager
Status: Still Struggling
Joined: 03 Nov 2010
Posts: 142
Location: India
GMAT Date: 10-15-2011
GPA: 3.71
WE: Information Technology (Computer Software)
Followers: 3
Kudos [?]:
24
[0], given: 8
|
Re: Awkward DS.... [#permalink]
27 Nov 2010, 08:59
hmmmmmm...........  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
Status: I rest, I rust.
Joined: 04 Oct 2010
Posts: 128
Schools: ISB - Co 2013
WE 1: IT Professional since 2006
Followers: 13
Kudos [?]:
84
[0], given: 8
|
Re: Awkward DS.... [#permalink]
27 Nov 2010, 20:39
martie11 wrote: Source: KnewtonFor 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
Joined: 08 Jun 2010
Posts: 174
Followers: 1
Kudos [?]:
2
[0], given: 10
|
Re: Awkward DS.... [#permalink]
31 Dec 2010, 11:11
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
Joined: 13 Aug 2012
Posts: 468
Followers: 12
Kudos [?]:
75
[0], given: 11
|
Re: For all numbers t, let //t// be defined as the greatest [#permalink]
18 Dec 2012, 01:29
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
|
|
|
|
|
|
|
Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
18 Dec 2012, 01:29
|
|
|
|
|
|
|
|
|
|
|
close
