Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 26 Apr 2010
Posts: 111
Concentration: Strategy, Entrepreneurship

For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
Updated on: 01 Feb 2012, 13:56
Question Stats:
53% (01:30) correct 47% (01:15) wrong based on 839 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.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
I appreciate the kudos if you find this post helpful! +1
Originally posted by martie11 on 26 Nov 2010, 15:03.
Last edited by Bunuel on 01 Feb 2012, 13:56, edited 2 times in total.
Edited the question




Manager
Joined: 26 Apr 2010
Posts: 111
Concentration: Strategy, Entrepreneurship

Re: Awkward DS....
[#permalink]
Show Tags
26 Nov 2010, 15:26
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: 02 Apr 2010
Posts: 101

Re: Awkward DS....
[#permalink]
Show Tags
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: 111
Concentration: Strategy, Entrepreneurship

Re: Awkward DS....
[#permalink]
Show Tags
26 Nov 2010, 23:25
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



Math Expert
Joined: 02 Sep 2009
Posts: 47221

Re: Awkward DS....
[#permalink]
Show Tags
27 Nov 2010, 02:15



Manager
Status: Still Struggling
Joined: 03 Nov 2010
Posts: 127
Location: India
GMAT Date: 10152011
GPA: 3.71
WE: Information Technology (Computer Software)

Re: Awkward DS....
[#permalink]
Show Tags
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: 105
Schools: ISB  Co 2013
WE 1: IT Professional since 2006

Re: Awkward DS....
[#permalink]
Show Tags
27 Nov 2010, 20:39
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
Joined: 08 Jun 2010
Posts: 123

Re: Awkward DS....
[#permalink]
Show Tags
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: 442
Concentration: Marketing, Finance
GPA: 3.23

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
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
_________________
Impossible is nothing to God.



Math Expert
Joined: 02 Sep 2009
Posts: 47221

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
01 Feb 2014, 04:28



Manager
Joined: 23 Jan 2013
Posts: 164
Concentration: Technology, Other
GMAT Date: 01142015
WE: Information Technology (Computer Software)

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
11 Sep 2014, 19:11
Can somebody explain to me why statement B //k + 2.3// = 7 become this 8 > k + 2.3 >= 7 ? I am confused ...



Math Expert
Joined: 02 Sep 2009
Posts: 47221

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
12 Sep 2014, 04:51



Manager
Joined: 17 Jun 2015
Posts: 239
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
19 Dec 2015, 06:54
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



Intern
Joined: 26 Feb 2016
Posts: 12

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
25 Apr 2016, 04:54
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: howxbecomefractionifitsbeensaidaninteger94687.htmlHope it helps. 7 < k + 2.3 < 8 I'm confuse how they got this



Math Expert
Joined: 02 Sep 2009
Posts: 47221

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
25 Apr 2016, 05:02
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: howxbecomefractionifitsbeensaidaninteger94687.htmlHope 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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 11 Aug 2014
Posts: 10
Location: United States
Concentration: International Business, Entrepreneurship
GPA: 3.9

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
16 May 2016, 22:50
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



Math Expert
Joined: 02 Aug 2009
Posts: 6301

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
16 May 2016, 23:08
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..
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Senior Manager
Joined: 15 Jan 2017
Posts: 365

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
07 Aug 2017, 10:21
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



Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 211
Location: India
Concentration: Finance, International Business

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
07 Nov 2017, 00:35
i have difficulty understanding statement 2 . Can someone please explain the same.



Math Expert
Joined: 02 Sep 2009
Posts: 47221

Re: For all numbers t, let //t// be defined as the greatest
[#permalink]
Show Tags
07 Nov 2017, 00:39




Re: For all numbers t, let //t// be defined as the greatest &nbs
[#permalink]
07 Nov 2017, 00:39






