It is currently 15 Dec 2017, 15:31

Decision(s) Day!:

CHAT Rooms | Olin (St. Louis) R1 | Tuck R1 | Ross R1 | Fuqua R1

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

Hide Tags

Manager
Joined: 26 Apr 2010
Posts: 113

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

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

Show Tags

26 Nov 2010, 14:03
2
KUDOS
27
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

54% (01:30) correct 46% (01:16) wrong based on 719 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

Manager
Joined: 02 Apr 2010
Posts: 102

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

Show Tags

26 Nov 2010, 14:15
2
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

Manager
Joined: 26 Apr 2010
Posts: 113

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

Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)

Show Tags

26 Nov 2010, 14:26
5
KUDOS
2
This post was
BOOKMARKED

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
Joined: 26 Apr 2010
Posts: 113

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

Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)

Show Tags

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

Math Expert
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135758 [0], given: 12708

Show Tags

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.
_________________

Kudos [?]: 135758 [0], given: 12708

Manager
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)

Show Tags

27 Nov 2010, 07:59
hmmmmmm...........

much clear now....thanks!!
_________________

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
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

Show Tags

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.

_________________

Respect,
Vaibhav

PS: Correct me if I am wrong.

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

Manager
Joined: 08 Jun 2010
Posts: 158

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

Show Tags

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
Joined: 13 Aug 2012
Posts: 457

Kudos [?]: 570 [0], given: 11

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

Show Tags

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.

_________________

Impossible is nothing to God.

Kudos [?]: 570 [0], given: 11

Math Expert
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135758 [1], given: 12708

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

Show Tags

01 Feb 2014, 03:28
1
KUDOS
Expert's post
2
This post was
BOOKMARKED

Kudos [?]: 135758 [1], given: 12708

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

Show Tags

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

Math Expert
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135758 [0], given: 12708

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

Show Tags

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.
_________________

Kudos [?]: 135758 [0], given: 12708

Senior Manager
Joined: 17 Jun 2015
Posts: 259

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

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, 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
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

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

Math Expert
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135758 [0], given: 12708

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

Show Tags

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.
_________________

Kudos [?]: 135758 [0], given: 12708

Intern
Joined: 11 Aug 2014
Posts: 10

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

Location: United States
Schools: HBS '18
GPA: 3.9
Re: For all numbers t, let //t// be defined as the greatest [#permalink]

Show Tags

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

Math Expert
Joined: 02 Aug 2009
Posts: 5353

Kudos [?]: 6139 [1], given: 121

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

Show Tags

16 May 2016, 22:08
1
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 [?]: 6139 [1], given: 121

Senior Manager
Joined: 15 Jan 2017
Posts: 343

Kudos [?]: 5 [0], given: 775

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

Show Tags

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: 775

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

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

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

Show Tags

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

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

Math Expert
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135758 [0], given: 12708

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

Show Tags

06 Nov 2017, 23:39
longhaul123 wrote:
i have difficulty understanding statement 2 . Can someone please explain the same.

Check here: https://gmatclub.com/forum/for-all-numb ... l#p1408596
_________________

Kudos [?]: 135758 [0], given: 12708

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