GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Sep 2018, 17:15

### 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

# Jamboree and GMAT Club Contest: [N] denotes the greatest integer less

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49320
Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

08 Nov 2015, 09:35
3
14
00:00

Difficulty:

65% (hard)

Question Stats:

55% (01:24) correct 45% (01:17) wrong based on 181 sessions

### HideShow timer Statistics

Jamboree and GMAT Club Contest Starts

QUESTION #6:

[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

Check conditions below:

For the following two weekends we'll be publishing 4 FRESH math questions and 4 FRESH verbal questions per weekend.

To participate, you will have to reply with your best answer/solution to the new questions that will be posted on Saturday and Sunday at 9 AM Pacific.
Then a week later, respective forum moderators will be selecting 2 winners who provided most correct answers to the questions, along with best solutions. Those winners will get 6-months access to GMAT Club Tests.

PLUS! Based on the answers and solutions for all the questions published during the project ONE user will be awarded with ONE Grand prize. He/She can opt for one of the following as a Grand Prize. It will be a choice for the winner:
-- GMAT Online Comprehensive (If the student wants an online GMAT preparation course)
-- GMAT Classroom Program (Only if he/she has a Jamboree center nearby and is willing to join the classroom program)

Bookmark this post to come back to this discussion for the question links - there will be 2 on Saturday and 2 on Sunday!

There is only one Grand prize and student can choose out of the above mentioned too options as per the conditions mentioned in blue font.
All announcements and winnings are final and no whining GMAT Club reserves the rights to modify the terms of this offer at any time.

NOTE: Test Prep Experts and Tutors are asked not to participate. We would like to have the members maximize their learning and problem solving process.

Thank you!

_________________
 Jamboree Discount Codes Manhattan GMAT Discount Codes Optimus Prep Discount Codes
Manager
Status: One Last Shot !!!
Joined: 04 May 2014
Posts: 241
Location: India
Concentration: Marketing, Social Entrepreneurship
GMAT 1: 630 Q44 V32
GMAT 2: 680 Q47 V35
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

14 Nov 2015, 06:25
3
[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

S1:
[4N] = 0
=> 4N can range from 0 to 0.9 inclusive.
=> N can range from 0 to $$\frac{0.9}{4}$$ inclusive.
=> 5N can range from 0 to $$\frac{5*0.9}{4}=1.125$$
=> [5N] = 0 or 1
Therefore Insufficient

S2:
[6N] = 0
=> 6N can range from 0 to 0.9 inclusive.
=> N can range from 0 to $$\frac{0.9}{6}$$ inclusive.
=> 5N can range from 0 to $$\frac{5*0.9}{6}=0.15$$
=> [5N] = 0

Therefore, Sufficient

Hence B
_________________

One Kudos for an everlasting piece of knowledge is not a bad deal at all...

------------------------------------------------------------------------------------------------------------------------
Twenty years from now you will be more disappointed by the things you didn't do than by the ones you did do. So throw off the bowlines. Sail away from the safe harbor. Catch the trade winds in your sails. Explore. Dream. Discover.
-Mark Twain

Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2107
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

08 Nov 2015, 10:35
2
is [5N]=0 ?

1. [4N]=0
if N=.1
4N=.4
[4N]
=[.4]=0
5N=.5
[.5]=0

if N=.2
4N=.8
[4N]=0

[5N]=[.2*5]=1
Not sufficient.

2.[6N]=0
Since [6N]=0
=>[5N]=0

Sufficient.

_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

##### General Discussion
Manager
Joined: 10 Apr 2015
Posts: 71
Location: India
Concentration: Healthcare, Strategy
GMAT 1: 680 Q49 V34
GPA: 2.4
WE: Marketing (Health Care)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

08 Nov 2015, 12:25
Hi,

In case of questions such as these, substitution of values can help us arrive at the solution.

Take N = 0.17 --- [4N] = [0.68] = 0, [5N] = [0.85] but when N = 0.22 ---- [4N] = [0.88] = 0, [5N] = [1.10] = Either 1 or 0...Hence Insufficient

St 2: Take N = 0.16 ---- [6N] = [0.96] = 0, [5N] = [0.9] = 0 and when N = 0.17 [6N] = [1.02] = either 0 or 1, [5N] = [0.85] = 0 So values are not consistent.

Taking together also we do not arrive at a common solution.

Eg; N = 0.22 [4N] = [0.88] [5N] = [1.10] [6N] = 1.32
N = 0.15 [4N] = [0.60] [5N] = [0.75] [6N] = 0.90

So the final solution is E
Intern
Joined: 24 Oct 2013
Posts: 30
GMAT 1: 570 Q47 V23
GMAT 2: 620 Q49 V24
GMAT 3: 630 Q47 V29
WE: Operations (Energy and Utilities)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

08 Nov 2015, 12:52
1
Option A - Not sufficient. if N = 0.2 then 4N = 0.8 and [4N] = 0 , but 5N = 1 or [5N] = 1
Option B - Sufficient, if 6N = say < 1 then obviously 5N must be < 1 or [5N] = 0.
Senior Manager
Joined: 27 Jul 2014
Posts: 289
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

08 Nov 2015, 16:25
1
IMO B is correct
I] 4[N]= 0
this is possible when N=0 or 0<N<1
and precisely for 4[N] 0<N<0.25
SO if N =0 .19 then 5[N] = 0 and if N=0.20 then 5[N] = 1.0

So clearly insufficient
II] 6[N]= 0
this is possible when N=0 or 0<N<1
and precisely for 6[N] 0<N<0.166
SO if N be any value between 0 adn 0.166 then 5[N] <1 and then 5[N] = 0.0

So clearly sufficient
Manager
Joined: 11 Sep 2013
Posts: 110
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

09 Nov 2015, 12:21
[4N]=0, N is integer => N=0
Sufficient
[6N] =0, N is integer => N=0
Sufficient

Ans D
SC Moderator
Joined: 13 Apr 2015
Posts: 1703
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

09 Nov 2015, 23:25
1
St1: [4N] = 0
Taking the max value of N = 0.24 --> [4*0.24] = 0 and [5*0.24] = 1
But for N = 0.1 --> [4*0.1] = 0 and [5*0.1] = 0
So St1 alone is not sufficient

St2: [6N] = 0
Taking the max value of N = 0.16 --> [6*0.16] = 0 and [5*0.16] = 0.
St2 is Sufficient as it satisfies the condition for all values of N.

Current Student
Joined: 03 May 2014
Posts: 68
Concentration: Operations, Marketing
GMAT 1: 680 Q48 V34
GMAT 2: 700 Q49 V35
GPA: 3.6
WE: Engineering (Energy and Utilities)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

11 Nov 2015, 00:42
1
N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

[N] denotes greatest integer less than or equal to N--Will try to explain with integer and non-integer value of N
If N is an integer- eg. 1 then [N]=1 only as [N]=N when N is an integer.
If N in non-Integer eg. 1/2 then [N]=0 as [N]<N but the previous integer only.
Now taking statements--->
1) says [4N]=0 that means 4*N is less than 1 but greater than 0. So we get both yes and No in this case. As when N=1/10 then [4N]=[5N]=0, Hence Yes,
but when N=2/10, then [4N]=0 but [5N]=1, hence NO
2) Says [6N]=0 that means 6*N is less than 1 but greater than 0. So we have only YES. whatever positive Non-Integer multiplied by 6 gives [6N]=0 will always give [5N]=0 as 6*N is between 0 and 1 so 5*N will be also between 0 and 1.
_________________

Beat verbal, Beat GMAT...
Trying Hard to do that.....

Kudos if my post helped you

Current Student
Joined: 31 May 2015
Posts: 9
Location: India
GMAT 1: 580 Q50 V19
GMAT 2: 650 Q50 V28
GPA: 3.38
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

11 Nov 2015, 04:27
1
IMO B

A. As $$[4N] = 0$$ , $$0\leq{4N}<1$$ OR $$0\leq{N}< \frac{1}{4}$$.
For $$[5N]$$, with N<$$\frac{1}{4}$$;
Case I : If $$N = \frac{1}{5}$$ then, $$[5N] = 1$$ and
Case II: If $$N > \frac{1}{5}$$ then, $$[5N] = 0$$, Insufficient.

B. As $$[6N] = 0$$ , $$0\leq{6N}< {1}$$ OR $$0\leq{N}<\frac{1}{6}$$.
For $$[5N]$$, with $$N <\frac{1}{6}$$; $$0\leq{5N}<{1}$$.
Thus, $$[5N] = 0$$. Sufficient.
Intern
Joined: 26 Aug 2014
Posts: 46
GMAT 1: 650 Q49 V30
GMAT 2: 650 Q49 V31
WE: Programming (Computer Software)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

11 Nov 2015, 09:15
1
The question asks us if [5N] =0?
This means that either N =0 or 1/5 <= N < 1
Stmt 1: [4N] = 0. So N can be either 0 or <= 1/4.
If N is 0, [5N] =0
If N is 1/4.5 then [5N] = [5/4.5] = [(greater than 1)] = 1. So, not sufficient.

Stmt 2: [6N] = 0. So N can be either 0 or <= 1/6.
If N is 0, [5N] =0
If N is 1/6 or lesser, then [5N] = [5/6] = [(slightly greater than 0)] = 0. So, sufficient.

Ans B.
Intern
Joined: 26 Jan 2014
Posts: 8
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

11 Nov 2015, 09:16
1
is [5N]=0?

potion (1)

[4N]=0
Here N can be 0.1 then [4*0.1]=[0.4] =0

[5*0.1]= [0.5]=0

N can be 0.2 then [4*0.2]=[0.8]=0

[5N]=[5*0.2]=[1]=1

it gives two values, so it is not sufficient

option (2)

[6N]=0
Here we cannot take negative values for N

if N=0.16 then [6*0.16] =[0.96]

[5N]=[5 *0.16] =[0.8]=0

if N=0.2 then [6*0.2]=[1.2]=1 but here condition fails....

if N=0.1 then [6*0.1]=[0.6]=0

[5N]=[5*0.1]=[0.5]=0

so it is sufficient

Retired Moderator
Joined: 18 Sep 2014
Posts: 1148
Location: India
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

11 Nov 2015, 12:06
[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

Any statement indicates the same. Answer. D
_________________

The only time you can lose is when you give up. Try hard and you will suceed.
Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html
When you post a question Pls. Provide its source & TAG your questions
Avoid posting from unreliable sources.

My posts
http://gmatclub.com/forum/beauty-of-coordinate-geometry-213760.html#p1649924
http://gmatclub.com/forum/calling-all-march-april-gmat-takers-who-want-to-cross-213154.html
http://gmatclub.com/forum/possessive-pronouns-200496.html
http://gmatclub.com/forum/double-negatives-206717.html
http://gmatclub.com/forum/the-greatest-integer-function-223595.html#p1721773

Intern
Status: SINGLE
Affiliations: NONE
Joined: 23 Sep 2015
Posts: 6
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

12 Nov 2015, 11:38
Assuming that it is a Data Sufficiency question answer would be B i.e. only II statement is sufficient to answer the question but not statement I because whenever [6N]=0, [5N] would be 0 but not necessarily in case of [4N]=0 for e.g. take N=0.20 then [4N]=0 but [5N]=1.
Intern
Joined: 02 Oct 2012
Posts: 15
Location: India
Concentration: Operations, General Management
GMAT 1: 700 Q51 V32
GPA: 3.6
WE: Operations (Energy and Utilities)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

12 Nov 2015, 14:25
3
Attachments

IMAG0108.jpg [ 2.64 MiB | Viewed 1954 times ]

Current Student
Joined: 14 Jun 2015
Posts: 90
Location: India
GMAT 1: 680 Q46 V37
GMAT 2: 750 Q50 V40
GPA: 3.5
WE: Information Technology (Telecommunications)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

12 Nov 2015, 23:20
1
[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

Need is to find if 0<=5N<1

Stmt 1:
[4N] = 0
This means 0<=4N<1

if 4N=0.72 -> N=0.18 -> 5N=0.9 -> [5N] = 0
if 4N=0.96 -> N=0.24 -> 5N=1.2 -> [5N] = 1

Not Sufficient.

Stmt 2:
[6N] = 0
This means 0<=6N<1

For all values of 6N satisfying above condition-> 0<=N<1
And 5N<=6N (= when N=0)

Hence 0<=5N<=6N<1

Hence 0<=5N<1 -> [5N] =0

Sufficient

Ans: B
Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 339
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

13 Nov 2015, 00:35
1
St 1:
[4N] = 0
4N could be from 0 to 0.99
N could be from 0 to 0.2475
5N could be from 0 to 1.2375
[5N] could be 0 or 1

Not Sufficient

St 2:
[6N] = 0
6N could be from 0 to 0.99
N could be from 0 to 0.1317
5N could be from 0 to 0.6585
[5N] will be 0

Sufficient

Intern
Joined: 05 Jun 2013
Posts: 35
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

13 Nov 2015, 05:41
1
1) [4N] =0
which means 0<=4N<1
0<=N<1/4

Is [5N] =0 ?
Lets substitute highest value for N= 0.24 which is 5 * 0.24 =1.2 =[1.2] =1 which gives No answer
Lets substitute N= 0.1 which is 5*0.1 =0.5 =[0.5] = 0 which gives Yes answer
Statement A is not sufficient.

2) [6N] =0
which means 0<=6N<1 --> 0<=N<1/6
Lets substitute highest possible value for N =0.166 5*01.66 = 0.83 =[0.83] =0
Lets substitute lowest possible value for N = 5 * 0 = 0 = [0] =0
Since all values for N will be between 0 and 1/6 for this statement, this statement B is sufficient.

Intern
Joined: 06 Jul 2014
Posts: 20
WE: Supply Chain Management (Manufacturing)
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

13 Nov 2015, 07:19
1
QUESTION #6:

[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0
Explanation:-
1) [4N] = 0 -> 0<=4N<1 ->0<=N<1/4.Now if N=0.2,[5N] = 1 OR N=0.15,[5N] = 0. Hence insufficient.
2)[6N] = 0 -> 0<=6N<1 ->0<=N<1/6.Now for any value of N [5N] = 0. Hence sufficient.

Intern
Joined: 10 Sep 2012
Posts: 25
GMAT 1: 700 Q49 V35
Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

### Show Tags

13 Nov 2015, 09:21
1
[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

We need to find out whether [5N] = 0. For this, we need to determine the value of N. Let's analyze the given statements:

(1) [4N] = 0
This implies that
0 <= 4N < 1
Dividing by 4, we get
0 <= N < 1/4
Now multiplying by 5, we get
0 <= 5N < 5/4
Let's assume 5N is a tiny bit less than 5/4 (say, 1.24), then the greatest integer less than or equal to 1.24 will be 1.
On the other hand, if we assume 5N to be anything between 0 and 0.9, then the greatest integer less than or equal to it will be 0.

Since we get two contradictory answers, statement (1) alone is not sufficient.

(2) [6N] = 0
This implies that
0 <= 6N < 1
Dividing by 6, we get
0 <= N < 1/6
Now multiplying by 5, we get
0 <= 5N < 5/6
5/6 is less than 1, hence the greatest integer less than or equal to 5/6 will always be 0.
Thus statement (2) alone is sufficient.

Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less &nbs [#permalink] 13 Nov 2015, 09:21

Go to page    1   2    Next  [ 25 posts ]

Display posts from previous: Sort by

# Jamboree and GMAT Club Contest: [N] denotes the greatest integer less

## Events & Promotions

 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®.