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

 It is currently 16 Dec 2018, 11:54

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 16, 2018

December 16, 2018

03:00 PM EST

04:00 PM EST

Strategies and techniques for approaching featured GMAT topics
• ### FREE Quant Workshop by e-GMAT!

December 16, 2018

December 16, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# How many even integers lie between numbers N1 and N2? (1) N2 = 15 +

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

13 Jul 2018, 10:09
2
00:00

Difficulty:

45% (medium)

Question Stats:

35% (00:32) correct 65% (00:56) wrong based on 26 sessions

### HideShow timer Statistics

How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)
RC Moderator
Joined: 24 Aug 2016
Posts: 576
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

13 Jul 2018, 11:56
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Statement 1 ==> N2-N1=15, when N1=1 & N2=16 #even integers= 7
Case 01 : when N1=1 & N2=16 #even integers= 7
Case 02 : when N1=0 & N2=15 #even integers= 7
Case 03 : when N1=-1 & N2=14 #even integers= 6 ( as 0 is neither even nor odd integer)....................Thus not Sufficient

Statement 2 ==> N1 is negative while N2 is positive. ........................................Not Sufficient as there could be any number of even integers 0 to infinite .... depending on the values of N1 & N2

But Statement 1 & 2 ...... Clearly limits the set. there will be always 6 even integers ( refer cases of statement 1)..... Thus Sufficient..... Hence I would go for option C.
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

13 Jul 2018, 12:04
1
u1983 wrote:
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Statement 1 ==> N2-N1=15, when N1=1 & N2=16 #even integers= 7
Case 01 : when N1=1 & N2=16 #even integers= 7
Case 02 : when N1=0 & N2=15 #even integers= 7
Case 03 : when N1=-1 & N2=14 #even integers= 6 ( as 0 is neither even nor odd integer)....................Thus not Sufficient

Statement 2 ==> N1 is negative while N2 is positive. ........................................Not Sufficient as there could be any number of even integers 0 to infinite .... depending on the values of N1 & N2

But Statement 1 & 2 ...... Clearly limits the set. there will be always 6 even integers ( refer cases of statement 1)..... Thus Sufficient..... Hence I would go for option C.

Hi u1983,
In GMAT, Zero is even. You may go through the below thread for more clarity.
https://gmatclub.com/forum/is-zero-even-84800.html

As per OG:
Any integer that is divisible by 2 is an even integer; the set of even integers is
{. . . −4, −2, 0, 2, 4, 6, 8, . . .}
. Integers that are not divisible by 2 are odd integers;
{. . . −3, −1, 1, 3, 5, . . .} is the set of odd integers.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Joined: 13 Feb 2018
Posts: 135
Re: How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

13 Jul 2018, 12:08
u1983 wrote:
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Statement 1 ==> N2-N1=15, when N1=1 & N2=16 #even integers= 7
Case 01 : when N1=1 & N2=16 #even integers= 7
Case 02 : when N1=0 & N2=15 #even integers= 7
Case 03 : when N1=-1 & N2=14 #even integers= 6 ( as 0 is neither even nor odd integer)....................Thus not Sufficient

Statement 2 ==> N1 is negative while N2 is positive. ........................................Not Sufficient as there could be any number of even integers 0 to infinite .... depending on the values of N1 & N2

But Statement 1 & 2 ...... Clearly limits the set. there will be always 6 even integers ( refer cases of statement 1)..... Thus Sufficient..... Hence I would go for option C.

You have to brush up the concept:
Even is an integer which is evenly divisible by 2, 0 is evenly divisible by 2, thus 0 is an even integer but the only one which doesn't have +- nature

As for me I would vote for answer A
SVP
Joined: 26 Mar 2013
Posts: 1918
How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

13 Jul 2018, 12:36
1
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Hi amanvermagmat

It seems you either want to compete with Bunuel or join GMAC team

It is really good question as always.

The question is full of traps.

1- Because the question ask for even Integers, N1 & N2 are not mandatory to be integers.
2- The question does not mention 'inclusive'. I do not know if it a mistake or not but if N1 or N2 is integers, I will not take them into consideration.

(2) N1 is negative while N2 is positive.

Clearly no numbers to use.

Insufficient

(1) N2 = 15 + N1

Let N1= -2 then N2=13 ......N1 & N2 are not inclusive .......So Even integers (0, 2, 4, 6, 8, 10, 12).........7 integers

Let N1= -2.5 then N2=12.5 ......N1 & N2 are not inclusive .......So Even integers (-2, 0, 2, 4, 6, 8, 10, 12).........8 integers

Insufficient

Combine 1 & 2

Use same examples.............No clear answer

Insufficient

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

13 Jul 2018, 21:49
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Question stem:-No even integers between the numbers N1 & N2=?

Given:- N1 & N2 are numbers.

St1:- N2 = 15 + N1
Or, N2-N1=15
Or, On the number line, the distance between N2 and N1 is 15.

No of even integers between N1 and N2 is 7, when N1 and N2 are integers.
No of even integers between N1 and N2 is 8, when N1 and N2 are not integers. (In case of decimals)

hence, insufficient.

St2:- N1 is negative while N2 is positive
There are numerous possibilities of even integers between N1 and N2.
Hence, insufficient.

Combining, there is no better taste, no added info.

So, insufficient.

Ans. (E)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

RC Moderator
Joined: 24 Aug 2016
Posts: 576
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

14 Jul 2018, 06:32
PKN wrote:
u1983 wrote:
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Statement 1 ==> N2-N1=15, when N1=1 & N2=16 #even integers= 7
Case 01 : when N1=1 & N2=16 #even integers= 7
Case 02 : when N1=0 & N2=15 #even integers= 7
Case 03 : when N1=-1 & N2=14 #even integers= 6 ( as 0 is neither even nor odd integer)....................Thus not Sufficient

Statement 2 ==> N1 is negative while N2 is positive. ........................................Not Sufficient as there could be any number of even integers 0 to infinite .... depending on the values of N1 & N2

But Statement 1 & 2 ...... Clearly limits the set. there will be always 6 even integers ( refer cases of statement 1)..... Thus Sufficient..... Hence I would go for option C.

Hi u1983,
In GMAT, Zero is even. You may go through the below thread for more clarity.
https://gmatclub.com/forum/is-zero-even-84800.html

As per OG:
Any integer that is divisible by 2 is an even integer; the set of even integers is
{. . . −4, −2, 0, 2, 4, 6, 8, . . .}
. Integers that are not divisible by 2 are odd integers;
{. . . −3, −1, 1, 3, 5, . . .} is the set of odd integers.

Thanks PKN....... I will be extra careful from the next time
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

RC Moderator
Joined: 24 Aug 2016
Posts: 576
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: How many even integers lie between numbers N1 and N2? (1) N2 = 15 +  [#permalink]

### Show Tags

14 Jul 2018, 06:35
LevanKhukhunashvili wrote:
u1983 wrote:
amanvermagmat wrote:
How many even integers lie between numbers N1 and N2?

(1) N2 = 15 + N1

(2) N1 is negative while N2 is positive.

(Inspired by a Bunuel Question)

Statement 1 ==> N2-N1=15, when N1=1 & N2=16 #even integers= 7
Case 01 : when N1=1 & N2=16 #even integers= 7
Case 02 : when N1=0 & N2=15 #even integers= 7
Case 03 : when N1=-1 & N2=14 #even integers= 6 ( as 0 is neither even nor odd integer)....................Thus not Sufficient

Statement 2 ==> N1 is negative while N2 is positive. ........................................Not Sufficient as there could be any number of even integers 0 to infinite .... depending on the values of N1 & N2

But Statement 1 & 2 ...... Clearly limits the set. there will be always 6 even integers ( refer cases of statement 1)..... Thus Sufficient..... Hence I would go for option C.

You have to brush up the concept:
Even is an integer which is evenly divisible by 2, 0 is evenly divisible by 2, thus 0 is an even integer but the only one which doesn't have +- nature

As for me I would vote for answer A

That is so true @LevanKhukhunashvili...............I really need to
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Re: How many even integers lie between numbers N1 and N2? (1) N2 = 15 + &nbs [#permalink] 14 Jul 2018, 06:35
Display posts from previous: Sort by

# How many even integers lie between numbers N1 and N2? (1) N2 = 15 +

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.