GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 28 May 2020, 16:17 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # List A consists of five distinct integers. Is the range of the numbers

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 64216
List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

10 00:00

Difficulty:   85% (hard)

Question Stats: 44% (01:59) correct 56% (01:47) wrong based on 163 sessions

### HideShow timer Statistics

Fresh GMAT Club Challenge Question

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

_________________
GMAT Club Legend  V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4000
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

Bunuel wrote:

Fresh GMAT Club Challenge Question

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Question : Is the range of the numbers in list A greater than 8?

Statement 1: List A does not contain a multiple of 5.
Sets A could be {1, 2, 3, 4 ,6} range = 5 <8
Sets A could be {1, 2, 3, 4 ,11} range = 10 >8
NOT SUFFICIENT

Statement 2: No two numbers in list A are consecutive.
Sets A could be {1, 3, 5, 7 ,9} range = 8 =8 Answer to Question is NO
Sets A could be {1, 3, 5, 7 ,11} range = 10 >8 Answer to Question is YES
NOT SUFFICIENT

Combining statements
The closest elements of Sets A could be {1, 3, 7, 9, 11} range = 10 >8 Answer to Question is YES

SUFFICIENT

_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes l Classroom Coaching l On-demand Quant course
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
Manager  B
Joined: 03 Nov 2017
Posts: 55
Location: India
GMAT 1: 650 Q47 V33
GPA: 3
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

IMO E.

Statement 1 : Can')t be a multiple of 5, and has to be 5 distinct integers, no sure way to know if the range is going to be more than 8.

Statement 2 : No consecutive numbers, still no idea.

1+2 : Still not clear, so its E.

GMAT insight - want to know how you arrived at your answer? I think there is something wrong in mine.
Intern  B
Joined: 08 Feb 2015
Posts: 20
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

C. As it cannot be multiple of 5 and no 2 consecutive numbers. So example will be 1 3 6 8 11.
SVP  D
Joined: 24 Nov 2016
Posts: 1563
Location: United States
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

GMATinsight wrote:
Bunuel wrote:

Fresh GMAT Club Challenge Question

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Question : Is the range of the numbers in list A greater than 8?

Statement 1: List A does not contain a multiple of 5.
Sets A could be {1, 2, 3, 4 ,6} range = 5 <8
Sets A could be {1, 2, 3, 4 ,11} range = 10 >8
NOT SUFFICIENT

Statement 2: No two numbers in list A are consecutive.
Sets A could be {1, 3, 5, 7 ,9} range = 8 =8 Answer to Question is NO
Sets A could be {1, 3, 5, 7 ,11} range = 10 >8 Answer to Question is YES
NOT SUFFICIENT

Combining statements
The closest elements of Sets A could be {1, 3, 7, 9, 11} range = 10 >8 Answer to Question is YES

SUFFICIENT

Does distinct integers mean they are positive integers?
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1124
Location: India
GPA: 3.82
List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

2
Bunuel wrote:

Fresh GMAT Club Challenge Question

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Statement 1: {2,4,6,8,11} $$range=9>8$$

{1,2,3,4,6} $$range=5<8$$. Insufficient

Statement 2: {2,4,6,8,11} $$range=9>8$$

{-2,0,2,4,6} $$range=8$$ hence not greater than 8. Insufficient

Combining 1 & 2 we know that none of the number are consecutive so the minimum difference between any two numbers will be $$2$$. So moving from the least to the maximum value, the minimum difference will be $$2+2+2+2=8$$

We also know that none of the number can be multiple of $$5$$, so $$5$$ and a number prior and/or after it will also be excluded. This will further increase the difference by at least $$1$$ (depending upon the elements) e.g (1,3,7,9,11) or {-7,-4,-2,1,3}

Hence the minimum range will be $$8+1=9$$. Sufficient

Option C

Originally posted by niks18 on 03 Dec 2017, 09:24.
Last edited by niks18 on 04 Dec 2017, 10:07, edited 1 time in total.
Retired Moderator P
Joined: 21 Aug 2013
Posts: 1359
Location: India
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

exc4libur wrote:
GMATinsight wrote:
Bunuel wrote:

Fresh GMAT Club Challenge Question

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Question : Is the range of the numbers in list A greater than 8?

Statement 1: List A does not contain a multiple of 5.
Sets A could be {1, 2, 3, 4 ,6} range = 5 <8
Sets A could be {1, 2, 3, 4 ,11} range = 10 >8
NOT SUFFICIENT

Statement 2: No two numbers in list A are consecutive.
Sets A could be {1, 3, 5, 7 ,9} range = 8 =8 Answer to Question is NO
Sets A could be {1, 3, 5, 7 ,11} range = 10 >8 Answer to Question is YES
NOT SUFFICIENT

Combining statements
The closest elements of Sets A could be {1, 3, 7, 9, 11} range = 10 >8 Answer to Question is YES

SUFFICIENT

Does distinct integers mean they are positive integers?

Hi
No, it doesnt mean that the integers have to be positive. They could be 0 or negative as well.
Retired Moderator P
Joined: 21 Aug 2013
Posts: 1359
Location: India
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

IMO E.

Statement 1 : Can')t be a multiple of 5, and has to be 5 distinct integers, no sure way to know if the range is going to be more than 8.

Statement 2 : No consecutive numbers, still no idea.

1+2 : Still not clear, so its E.

GMAT insight - want to know how you arrived at your answer? I think there is something wrong in mine.

Hi

You are right, each statement alone is not sufficient. But when you combine the two statements, you see that they have to be distinct integers, and no two integers should be consecutive. So if you arrange all five distinct integers in ascending order (smallest to largest), the least difference between any two consecutive terms should be 2. Lets try to make such a set: I will start with least integer as 1, then next integer will have a minimum value of 3 (because they cannot be consecutive), now next integer can take a minimum value of 5, but since multiples of 5 are not allowed, next minimum value will be 6, next minimum value 8, and next 11. So we have:

1, 3, 6, 8, 11.. as you can see range is (11-1) = 10, which is > 8 .

Now if you start with 2, next number will take minimum value of 4, then 6, then 8, then 11 (since 10 is not allowed)
So 2, 4, 6, 8, 11.. here range is 11-2 = 9, which is again > 8.

In any case no matter which smallest integer you start with, range will always be greater than 8, if you go by data of both statements.
SVP  D
Joined: 24 Nov 2016
Posts: 1563
Location: United States
List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

amanvermagmat wrote:

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Does distinct integers mean they are positive integers?

Hi
No, it doesnt mean that the integers have to be positive. They could be 0 or negative as well.

Ok so if the integers can be positive negative or 0 then:
(1) No multiples of 5. Sets can be {-22,-21,-18,-16,-14} and range = last - first = -14 - (-22) = 8, which is not greater than 8. Or, {-11,-9,1,7,9} and range = 9 - (-11) = 20 > 8; not suf.
(2) No two numbers are consecutive. Sets can be {-22,-20,-18,-16,-14} range = 8. Or, {-11,-9,0,7,9} range = 20 > 8; not suf.
(3) Set can be {-3,-1,2,4,6} and the range = 6 - (-3) = 9 > 8. Or, {-11,-9,1,7,9} range = 20 > 8; sufficient.

Originally posted by exc4libur on 04 Dec 2017, 04:23.
Last edited by exc4libur on 04 Dec 2017, 05:49, edited 1 time in total.
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1124
Location: India
GPA: 3.82
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

1
exc4libur wrote:
amanvermagmat wrote:

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Does distinct integers mean they are positive integers?

Hi
No, it doesnt mean that the integers have to be positive. They could be 0 or negative as well.

Ok so if the integers can be positive negative or 0 then:
(1) No multiples of 5. Sets can be {-22,-21,-18,-16,-14} and range = last - first = -14 - (-22) = 8, which is not greater than 8. Or, {-11,-9,0,7,9} and range = 9 - (-11) = 20 > 8; not suf.
(2) No two numbers are consecutive. Sets can be {-22,-20,-18,-16,-14} range = 8. Or, {-11,-9,0,7,9} range = 20 > 8; not suf.
(3) Set can be {-2,0,2,4,6} and the range = 6 - (-2) = 8 not greater than 8. Or, {-11,-9,0,7,9} range = 20 > 8; not suf.

Im still not sure if my working is correct. If anyone can confirm that would be great thanks.

Hi exc4libur

0 is multiple of every number 0/5=0. So remove 0 from the set and then try to find out the range. See if it's greater or less than 8 SVP  D
Joined: 24 Nov 2016
Posts: 1563
Location: United States
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

niks18 wrote:
exc4libur wrote:
amanvermagmat wrote:

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

Does distinct integers mean they are positive integers?

Hi
No, it doesnt mean that the integers have to be positive. They could be 0 or negative as well.

Ok so if the integers can be positive negative or 0 then:
(1) No multiples of 5. Sets can be {-22,-21,-18,-16,-14} and range = last - first = -14 - (-22) = 8, which is not greater than 8. Or, {-11,-9,0,7,9} and range = 9 - (-11) = 20 > 8; not suf.
(2) No two numbers are consecutive. Sets can be {-22,-20,-18,-16,-14} range = 8. Or, {-11,-9,0,7,9} range = 20 > 8; not suf.
(3) Set can be {-2,0,2,4,6} and the range = 6 - (-2) = 8 not greater than 8. Or, {-11,-9,0,7,9} range = 20 > 8; not suf.

Im still not sure if my working is correct. If anyone can confirm that would be great thanks.

Hi exc4libur

0 is multiple of every number 0/5=0. So remove 0 from the set and then try to find out the range. See if it's greater or less than 8 Thank you I'll make the changes. Awesome Math Expert V
Joined: 02 Sep 2009
Posts: 64216
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

Bunuel wrote:

Fresh GMAT Club Challenge Question

List A consists of five distinct integers. Is the range of the numbers in list A greater than 8?

(1) List A does not contain a multiple of 5.
(2) No two numbers in list A are consecutive.

_________________
Non-Human User Joined: 09 Sep 2013
Posts: 15010
Re: List A consists of five distinct integers. Is the range of the numbers  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: List A consists of five distinct integers. Is the range of the numbers   [#permalink] 06 Jan 2020, 08:11

# List A consists of five distinct integers. Is the range of the numbers  