It is currently 13 Dec 2017, 05:24

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42579

Kudos [?]: 135467 [0], given: 12695

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

Show Tags

New post 03 Dec 2017, 00:56
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

39% (01:17) correct 61% (01:30) wrong based on 38 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.
[Reveal] Spoiler: OA

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135467 [0], given: 12695

Expert Post
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1857

Kudos [?]: 2400 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 01:38
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

Answer: option C
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2400 [0], given: 51

Intern
Intern
avatar
B
Joined: 03 Nov 2017
Posts: 6

Kudos [?]: 0 [0], given: 1

GMAT ToolKit User CAT Tests
Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 02:32
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.

Kudos [?]: 0 [0], given: 1

Intern
Intern
avatar
B
Joined: 08 Feb 2015
Posts: 28

Kudos [?]: 1 [0], given: 244

Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 05:46
C. As it cannot be multiple of 5 and no 2 consecutive numbers. So example will be 1 3 6 8 11.

Kudos [?]: 1 [0], given: 244

Intern
Intern
avatar
B
Joined: 24 Nov 2016
Posts: 43

Kudos [?]: 3 [0], given: 21

Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 08:51
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

Answer: option C


Does distinct integers mean they are positive integers?

Kudos [?]: 3 [0], given: 21

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 619

Kudos [?]: 306 [0], given: 39

Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 09:24
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

Last edited by niks18 on 04 Dec 2017, 10:07, edited 1 time in total.

Kudos [?]: 306 [0], given: 39

DS Forum Moderator
avatar
S
Joined: 21 Aug 2013
Posts: 557

Kudos [?]: 183 [0], given: 284

Location: India
Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 22:57
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

Answer: option C


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.

Kudos [?]: 183 [0], given: 284

DS Forum Moderator
avatar
S
Joined: 21 Aug 2013
Posts: 557

Kudos [?]: 183 [0], given: 284

Location: India
Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 03 Dec 2017, 23:04
adityan92 wrote:
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.

Kudos [?]: 183 [0], given: 284

Intern
Intern
avatar
B
Joined: 24 Nov 2016
Posts: 43

Kudos [?]: 3 [0], given: 21

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

Show Tags

New post 04 Dec 2017, 04:23
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.
(C) is the answer.

Last edited by exc4libur on 04 Dec 2017, 05:49, edited 1 time in total.

Kudos [?]: 3 [0], given: 21

1 KUDOS received
Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 619

Kudos [?]: 306 [1], given: 39

Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 04 Dec 2017, 04:29
1
This post received
KUDOS
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.
(E) is the answer.

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 :-)

Kudos [?]: 306 [1], given: 39

Intern
Intern
avatar
B
Joined: 24 Nov 2016
Posts: 43

Kudos [?]: 3 [0], given: 21

Re: List A consists of five distinct integers. Is the range of the numbers [#permalink]

Show Tags

New post 04 Dec 2017, 05:41
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.
(E) is the answer.

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 :)

Kudos [?]: 3 [0], given: 21

Re: List A consists of five distinct integers. Is the range of the numbers   [#permalink] 04 Dec 2017, 05:41
Display posts from previous: Sort by

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

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.