February 24, 2019 February 24, 2019 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. February 23, 2019 February 23, 2019 07:00 AM PST 09:00 AM PST Learn reading strategies that can help even nonvoracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
Author 
Message 
TAGS:

Hide Tags

Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1207
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 09:39
Question Stats:
24% (01:33) correct 76% (00:56) wrong based on 43 sessions
HideShow timer Statistics
Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. 2) The difference by any 2 integers in Set A is a multiple of 4. Weekly Quant Quiz #4 Ques 9
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Win GMAT CLUB Test Weekly Quant Quiz Contest Weekly Quant Quiz Questions Direct Download SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS




Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1207
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 20:21
Official Solution: Statement1: It states that infinite integers in Set A are even, but there may be a few odd integers. So we cannot be sure that all integers are even. NOT SUFFICIENT. Statement2:It states that difference between any 2 integers in the set is multiple of 4 which is even. It is only possible if all the integers are either even or odd. NOT SUFFICIENT.Combining Statement 1 & 2 , we get that infinite integers are even and we have either only even or only odd integers in the Set. So all the integers are EVEN. SUFFICIENT.Answer Cgmatbusters wrote: Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. 2) The difference by any 2 integers in Set A is a multiple of 4. Weekly Quant Quiz #4 Ques 9
_________________
Win GMAT CLUB Test Weekly Quant Quiz Contest Weekly Quant Quiz Questions Direct Download SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS




Director
Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 09:45
From statement 1: All integers in set A is divisible by 2. Set A may contain 0,2,4,6.. All are divisible by 2 and all are even. 1 is sufficient. From statement 2: The difference by any 2 integers in Set A is 4. So set A may contain 1,5,9,13.... or 0,4,8,12.... Set A could be even or odd. Hence 2 is insufficient. A is the answer.
_________________
Press +1 Kudo If my post helps!



SVP
Joined: 18 Aug 2017
Posts: 1928
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 09:50
Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. 2) The difference by any 2 integers in Set A is 4. A
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.



Senior PS Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 722

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 09:54
Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. 2) The difference by any 2 integers in Set A is 4. SOlution : I feel option (E) is correct but statement 2 is kind of contradictory. Please look into it. Are all integers of SET A even? Set A has an infinite number of integers. St 1. Not sufficient. Consider the set of all natural numbers ( positive integers ) the set is infinite and all even numbers ( an infinite # of them) are divisible by two but not all the numbers in the set are even. St 2. Difference between any 2 integers in Set A is 4. Which is a contradiction as if there are any two integers say 1 and 5 whose difference is 4, then we could choose two 1's or two 5's and the difference between them would be 0. Hence there have to be exactly two integers in the set ( again either even or odd for ex. 0,4 OR 1,5) with difference of 4. Not sufficient. Hence Option (E) is correct! Regards, Gladi
_________________
Regards, Gladi
“Do. Or do not. There is no try.”  Yoda (The Empire Strikes Back)



Manager
Joined: 05 Jul 2018
Posts: 56
Location: India
Concentration: General Management, Technology
GPA: 3.6
WE: Information Technology (Consulting)

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 10:03
Answer is A as statement 1 alone is sufficient to confirm that All set numbers are even. Statement 2 is not sufficient as even 1 and 5 can have a difference of 4, bu that does not make them even.
_________________
Appreciate any KUDOS given ! MY MBA RESOURCES:



Manager
Joined: 18 Jan 2018
Posts: 68
GPA: 3.87

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 10:22
Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. ==> Sufficient divisible by 2 means even 2) The difference by any 2 integers in Set A is a multiple of 4.> Insufficient ==> as 5535= 20 ,which is divisible by 4 , but 35 and 55 are not even
So OA is A



RC Moderator
Joined: 24 Aug 2016
Posts: 684
Location: Canada
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28 GMAT 2: 540 Q49 V16

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 10:25
1) Infinite integers in set A are divisible by 2...... Suff.... as all div by 2, all are even 2) The difference by any 2 integers in Set A is a multiple of 4....................NS ..... as the integers could be an arithmetic series of odd numbers with common difference of 4 ( 1,5,9,13......) or could be an arithmetic series of odd numbers with common difference of 4 ( 2,6,10,14......) Thus ans A
_________________
Please let me know if I am going in wrong direction. Thanks in appreciation.



Director
Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 21:09
gmatbusters wrote: Official Solution: Statement1: It states that infinite integers in Set A are even, but there may be a few odd integers. So we cannot be sure that all integers are even. NOT SUFFICIENT. Statement2:It states that difference between any 2 integers in the set is multiple of 4 which is even. It is only possible if all the integers are either even or odd. NOT SUFFICIENT.Combining Statement 1 & 2 , we get that infinite integers are even and we have either only even or only odd integers in the Set. So all the integers are EVEN. SUFFICIENT.Answer Cgmatbusters wrote: Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. 2) The difference by any 2 integers in Set A is a multiple of 4. Weekly Quant Quiz #4 Ques 9 gmatbusters. How can Set A contain few Odd integers when S1 clearly states that Set A is divisible by 2? Can you explain
_________________
Press +1 Kudo If my post helps!



Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1207
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 21:14
Hi St1: says that infinite no of element are even, NOT ALL elements are even. For example, The set of of positive integers has infinite no of EVEN integers and it also has infinite number of ODD integers also.Hope it is clear. Feel free to tag me again Afc0892 wrote: gmatbusters wrote: Official Solution: Statement1: It states that infinite integers in Set A are even, but there may be a few odd integers. So we cannot be sure that all integers are even. NOT SUFFICIENT. Statement2:It states that difference between any 2 integers in the set is multiple of 4 which is even. It is only possible if all the integers are either even or odd. NOT SUFFICIENT.Combining Statement 1 & 2 , we get that infinite integers are even and we have either only even or only odd integers in the Set. So all the integers are EVEN. SUFFICIENT.Answer Cgmatbusters wrote: Set A contains infinite number of integers. Are all the integers in Set A even? 1) Infinite integers in set A are divisible by 2. 2) The difference by any 2 integers in Set A is a multiple of 4. Weekly Quant Quiz #4 Ques 9 gmatbusters. How can Set A contain few Odd integers when S1 clearly states that Set A is divisible by 2? Can you explain
_________________
Win GMAT CLUB Test Weekly Quant Quiz Contest Weekly Quant Quiz Questions Direct Download SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS



Director
Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)

Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
Show Tags
13 Oct 2018, 21:18
gmatbusters wrote: Hi St1: says that infinite no of element are even, NOT ALL elements are even. For example, The set of of positive integers has infinite no of EVEN integers and it also has infinite number of ODD integers also. Hope it is clear. Feel free to tag me again
Understood. Thank you sir.
_________________
Press +1 Kudo If my post helps!




Re: Set A contains infinite number of integers. Are all the integers in Se
[#permalink]
13 Oct 2018, 21:18






