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

It is currently 22 Oct 2018, 14:57

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

X and Y are both positive integers whose combined factors include 3 an

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

Hide Tags

SVP
SVP
User avatar
V
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1738
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post Updated on: 21 Oct 2018, 08:52
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (01:22) correct 34% (01:15) wrong based on 131 sessions

HideShow timer Statistics

X and Y are both positive integers whose combined factors include 3 and 7. Is the sum X + Y + 1 an odd integer?

(1) Both X and Y are divisible by 2

(2) X + 2 = Y

Source: Platinum GMAT
Difficulty Level: Hard

_________________

Official PS Practice Questions
Press +1 Kudos if this post is helpful


Originally posted by SajjadAhmad on 09 Feb 2017, 01:18.
Last edited by SajjadAhmad on 21 Oct 2018, 08:52, edited 2 times in total.
Senior Manager
Senior Manager
User avatar
G
Joined: 03 Apr 2013
Posts: 280
Location: India
Concentration: Marketing, Finance
GMAT 1: 740 Q50 V41
GPA: 3
GMAT ToolKit User
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 11 Mar 2017, 00:42
SajjadAhmad wrote:
Source: platinum GMAT

X and Y are both positive integers whose combined factors include 3 and 7. Is the sum X + Y + 1 an odd integer?

(1) Both X and Y are divisible by 2
(2) X + 2 = Y


What do you mean by combined factors? please elaborate
_________________

Spread some love..Like = +1 Kudos :)

SVP
SVP
User avatar
V
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1738
Location: Pakistan
GPA: 3.39
Premium Member CAT Tests
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 12 Mar 2017, 12:47
ShashankDave wrote:
SajjadAhmad wrote:
Source: platinum GMAT

X and Y are both positive integers whose combined factors include 3 and 7. Is the sum X + Y + 1 an odd integer?

(1) Both X and Y are divisible by 2
(2) X + 2 = Y


What do you mean by combined factors? please elaborate



Factors are numbers we can multiply together to get another number:
Like 2 and 3 both are combined factor of 6
3 and 4 are combines factor of 12
3 and 5 are combined factor of 15
_________________

Official PS Practice Questions
Press +1 Kudos if this post is helpful

Intern
Intern
avatar
S
Joined: 10 Jun 2016
Posts: 49
Schools: IIM-A"19
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 16 Mar 2017, 17:08
1
Infer : X+Y+1 = Odd means X+Y = Odd - 1 = Even. Means we have to prove either
X, Y are Even or both are odd. In simple words find the parity of X & Y

S-1) Both X and Y are even. Sufficient to prove X+Y+1 odd

S-2) X+2 = Y means X-Y = Even. So either both X,Y are even or odd. Sufficient to prove X+Y is even and X+Y+1 is odd

Answer is D.
_________________

Thank You Very Much,
CoolKl
Success is the Journey from Knowing to Doing

A Kudo is a gesture, to express the effort helped. Thanks for your Kudos.

Intern
Intern
avatar
B
Joined: 26 Mar 2017
Posts: 28
GMAT 1: 720 Q50 V38
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 27 Apr 2017, 14:37
SajjadAhmad wrote:
Source: platinum GMAT

X and Y are both positive integers whose combined factors include 3 and 7. Is the sum X + Y + 1 an odd integer?

(1) Both X and Y are divisible by 2
(2) X + 2 = Y

Is the question (statement-2) correct?
Since 3 and 7 are combined factors of both X and Y, both of these numbers are multiples of 21.
Then X=21p and Y=21q. Using statement-2, 21p+2 = 21q, this is not possible for any integer p and q.
Manager
Manager
avatar
S
Joined: 17 Apr 2016
Posts: 89
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 27 Apr 2017, 19:03
1
shakun wrote:
SajjadAhmad wrote:
Source: platinum GMAT

X and Y are both positive integers whose combined factors include 3 and 7. Is the sum X + Y + 1 an odd integer?

(1) Both X and Y are divisible by 2
(2) X + 2 = Y

Is the question (statement-2) correct?
Since 3 and 7 are combined factors of both X and Y, both of these numbers are multiples of 21.
Then X=21p and Y=21q. Using statement-2, 21p+2 = 21q, this is not possible for any integer p and q.


The Statement that X and Y are positive integers whose combined factors include 3 and 7 was not useful to solve this question.I could confidently choose D without considering that statement. Seems like the question is incomplete.
Manager
Manager
User avatar
S
Joined: 13 Feb 2018
Posts: 135
CAT Tests
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 29 Mar 2018, 13:00
adityapareshshah wrote:
shakun wrote:
SajjadAhmad wrote:
Source: platinum GMAT

X and Y are both positive integers whose combined factors include 3 and 7. Is the sum X + Y + 1 an odd integer?

(1) Both X and Y are divisible by 2
(2) X + 2 = Y

Is the question (statement-2) correct?
Since 3 and 7 are combined factors of both X and Y, both of these numbers are multiples of 21.
Then X=21p and Y=21q. Using statement-2, 21p+2 = 21q, this is not possible for any integer p and q.


The Statement that X and Y are positive integers whose combined factors include 3 and 7 was not useful to solve this question.I could confidently choose D without considering that statement. Seems like the question is incomplete.



Seems like it's a trap to waste precious time, otherwise from stem X+Y+1 and 2) stat- X+2=Y. we can arrive to X+X+2+1 is odd or not? It doesn't matter the even/odd nature of X, the answer is Yes it's odd in any case
Manager
Manager
avatar
S
Joined: 30 Mar 2017
Posts: 136
GMAT 1: 200 Q1 V1
Reviews Badge
Re: X and Y are both positive integers whose combined factors include 3 an  [#permalink]

Show Tags

New post 09 Jun 2018, 06:44
Is the sum X + Y + 1 an odd integer?
Equivalently, is the sum of X + Y an even integer?
This will be true if both X and Y are odd or if both X and Y are even.

Statement 1
Both X and Y are even.
Sufficient

Statement 2
Y = X + 2
Since we need to find if X + Y is even, the question becomes is X + (X + 2) even?
Simplified, is 2X + 2 even. Yes, it's even.
Sufficient

Answer: D
GMAT Club Bot
Re: X and Y are both positive integers whose combined factors include 3 an &nbs [#permalink] 09 Jun 2018, 06:44
Display posts from previous: Sort by

X and Y are both positive integers whose combined factors include 3 an

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.