NEW HERE? LEARN MORE
closeclose
Last visit was: 05 May 2024, 13:48 It is currently 05 May 2024, 13:48
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If j and k are positive integers and j + k is odd

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
guerrero25
Manager
Manager
Joined: 10 Apr 2012
Posts: 244
Own Kudos [?]: 4438 [7]
Given Kudos: 325
Location: United States
Concentration: Technology, Other
GPA: 2.44
WE:Project Management (Telecommunications)
Send PM
GMAT ToolKit User
If j and k are positive integers and j + k is odd [#permalink] New post   04 Feb 2014, 08:53
7
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

66% (02:16) correct 34% (02:29) wrong based on 253 sessions
Hide Show timer Statistics
If j and k are positive integers and j + k is odd, what is the value of k?

(1) When j is divided by k, the remainder is 3

(2) j > 7 > 6 > k
ShowHide Answer
Official Answer
E
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93032
Own Kudos [?]: 621456 [3]
Given Kudos: 81751
Send PM
CAT Tests Forum Quiz Mode
Re: If j and k are positive integers and j + k is odd [#permalink] New post   04 Feb 2014, 09:59
2
Kudos
1
Bookmarks
Expert Reply
If j and k are positive integers and j + k is odd, what is the value of k?

j + k is odd, means that one of the unknowns is even and another odd.

(1) When j is divided by k, the remainder is 3. Since the remainder (3 in our case) is always less than the divisor (k in our case), then this statement implies that k is greater than 3. Not sufficient.

(2) j > 7 > 6 > k. Clearly insufficient.

(1)+(2) From above: 3 < k < 6 < 7 < j, thus k can be 4 (in this case j can be for example, 11) or 5 (in this case j can be for example, 8) Not sufficient.

Answer: E.

Hope it's clear.
User avatar
bhatiamanu05
Manager
Manager
Joined: 19 Apr 2013
Posts: 55
Own Kudos [?]: 186 [0]
Given Kudos: 9
Concentration: Entrepreneurship, Finance
GMAT Date: 06-05-2015
GPA: 3.88
WE:Programming (Computer Software)
Send PM
GMAT ToolKit User
Re: If j and k are positive integers and j + k is odd [#permalink] New post   04 Feb 2014, 10:33
guerrero25 wrote:
If j and k are positive integers and j + k is odd, what is the value of k?

(1) When j is divided by k, the remainder is 3

(2) j > 7 > 6 > k



Statement 1::

J = nK +3

J+K = odd their must be one number from J,K so that sum will be odd.
If K is odd depending on n value J can be even or odd. So In sufficient.
It also signifies k >3

Statement 2:

j > 7 So J can be 10,9,8

K can be 5,4,3,2,1

So In Sufficient.

Combining both of them.
K cn be 4,5 K can have two values.

So In sufficient.
Ans is E.
User avatar
L
BillyZ
Current Student
Joined: 14 Nov 2016
Posts: 1173
Own Kudos [?]: 20751 [0]
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
Schools: Sloan '23 (D) Tuck '23 (D) Darden '23 (D) Ross '23 (D) Kellogg '23 (D) Wharton '23 (D) Booth '23 (D) Fuqua '24 (A) Harvard '24 (D) Stanford '24 (D)
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Send PM
GMAT ToolKit User Reviews Badge
Re: If j and k are positive integers and j + k is odd [#permalink] New post   06 Mar 2017, 20:18
guerrero25 wrote:
If j and k are positive integers and j + k is odd, what is the value of k?

(1) When j is divided by k, the remainder is 3

(2) \(j > 7 > 6 > k\)


Official solution from Veritas Prep.

E. Statement 1 is not sufficient, as there are infinite combinations of values. For example, if j is 3, then k could be any even number > 4. Statement 2 is also not sufficient, as k could be any integer 1 through 5. Taken together, the statements are still not sufficient, as j and k could be 11 and 4 (leaving 2 remainder 3) or 8 and 5 (1 remainder 3). The "trap" here is that 8 and 5 are the only values that work for the quotient to be 1 with the remainder 3. But because j could be any large number, the possibilities are endless.
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8024
Own Kudos [?]: 4111 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User
Re: If j and k are positive integers and j + k is odd [#permalink] New post   07 Jul 2020, 10:03
guerrero25 wrote:
If j and k are positive integers and j + k is odd, what is the value of k?

(1) When j is divided by k, the remainder is 3

(2) j > 7 > 6 > k


given condition that j and k are positive integers and j + k is odd
j+k odd means either of them is even and odd
so k can be even or odd
#1
When j is divided by k, the remainder is 3
j,k possible pairs ; ( 3,6) ; (3,10) ; ( 9,6) insufficient
#2
j > 7 > 6 > k
many possible pairs of j,k where odd+even are values
insufficient
from 1 &2
we can have j,k pairs ; ( 8,5) ; ( 7,4)
insufficient
OPTION E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32789
Own Kudos [?]: 827 [0]
Given Kudos: 0
Send PM
Re: If j and k are positive integers and j + k is odd [#permalink] New post   18 Apr 2023, 05:03
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.
GMAT Club Bot
gmatclubot
Re: If j and k are positive integers and j + k is odd [#permalink]
18 Apr 2023, 05:03
Moderator:
Bunuel
Math Expert
93032 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions