NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 23:36 It is currently 25 Apr 2024, 23:36
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

A certain number X when divided by 243 leaves a remainder of 98. Which

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619075 [11]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   22 Apr 2016, 04:31
2
Kudos
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

91% (01:13) correct 9% (02:30) wrong based on 264 sessions
Hide Show timer Statistics
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?

A. 17
B. 27
C. 37
D. 47
E. 57
ShowHide Answer
Official Answer
A
Most Helpful Reply
avatar
gaurav0480
Intern
Intern
Joined: 08 Sep 2012
Posts: 8
Own Kudos [?]: 18 [6]
Given Kudos: 10
GMAT 1: 770 Q50 V45
WE:General Management (Non-Profit and Government)
Send PM
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   22 Apr 2016, 10:19
2
Kudos
4
Bookmarks
X=243y+98
so X/81 = 243y/81 + 98/81
since 243 is divisible by 81 the remainder of X/81 is remainder of 98/81 that is 17
Therefore subtracting 17 from X will make it divisible by 81
hence A is the answer
General Discussion
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6820
Own Kudos [?]: 29936 [3]
Given Kudos: 799
Location: Canada
Send PM
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   16 Jun 2016, 14:01
3
Kudos
Expert Reply
Top Contributor
Bunuel wrote:
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?

A. 17
B. 27
C. 37
D. 47
E. 57


Be careful.
341 is NOT the smallest possible (positive) value of X
X could equal 98, since 98 divided by 243 equals 0 with remainder 98

If we want X to be divisible by 81, we can just subtract 17 from 98 (to get 81)
Answer:
Show Spoiler
A


Related Video
NOTE: The relevant section starts at 2:57
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3965 [3]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   15 Jun 2020, 21:38
3
Kudos
Bunuel wrote:
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?

A. 17
B. 27
C. 37
D. 47
E. 57


Given: A certain number X when divided by 243 leaves a remainder of 98.
Asked: Which of the following can be subtracted from X to make X divisible by 81?

243 = 81*3
X = 243k + 98 ; where k is an integer
X = 81(3k+1) + 17
X - 17 = 81(3k+1) ; Divisible by 81

IMO A
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [2]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   22 Apr 2016, 10:24
2
Bookmarks
Bunuel wrote:
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?

A. 17
B. 27
C. 37
D. 47
E. 57


Least possible value of the number is 243 + 98 = 341

Further it is given the number must be divisible by 81 .

341/81 = Gives remainder as 17

So, 17 must be subtracted from the number , answer is (A) :-D :lol: :P
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3131 [0]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   22 Apr 2016, 10:28
Here is my approach =>
X= 243P+98 for some integer P
=> X= 81P+98 = 81Q +17 for some integer Q
hence if we subtract 17 => X=81Q which would be divisible by P
SMASH A
Regards
Stone Cold
User avatar
L
TheNightKing
VP
VP
Joined: 18 Dec 2017
Posts: 1170
Own Kudos [?]: 991 [0]
Given Kudos: 421
Location: United States (KS)
GMAT 1: 600 Q46 V27
Send PM
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   17 Mar 2020, 07:39
Bunuel wrote:
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?

A. 17
B. 27
C. 37
D. 47
E. 57


X= 243 + 98
X=243+100-2=341

81*4=324

So we need to substract 17 from 341 to be able to make it divisible by 81.

Answer A
User avatar
B
m7runner
Intern
Intern
Joined: 15 May 2023
Posts: 10
Own Kudos [?]: [0]
Given Kudos: 22
Send PM
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink] New post   07 Jul 2023, 00:56
Kinshook wrote:
Bunuel wrote:
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?

A. 17
B. 27
C. 37
D. 47
E. 57


Given: A certain number X when divided by 243 leaves a remainder of 98.
Asked: Which of the following can be subtracted from X to make X divisible by 81?

243 = 81*3
X = 243k + 98 ; where k is an integer
X = 81(3k+1) + 17
X - 17 = 81(3k+1) ; Divisible by 81

IMO A


Kinshook this is a much more clearer explanation, thank you!
GMAT Club Bot
gmatclubot
Re: A certain number X when divided by 243 leaves a remainder of 98. Which [#permalink]
07 Jul 2023, 00:56
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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