NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 20:57 It is currently 25 Apr 2024, 20:57
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

Is a single digit integer x even? 1) Sum of all the factors of x is e

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5960
Own Kudos [?]: 13387 [3]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Is a single digit integer x even? 1) Sum of all the factors of x is e [#permalink] New post   30 Jun 2017, 20:05
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

68% (01:54) correct 32% (01:48) wrong based on 104 sessions
Hide Show timer Statistics
Is a single digit integer x even?

1) Sum of all the factors of x is equal to twice the number
2) x is divisible by 3

Source: www.GMATinsight.com
ShowHide Answer
Official Answer
A
User avatar
B
RaguramanS
Manager
Manager
Joined: 17 Feb 2016
Posts: 71
Own Kudos [?]: 151 [1]
Given Kudos: 59
Location: India
Concentration: General Management, Entrepreneurship
Schools: Rutgers '18 ISB '18 Great Lakes '18 Sloan '18
GMAT 1: 660 Q47 V36
GPA: 3.12
WE:Education (Internet and New Media)
Send PM
Reviews Badge
Re: Is a single digit integer x even? 1) Sum of all the factors of x is e [#permalink] New post   30 Jun 2017, 20:29
1
Bookmarks
Is a single digit integer x even?

1) Sum of all the factors of x is equal to twice the number
2) x is divisible by 3

X = 2k ?

St1: factors of x = 2* x
Let sum of factors of x= y
Then, y= 2x, this implies y is divisible by 2
Therefore x is even
Sufficient

St2: x is div by 3
X can be 3,6,9,12
Not sufficient

Option A
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5960
Own Kudos [?]: 13387 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: Is a single digit integer x even? 1) Sum of all the factors of x is e [#permalink] New post   30 Jun 2017, 21:30
Expert Reply
RaguramanS wrote:
Is a single digit integer x even?

1) Sum of all the factors of x is equal to twice the number
2) x is divisible by 3

X = 2k ?

St1: factors of x = 2* x
Let sum of factors of x= y
Then, y= 2x, this implies y is divisible by 2
Therefore x is even
Sufficient

St2: x is div by 3
X can be 3,6,9,12
Not sufficient

Option A


Reasoning of statement 1 is incorrect in the above mentioned solution

CORRECT REASONING
from 1 to 9 there is only one number (which is 6) for which sum of all he factors = 2*Number

Factors of 6 = 1, 2, 3, 6
and 1+2+3+6 = 12 = 2*6

hence, SUFFICIENT
User avatar
B
RaguramanS
Manager
Manager
Joined: 17 Feb 2016
Posts: 71
Own Kudos [?]: 151 [0]
Given Kudos: 59
Location: India
Concentration: General Management, Entrepreneurship
Schools: Rutgers '18 ISB '18 Great Lakes '18 Sloan '18
GMAT 1: 660 Q47 V36
GPA: 3.12
WE:Education (Internet and New Media)
Send PM
Reviews Badge
Re: Is a single digit integer x even? 1) Sum of all the factors of x is e [#permalink] New post   30 Jun 2017, 22:39
GMATinsight wrote:


CORRECT REASONING
from 1 to 9 there is only one number (which is 6) for which sum of all he factors = 2*Number

Factors of 6 = 1, 2, 3, 6
and 1+2+3+6 = 12 = 2*6

hence, SUFFICIENT


Thanks for the clarification.
So checking every number from 1 to 9 is the only way to solve the problem.?
Can you please elaborate on why my above reasoning is wrong. I have generalized the statement to save time.
The actual number as per my analysis is also an even number.
User avatar
B
Gmatmenow
Intern
Intern
Joined: 01 Jan 2020
Posts: 5
Own Kudos [?]: 0 [0]
Given Kudos: 654
Send PM
Is a single digit integer x even? 1) Sum of all the factors of x is e [#permalink] New post   05 Jan 2021, 13:40
RaguramanS wrote:
GMATinsight wrote:


CORRECT REASONING
from 1 to 9 there is only one number (which is 6) for which sum of all he factors = 2*Number

Factors of 6 = 1, 2, 3, 6
and 1+2+3+6 = 12 = 2*6

hence, SUFFICIENT


Thanks for the clarification.
So checking every number from 1 to 9 is the only way to solve the problem.?
Can you please elaborate on why my above reasoning is wrong. I have generalized the statement to save time.
The actual number as per my analysis is also an even number.



Factors of 12 are 1,2,3,4,6,12 so total = 28 is not double 12
acording to question stem it is SINGLE digit
it is true for 6
hence A suff
GMAT Club Bot
gmatclubot
Is a single digit integer x even? 1) Sum of all the factors of x is e [#permalink]
05 Jan 2021, 13:40
Moderator:
Bunuel
Math Expert
92915 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