NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 00:50 It is currently 25 Apr 2024, 00:50
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 x is an integer and y = 7x + 5, which of the following CANNOT be a

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618870 [8]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
If x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink] New post   20 Apr 2017, 23:46
8
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

68% (01:46) correct 32% (02:01) wrong based on 130 sessions
Hide Show timer Statistics
If x is an integer and y = 7x + 5, which of the following CANNOT be a divisor of y?

A. 10
B. 11
C. 12
D. 13
E. 14
ShowHide Answer
Official Answer
E
avatar
B
matthewsmith_89
Manager
Manager
Joined: 06 Dec 2016
Posts: 196
Own Kudos [?]: 57 [1]
Given Kudos: 10
Send PM
Re: If x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink] New post   21 Apr 2017, 12:40
1
Kudos
kivalo it is E
The easiest way to solve this problem is to plug in numbers for x
If x is 1 then y is divisible by 12
If x is 3 then y is divisible by 13
If x is 4 then y is divisbile by 11
If x is 5 then y is divisible by 10

E is the answer. :-D
User avatar
S
kivalo
Manager
Manager
Joined: 20 Sep 2016
Posts: 91
Own Kudos [?]: 165 [0]
Given Kudos: 207
GMAT 1: 680 Q49 V35
GPA: 3.99
Send PM
Re: If x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink] New post   21 Apr 2017, 01:31
I think it's E.

7x+5 will never be a multiple of 7. Therefore \(\frac{7x+5}{7*2}\) will have a remainder.
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3128 [0]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
If x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink] New post   22 Apr 2017, 07:18
Great question.

y=7x+5 for some integer x

As y is not divisible by 7 => It can never be divisible by 14

SMASH THAT E.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22050 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: If x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink] New post   25 Apr 2017, 09:14
Expert Reply
Bunuel wrote:
If x is an integer and y = 7x + 5, which of the following CANNOT be a divisor of y?

A. 10
B. 11
C. 12
D. 13
E. 14


Since y is 5 more than a multiple of 7, we see that y will NEVER be a multiple of 7. If y is not a multiple of 7, it can’t be a multiple of 14, either. Thus, 14 cannot be a divisor of y.

Answer: E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32662
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink] New post   24 Feb 2022, 03:44
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 x is an integer and y = 7x + 5, which of the following CANNOT be a [#permalink]
24 Feb 2022, 03:44
Moderators:
Bunuel
Math Expert
92901 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