MBA Spotlight – The Biggest MBA Fair is June 13-14
close
It is currently 04 Jun 2023, 07:14
Register
GMAT Club Tests
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 a positive integer and 3x + 2 is divisible by 5, then which of

5 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88617
CAT Tests Forum Quiz Mode Top Member of the Month
If x is a positive integer and 3x + 2 is divisible by 5, then which of [#permalink] New post  13 Mar 2020, 07:51
1
Kudos
8
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

73% (01:52) correct 27% (02:00) wrong based on 258 sessions

Hide Show timer Statistics

If x is a positive integer and 3x + 2 is divisible by 5, then which of the following must be true?

(A) x is divisible by 3.
(B) 3x is divisible by 10.
(C) x − 1 is divisible by 5.
(D) x is odd.
(E) 3x is even.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
avatar
L
Dillesh4096
VP
VP
Joined: 20 Jul 2017
Posts: 1311
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Re: If x is a positive integer and 3x + 2 is divisible by 5, then which of [#permalink] New post  13 Mar 2020, 08:13
1
Kudos
3
Bookmarks
Bunuel wrote:
If x is a positive integer and 3x + 2 is divisible by 5, then which of the following must be true?

(A) x is divisible by 3.
(B) 3x is divisible by 10.
(C) x − 1 is divisible by 5.
(D) x is odd.
(E) 3x is even.


\(3x + 2\) is divisible by \(5\)
--> \(3x + 2 = 5p\), for any positive integer p
--> \(3x = 5p - 2\)
--> \(x = \frac{5p - 2}{3}\)
--> Possible values of x = {1, 6, 11, 16, 21, 26, . . . . .} for p = 1, 4, 7, 10, 13, 16, . . . . .

(A) x is divisible by 3. --> Not always [x = 1, 11, . . . .]
(B) 3x is divisible by 10. --> Never [3x = 3, 16, 33, . . . . . ]
(C) x − 1 is divisible by 5. --> Always [x - 1 = 0, 5, 10, 15, 20, . . . . .]
(D) x is odd. --> Not always [x = 6, 16, 26, . . . . . ]
(E) 3x is even --> Not always [x = 3, 33, 63, . . . . . ]

Option C
User avatar
L
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3152
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Re: If x is a positive integer and 3x + 2 is divisible by 5, then which of [#permalink] New post  13 Mar 2020, 08:25
Putting integers in 3x+2 with the given constraints of being divisible by 5
Gives the value of X be 1,6,11,16,21.... So on
Now analysing options one by one.
1) x=1,6,11 is not divisible by 3 (Incorrect)
2) 3x=3,18,33 is not divisible by 10 (Incorrect)
3) X-1=0,5,10,15... All are divisible by 5 (Correct)
4) X=1,6,11,16... x is not always odd (Incorrect)
5) 3x=3,18,33,... Are not always even (Incorrect)

So OA is C

Posted from my mobile device
_________________
MSc/MIM Programs Chat Room | MIM/MSc Management Programs Deadlines for fall 2023 Admission | MIM/MSc Management Programs 2022 Rankings
Signature Read More
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 5794
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
GMAT ToolKit User
If x is a positive integer and 3x + 2 is divisible by 5, then which of [#permalink] New post  13 Mar 2020, 10:05
Bunuel wrote:
If x is a positive integer and 3x + 2 is divisible by 5, then which of the following must be true?

(A) x is divisible by 3.
(B) 3x is divisible by 10.
(C) x − 1 is divisible by 5.
(D) x is odd.
(E) 3x is even.


Plug in the values of x and check

If \(x = 1\) ; \(\frac{3x + 2}{5} = \frac{3*1 + 2}{5}\) is divisible by 5

If \(x = 6\) ; \(\frac{3x + 2}{5} = \frac{3*6 + 2}{5}\) is divisible by 5

Now check the options...

(A) x is not always divisibly by 3
(B) 3x is not always divisible by 10.
(C) x − 1 is always divisible by 5.
(D) x is not alwaysodd.
(E) 3x is not always even

Thus, Answer must be (C)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27902
Re: If x is a positive integer and 3x + 2 is divisible by 5, then which of [#permalink] New post  18 May 2023, 07:39
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: If x is a positive integer and 3x + 2 is divisible by 5, then which of [#permalink]
18 May 2023, 07:39
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
88617 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3152 posts

cron

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