GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close

It is currently 19 Jan 2021, 13:34
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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
N is the 36th prime number. N has remainder 1 when it is divided by 3
9 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags :
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10419
GMAT 1: 760 Q51 V42
GPA: 3.82
N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  13 Jun 2018, 01:59
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

71% (01:37) correct 29% (01:47) wrong based on 117 sessions

Hide Show timer Statistics

[GMAT math practice question]

N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?

A. -1
B. 0
C. 1
D. 2
E. 3
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
MathRevolution: The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $69 for on-demand and $60 for tutoring per hour.
Signature Read More
User avatar
V
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3247
Location: India
GPA: 3.12
N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  13 Jun 2018, 02:10
MathRevolution wrote:
[GMAT math practice question]

N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?

A. -1
B. 0
C. 1
D. 2
E. 3

N%3 = 1 and N%5 = 1
N will be of form 3*5*x + 1 or 15x + 1.
Various possibilities are 16,31,46,61,76,91,106,121,136,151..

Possibilities of prime numbers are 31,61,151 and any such prime number
when divided by 2 gives a remainder of 1(Option C)
_________________
You've got what it takes, but it will take everything you've got
Signature Read More
User avatar
P
LevanKhukhunashvili
Senior Manager
Senior Manager
Joined: 13 Feb 2018
Posts: 434
GMAT 1: 640 Q48 V28
N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  13 Jun 2018, 02:12
4
Kudos
The only even prime number is 2, all other primes are odd, so odd/2 always leaves remainder 1
Note that prime number cant be -ve, kill answer 'A'

Answer: C
avatar
B
Tuanguyen248
Intern
Intern
Joined: 10 Jun 2018
Posts: 12
Re: N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  13 Jun 2018, 02:21
N is prime number. N>2 so probably N=2k+1.

C is the only choice.
User avatar
V
chetan2u
Math Expert
Joined: 02 Aug 2009
Posts: 9306
Reviews Badge Top Member of the Month
Re: N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  13 Jun 2018, 02:31
2
Kudos
1
Bookmarks
Expert Reply
MathRevolution wrote:
[GMAT math practice question]

N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?

A. -1
B. 0
C. 1
D. 2
E. 3



Two things..
1) A prime number>2 will always be ODD, so whatever be its number 36th or 136th, N will always leave 1 as remainder when div by 2..
So C
2) there are no negative remainder so when you say -1, it means 2-1=1
May be choice A should not have been there..
User avatar
G
Hero8888
Senior Manager
Senior Manager
Joined: 29 Dec 2017
Posts: 360
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE:Marketing (Telecommunications)
N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  13 Jun 2018, 07:21
MathRevolution wrote:
[GMAT math practice question]

N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?

A. -1
B. 0
C. 1
D. 2
E. 3


Method 1

POE:

1. Reminder can not be greater than divisor (in our case it is 2), so D and E are out.
2. Any prime (except 2) is odd, so B is out
3. There is no negative reminder, so A is out

Method 2

Any prime number can be written as 6n+1 or 6n-1, after dividing it to 2, we get reminder 1.

Answer is C.
User avatar
V
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10419
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  15 Jun 2018, 01:04
Expert Reply
=>

All prime numbers but 2 are odd integers.
Thus, the remainder when N is divided by 2 is 1.

Therefore, the answer is C.
Answer: C
_________________
MathRevolution: The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $69 for on-demand and $60 for tutoring per hour.
Signature Read More
User avatar
G
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 2794
Re: N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  16 Jun 2018, 09:09
Expert Reply
MathRevolution wrote:

N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?

A. -1
B. 0
C. 1
D. 2
E. 3


Since the 36th prime number must be odd, when divided by 2, the remainder is 1.

Answer: C
_________________

★ ★ ★ ★ ★   250 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Signature Read More
User avatar
B
ihasan
Intern
Intern
Joined: 14 Dec 2014
Posts: 12
Location: India
GMAT 1: 530 Q42 V20
Re: N is the 36th prime number. N has remainder 1 when it is divided by 3 [#permalink] New post  20 Aug 2020, 12:28
This part is given to tell you that it is not the prime number 2 they are talking about - 'N is the 36th prime number'.

This part is given just to confuse you - 'N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5'.

Every prime number except 2 is odd. Hence any odd number divided by 2 will always give 1 as remainder.
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9306 posts
Bunuel
Math Expert
70363 posts
VeritasKarishma
Veritas Prep GMAT Instructor
11368 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2356 posts
generis
Senior SC Moderator
4443 posts
Feedback

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