Last visit was: 18 Dec 2024, 08:36 It is currently 18 Dec 2024, 08:36

Close

GRE Prep 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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [0]
Given Kudos: 26080
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [0]
Given Kudos: 26080
Send PM
avatar
Intern
Intern
Joined: 17 Aug 2020
Posts: 40
Own Kudos [?]: 31 [0]
Given Kudos: 0
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12226 [0]
Given Kudos: 136
Send PM
Re: If n is a prime number greater than 3, what is the remainder [#permalink]
Carcass wrote:
If n is a prime number greater than 3, what is the remainder when \(n^2\) is divided by 12 ?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 5


A nice fast approach is to TEST a possible value of n.
Since n must be a prime number that's greater than 3, let's TEST n = 5

If n = 5, then n² = 5² = 25, and when we divide 25 by 12, we get 2 with REMAINDER 1

Answer: B

Cheers,
Brent
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Own Kudos [?]: 974 [0]
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Send PM
If n is a prime number greater than 3, what is the remainder [#permalink]
Given that n is a prime number greater than 3 and we need to find what is the remainder when \(n^2\) is divided by 12

Lets take a prime number greater than 3
=> n = 5

(Watch this video to know about Prime Numbers)

\(n^2\) = \(5^2\) = 25

\(n^2\) i.e. 25 when divided by 12 will give 1 remainder

So, Answer will be B
Hope it helps!

Watch the following video to learn the Basics of Remainders

Prep Club for GRE Bot
If n is a prime number greater than 3, what is the remainder [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne