NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 08:01 It is currently 25 Apr 2024, 08:01
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 n is an integer, what is the remainder when (n – 3)^2 is divided by

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 618954 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
If n is an integer, what is the remainder when (n – 3)^2 is divided by [#permalink] New post   27 Jan 2020, 03:04
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

70% (01:43) correct 30% (02:02) wrong based on 66 sessions
Hide Show timer Statistics
If n is an integer, what is the remainder when (n – 3)^2 is divided by 4?

(1) n is divisible by 2.
(2) n is divisible by 4.
ShowHide Answer
Official Answer
D
avatar
G
suchita2409
Manager
Manager
Joined: 11 May 2019
Posts: 169
Own Kudos [?]: 114 [0]
Given Kudos: 298
Send PM
Re: If n is an integer, what is the remainder when (n – 3)^2 is divided by [#permalink] New post   27 Jan 2020, 03:19
IMO Option D

Both statements are alone sufficient to answee the question.

Any multiple of 2 or 4 gives remainder 1 when divided by(n-3)^2

Posted from my mobile device
User avatar
D
lacktutor
Director
Director
Joined: 25 Jul 2018
Posts: 668
Own Kudos [?]: 1119 [1]
Given Kudos: 69
Send PM
Re: If n is an integer, what is the remainder when (n – 3)^2 is divided by [#permalink] New post   27 Jan 2020, 03:24
1
Kudos
If n is an integer, what is the remainder when \((n – 3)^2\) is divided by 4?

(Statement1): n is divisible by 2.
-->let's say that n =2k (k -integer)
\((n – 3)^{2}= (2k-3)^{2}= 4k^{2} -12k+ 9 --> 4(k^{2} -3k+ 2)+ 1\)
--> the remainder is 1.
Sufficient

(Statement2): n is divisible by 4.
-->let's say that n =4k (k -integer)
\((n – 3)^{2}= (4k-3)^{2}= 16k^{2} -24k+ 9 --> 4(4k^{2} -8k+ 2)+ 1\)
--> the remainder is 1.
Sufficient

The answer is D.
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: If n is an integer, what is the remainder when (n – 3)^2 is divided by [#permalink] New post   27 Jan 2020, 03:51
Expert Reply
Bunuel wrote:
If n is an integer, what is the remainder when (n – 3)^2 is divided by 4?

(1) n is divisible by 2.
(2) n is divisible by 4.



Question: remainder when (n – 3)^2 is divided by 4?

Statement 1:n is divisible by 2.

@n=4, Remainder[(4-3)^2 / 4] = 1
@n=6, Remainder[(6-3)^2 / 4] = 1
@n=4, Remainder[(8-3)^2 / 4] = 1

i.e. Reminder is always 1 hence

SUFFICIENT

STatement 2: n is divisible by 4

As checked in statement 1, the remainder is always 1 when n is even hence when n is a multiple of 4 even then the remainder will be 1

SUFFICIENT

Answer: Option D

P.S. Industio n method is one of the most promising method when algebraic simplification is lengthy and/or complex
GMAT Club Bot
gmatclubot
Re: If n is an integer, what is the remainder when (n – 3)^2 is divided by [#permalink]
27 Jan 2020, 03:51
Moderator:
Bunuel
Math Expert
92914 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