Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Mar 2911:30 AM EDT
-12:30 PM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Mar 3005:30 AM PDT
-07:30 AM PDT
We know Strengthen and Weaken questions account for more than 50% of the CR questions on the GMAT. With CR becoming even more important on GMAT Focus, it's time you strengthen your weaknesses with an approach that improves your solving time and accuracy!
Mar 3011:00 AM IST
-01:00 PM IST
Attend this session to evaluate your current skill level, learn process skills, and solve through tough Arithmetic questions.
Mar 3110:00 AM EDT
-11:59 PM EDT
The Target Test Prep team has recently introduced TTP OnDemand GMAT, a 400-hour live masterclass video course created by Scott Woodbury-Stewart, founder and CEO of Target Test Prep.
Apr 0308:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
21 Jul 2015, 03:11
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:03) correct
13%
(01:18)
wrong
based on 509
sessions
History
Date
Time
Result
Not Attempted Yet
When n is divided by 5 the remainder is 3. What is the remainder when (n + 4)^2 is divided by 5?
A. 0
B. 1
C. 2
D. 3
E. 4
Kudos for a correct solution.
A. 0
B. 1
C. 2
D. 3
E. 4
Kudos for a correct solution.
25 Jul 2015, 00:54
Kudos
Bookmarks
You don't need to plug in values.
question is for (n+4) ^ 2:
let n = 5k + 3.
Add 4 to RHS & LHS => n+4 = 5k + 3 + 4 => n+4 = 5k + 5 + 2 . Here you can see 5k + 5 is divisible by 5.
Now square RHS & LHS => (n+4)^2 = (5k + 5 + 2)^2. For ease let 5k+5 be X which is anyway divisible by 5
=> (n+4)^2 = (X+ 2)^2
=> (n+4)^2 = X^2 + 4 +2X
When we divide X^2 + 4 +2X by 5 ... X^2 & 2X are divisible by 5.
So 4 remains to be divided by 5 .
Hence remainder is 4 ie Ans : E
question is for (n+4) ^ 2:
let n = 5k + 3.
Add 4 to RHS & LHS => n+4 = 5k + 3 + 4 => n+4 = 5k + 5 + 2 . Here you can see 5k + 5 is divisible by 5.
Now square RHS & LHS => (n+4)^2 = (5k + 5 + 2)^2. For ease let 5k+5 be X which is anyway divisible by 5
=> (n+4)^2 = (X+ 2)^2
=> (n+4)^2 = X^2 + 4 +2X
When we divide X^2 + 4 +2X by 5 ... X^2 & 2X are divisible by 5.
So 4 remains to be divided by 5 .
Hence remainder is 4 ie Ans : E
General Discussion
21 Jul 2015, 04:02
Kudos
Bookmarks
Bunuel
When n is divided by 5 the remainder is 3. What is the remainder when (n + 4)^2 is divided by 5?
A. 0
B. 1
C. 2
D. 3
E. 4
Kudos for a correct solution.
A. 0
B. 1
C. 2
D. 3
E. 4
Kudos for a correct solution.
one possible value of n = 5+3 = 8
i.e. n+4 = 8+4 = 12
12^2 = 144
144 when divided by 5 leaves remainder 4
Answer: Option E
