Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49300

If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
20 Dec 2015, 05:49
Question Stats:
85% (00:25) correct 15% (00:32) wrong based on 142 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Aug 2009
Posts: 6790

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
21 Dec 2015, 04:06
Bunuel wrote: If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?
A. 0 B. 1 C. 2 D. 3 E. 4 hi, If 2 is the remainder when m is divided by 5, m can end with 7 or 2.. so 3m will end with.. 3*7 or 3*2 that is 1 or 6.. therefore any number with last digit 1 or 6 when divided by 5 will always leave 1 as remainder. ans B
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



SVP
Joined: 08 Jul 2010
Posts: 2333
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
21 Dec 2015, 04:10
Bunuel wrote: If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?
A. 0 B. 1 C. 2 D. 3 E. 4 Let's find a number which when divided by 5 leaves remainder 2 = 5+2 = 7 i.e. one possible value of m = 7 value of 3m = 3*7 = 21 when em is divided by 5 then remainder = Rem (21/5) = 1 Answer: option B
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6227
GPA: 3.82

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
21 Dec 2015, 05:33
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer. If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5? A. 0 B. 1 C. 2 D. 3 E. 4 We can put m=5*k+2. So 3*m=15*k+6 > 15*k+6 = 5*(3*m+1) +1 > The remainder is 1. The answer is, therefore, (B).
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $99 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Manager
Joined: 04 Apr 2015
Posts: 184

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
21 Dec 2015, 06:18
We can say
m=5a+2 .multiplying 3 on both side 3m=15a+6 Now divide by 5 through out m and 15a are multiples of 5 so remainder will be obtained from 6/5 remainder = 1



Manager
Status: tough ... ? Naaahhh !!!!
Joined: 08 Sep 2015
Posts: 64
Location: India
Concentration: Marketing, Strategy
WE: Marketing (Computer Hardware)

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
21 Dec 2015, 06:43
2 is the remainder when m is divided by 5, So 'm' will be 2, 7, 12 and so on.
what is the remainder when 3m is divided by 5.. putting all the values of m, we will get 1
Ans:B



Intern
Joined: 08 Aug 2015
Posts: 4
Location: India
WE: Manufacturing and Production (Aerospace and Defense)

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
22 Dec 2015, 07:10
When 'm' is divided by 5 remainder is 2, also there must be a coefficient, say 'a' So 'm' can be written as "m=5a+2" To find remainder when 3m divided by 5, we can write (15a+6)/5 The term 15a being a multiple of 5 gives no remainder hence 6/5 is the only term which gives the remainder 1. Answer: B



VP
Joined: 07 Dec 2014
Posts: 1087

If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
20 Aug 2016, 19:19
if m/5 leaves a remainder of 2, then 3m/5 leaves a remainder of 3*25=1



NonHuman User
Joined: 09 Sep 2013
Posts: 8121

Re: If 2 is the remainder when m is divided by 5, what is the remainder
[#permalink]
Show Tags
19 Jan 2018, 15:59
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




Re: If 2 is the remainder when m is divided by 5, what is the remainder &nbs
[#permalink]
19 Jan 2018, 15:59






