Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 17:17

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

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

If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56304
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

01 Nov 2016, 04:46
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:26) correct 14% (01:36) wrong based on 95 sessions

HideShow timer Statistics

If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?

A. 14
B. 28
C. 58
D. 68
E. 74

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2960
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

01 Nov 2016, 06:02
Bunuel wrote:
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?

A. 14
B. 28
C. 58
D. 68
E. 74

m is 3 more than a multiple of 5 i.e. m = 5a+3
m is 2 more than a multiple of 6 i.e. m = 6b+2

Just check option

A. 14 when divided by 5 leaves remainder 4 instead of 3 hence incorrect option
B. 28 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 4 instead of 2 hence Incorrect option
C. 58 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 4 instead of 2 hence Incorrect option
D. 68 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 2 hence Correct option
E. 74

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

01 Nov 2016, 07:52
Bunuel wrote:
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?

A. 14
B. 28
C. 58
D. 68
E. 74

(A) 14 - 3 is 11 not multiple of 5

(B) 28 - 2 is 26 not multiple of 6

(C) 55 - 2 is 53 not multiple of 6

(D) 68 - 2 is 66 multiple of 6 and 68 - 3 = 65 multiple of 5

(D) 74 - 3 is 71 not multiple of 5

Hence, Correct answer must be (D)

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Manager
Status: Quant Expert Q51
Joined: 02 Aug 2014
Posts: 106
Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

01 Nov 2016, 08:18
Here is my detailed solution,

Hope you like it,

Anis
Attachments

IMAG0327.jpg [ 978.49 KiB | Viewed 1577 times ]

_________________
Senior Manager
Joined: 06 Jun 2016
Posts: 258
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

02 Nov 2016, 05:55
Bunuel wrote:
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?

A. 14
B. 28
C. 58
D. 68
E. 74

IMO D
m=5k+3 and m=6l+2
only option D satisfies the given condition.
VP
Joined: 07 Dec 2014
Posts: 1209
Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

02 Nov 2016, 15:36
Bunuel wrote:
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?

A. 14
B. 28
C. 58
D. 68
E. 74

lowest value of m is 8
8+5*6=38 (not a choice)
38+5*6=68
D
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6967
Location: United States (CA)
Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,  [#permalink]

Show Tags

04 Nov 2016, 09:37
Bunuel wrote:
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?

A. 14
B. 28
C. 58
D. 68
E. 74

Since m is 3 more than a multiple of 5, we can say the following:

m = 3 + 5k (where k is an integer)

Since m is 2 more than a multiple of 6, we can say the following:

m = 2 + 6x (where x is an integer)

At this point, it may be easiest to check the answer choices to determine which could be m.

A) 14

Since 14 IS NOT 3 more than a multiple of 5, 14 cannot be m.

B) 28

Since 28 IS NOT 2 more than a multiple of 6, 28 cannot be m.

C) 58

Since 58 IS NOT 2 more than a multiple of 6, 58 cannot be m.

D) 68

Since 68 IS 2 more than a multiple of 6, and 3 more than a multiple of 5, 68 CAN BE m.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

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

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If m is 3 more than a multiple of 5 and 2 more than a multiple of 6,   [#permalink] 04 Nov 2016, 09:37
Display posts from previous: Sort by