GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Feb 2019, 20:03

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT practice

February 15, 2019

February 15, 2019

10:00 PM EST

11:00 PM PST

Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need.

# If integer m is 3 more than a multiple of 5 and 2 more than a multiple

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52905
If integer m is 3 more than a multiple of 5 and 2 more than a multiple  [#permalink]

### Show Tags

05 Dec 2016, 01:26
00:00

Difficulty:

45% (medium)

Question Stats:

63% (02:26) correct 38% (02:48) wrong based on 32 sessions

### HideShow timer Statistics

If integer m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be 7m + 4?

A. 65
B. 104
C. 158
D. 270
E. 291

_________________
SC Moderator
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: If integer m is 3 more than a multiple of 5 and 2 more than a multiple  [#permalink]

### Show Tags

05 Dec 2016, 07:12
m = 5x + 3
n = 6y + 2

Find the first intersection --> Happens when x = y = 1 --> m = 8

Successive intersections can be found out by taking the LCM(5, 6) and adding 8 to it --> LCM(5,6) + 8 --> 30a + 8 --> 8, 38, 68, 98, .......

When m = 8 --> 7m + 4 = 60
When m = 38 --> 7m + 4 = 266 + 4 = 270

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4382
Location: India
GPA: 3.5
Re: If integer m is 3 more than a multiple of 5 and 2 more than a multiple  [#permalink]

### Show Tags

05 Dec 2016, 09:14
1
1
Bunuel wrote:
If integer m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be 7m + 4?

A. 65
B. 104
C. 158
D. 270
E. 291

$$\frac{Correct \ Option \ - \ 4}{7} = Remainder \ 0$$

Now, check the options to find the value of m -

(A) 65 - 4 = 61 ( Not divisible by 7 )
(B) 104 - 4 = 101 ( Not divisible by 7 )
(C) 158 - 4 = 154 ( Divisible by 7 ) ; m = 22
(D) 270 - 4 = 266 ( Divisible by 7 ) ; m = 38
(E) 291 - 4 = 287 ( Divisible by 7 ) ; m = 41

Now , check among the given option only (D) satisfies....

38 = 5*7 + 3 ( m is 3 more than a multiple of 5 )
38 = 6*6 + 2 ( m is 2 more than a multiple of 6 )

Hence, with Vyshak 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 )

Non-Human User
Joined: 09 Sep 2013
Posts: 9832
Re: If integer m is 3 more than a multiple of 5 and 2 more than a multiple  [#permalink]

### Show Tags

04 Feb 2019, 18:45
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.
_________________
Re: If integer m is 3 more than a multiple of 5 and 2 more than a multiple   [#permalink] 04 Feb 2019, 18:45
Display posts from previous: Sort by