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

It is currently 17 Aug 2018, 21:52

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.

Close

Request Expert Reply

Confirm Cancel

If x and y are positive integers that have remainders of 2 and 5, resp

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

Show Tags

New post 02 Nov 2016, 02:46
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (01:19) correct 12% (01:02) wrong based on 90 sessions

HideShow timer Statistics

If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
avatar
Joined: 06 Jun 2016
Posts: 263
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

Show Tags

New post 02 Nov 2016, 03:23
Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72


IMO D
x=7k+2 and y=7q+5 (x+y= 7n+7)
x+y= multiple of 7
only D is multiple of 7.
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3773
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

Show Tags

New post 02 Nov 2016, 09:08
Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72


Minimum value of x = 9 and y = 12=>

x + y = 21 ( Divisible by 7 )

So, The correct answer choice will be one that will be divisible by 7..

Among the given options only (D) satisfies, hence 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 )

BSchool Forum Moderator
User avatar
D
Joined: 12 Aug 2015
Posts: 2649
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

Show Tags

New post 02 Nov 2016, 09:26
Abhishek009 wrote:
Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72


Minimum value of x = 9 and y = 12=>

x + y = 21 ( Divisible by 7 )

So, The correct answer choice will be one that will be divisible by 7..

Among the given options only (D) satisfies, hence answer must be (D)


Hi..!!
I think you got one part incorrect.
When you say that the minimum value of x and y => 9,12
Actually i think the values will be 2 and 5 respectively.

Am i missing something here?

Regards
Stone Cold
_________________


MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1067
If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

Show Tags

New post 08 Dec 2017, 11:03
Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72


x=7q+2
y=7p+5
x+y=7q+7p+7➡7(q+p+1)
49 is the only multiple of 7
D
If x and y are positive integers that have remainders of 2 and 5, resp &nbs [#permalink] 08 Dec 2017, 11:03
Display posts from previous: Sort by

If x and y are positive integers that have remainders of 2 and 5, resp

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.