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

It is currently 22 Jan 2019, 04:45

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

when a positive integer X is divided by 5 the remainder is 1.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1003
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
when a positive integer X is divided by 5 the remainder is 1.  [#permalink]

Show Tags

New post Updated on: 23 Jan 2018, 17:39
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

88% (01:35) correct 13% (01:02) wrong based on 8 sessions

HideShow timer Statistics

when a positive integer X is divided by 5 the remainder is 1. when X is divided by 8 the remainder is 4 . what is the smallest positive integer y such that, (X+Y) is divisible by 40 ?

a)3
b)4
c)9
d)13
e) none of these

looking for short-cut solution.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Originally posted by selim on 23 Jan 2018, 15:10.
Last edited by chetan2u on 23 Jan 2018, 17:39, edited 3 times in total.
updated topic name and added OA
Intern
Intern
avatar
Joined: 11 Nov 2017
Posts: 2
Re: when a positive integer X is divided by 5 the remainder is 1.  [#permalink]

Show Tags

New post 23 Jan 2018, 15:35
1
The first thing I did when attempting this problem is to find the lowest value that satisfies the information given.
We can quickly compare some values (6, 11, 16, 21, 26, 31, 36, 41) and (4, 12, 20, 28, 36, 44) and find out quickly that 36 is the lowest value which fits both the facts we are given.

from 36 we can look at the answer choices and see that 4 can be added to make it 40.
Answer is b)
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7211
Re: when a positive integer X is divided by 5 the remainder is 1.  [#permalink]

Show Tags

New post 23 Jan 2018, 17:35
selim wrote:
when a positive integer X is divided by 5 the remainder is 1. when X is divided by 8 the remainder is 4 . what is the smallest positive integer y such that, (X+Y) is divisible by 40 ?

a)3
b)4
c)9
d)13
e) none of these

looking for short-cut solution.


Please post question with correct topic name as first few words of the Question and with OA

x+y has to be divisible by 40, then x+y has to be EVEN..
x is even as it leaves a Remainder of 4 when div by 8..
So y has to be even.. only 4 is possible other than none of these
Eliminate a,c,d

For proper orLogical method..

When divided by 5, it leaves a Remainder of 1.
So x will have units digit 1 or 6

When divided by 8, x leaves a remainder of 4..
So units digit has to be even and thus 6..

Look for 6-4=2 as units digit in MULTIPLE of 8..
First such is 8*4=32..
So x is 32+4=36
Next number after 36 divisible by 40 is 40 itself..
So x+y=40....36+y=40...y=40-36=4

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1152
Re: when a positive integer X is divided by 5 the remainder is 1.  [#permalink]

Show Tags

New post 23 Jan 2018, 19:15
selim wrote:
when a positive integer X is divided by 5 the remainder is 1. when X is divided by 8 the remainder is 4 . what is the smallest positive integer y such that, (X+Y) is divisible by 40 ?

a)3
b)4
c)9
d)13
e) none of these

looking for short-cut solution.


x=5q+1
x=8p+4
8p+3=5q
least value of p that makes q an integer is 4
p=4; q=7; x=36
40-36=4
B
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52385
Re: when a positive integer X is divided by 5 the remainder is 1.  [#permalink]

Show Tags

New post 23 Jan 2018, 19:41
1
selim wrote:
when a positive integer X is divided by 5 the remainder is 1. when X is divided by 8 the remainder is 4 . what is the smallest positive integer y such that, (X+Y) is divisible by 40 ?

a)3
b)4
c)9
d)13
e) none of these

looking for short-cut solution.


This is a copy of the following OG question: when-positive-integer-n-is-divided-by-5-the-remainder-is-166831.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

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

GMAT Club Bot
Re: when a positive integer X is divided by 5 the remainder is 1. &nbs [#permalink] 23 Jan 2018, 19:41
Display posts from previous: Sort by

when a positive integer X is divided by 5 the remainder is 1.

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


Copyright

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®.