It is currently 19 Nov 2017, 00:10

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

Events & Promotions in June
Open Detailed Calendar

When the positive integer M is divided by the positive integer y, the

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

Hide Tags

Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 208

Kudos [?]: 184 [0], given: 33

GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge CAT Tests
When the positive integer M is divided by the positive integer y, the [#permalink]

Show Tags

New post 17 Sep 2017, 09:46
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

38% (02:06) correct 62% (02:37) wrong based on 39 sessions

HideShow timer Statistics

When the positive integer M is divided by the positive integer y, the quotient is 11 and the remainder is z. When you divide z by y, the remainder is 9. Which of the following could be the value of M ?

1. 108
2. 119
3. 20
4. 30

A) 1, 2 and 3
b) 1 and 2 only
c) 3 only
d) 1, 2, 3 and 4
e) 2 only
[Reveal] Spoiler: OA

_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Kudos [?]: 184 [0], given: 33

Intern
Intern
avatar
B
Joined: 29 Jun 2014
Posts: 22

Kudos [?]: 1 [0], given: 33

Re: When the positive integer M is divided by the positive integer y, the [#permalink]

Show Tags

New post 17 Sep 2017, 10:13
Answer is A .1 2 3 :solution...M/y= 11 +z/y...z/y =9...So m = 11y + 9...choose y =1, 9,10

Sent from my SM-A510F using GMAT Club Forum mobile app

Kudos [?]: 1 [0], given: 33

Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 208

Kudos [?]: 184 [0], given: 33

GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge CAT Tests
Re: When the positive integer M is divided by the positive integer y, the [#permalink]

Show Tags

New post 17 Sep 2017, 10:18
vishwajeet2015 wrote:
Answer is A .1 2 3 :solution...M/y= 11 +z/y...z/y =9...So m = 11y + 9...choose y =1, 9,10

Sent from my SM-A510F using GMAT Club Forum mobile app



My friend that's wrong. You did the logic right, but missed an important fundamental. Do you want to give it another shot? Let me know and I ll post the explanation if you need. Thanks
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Kudos [?]: 184 [0], given: 33

2 KUDOS received
Senior Manager
Senior Manager
User avatar
G
Joined: 02 Jul 2017
Posts: 269

Kudos [?]: 80 [2], given: 65

Location: India
GMAT ToolKit User CAT Tests
Re: When the positive integer M is divided by the positive integer y, the [#permalink]

Show Tags

New post 17 Sep 2017, 10:58
2
This post received
KUDOS
1
This post was
BOOKMARKED
Tricky one if we miss the basics. Find below detailed explanation

When the positive integer M is divided by the positive integer y, the quotient is 11 and the remainder is z. => \(M =11y+z\)
=> Here \(z < y\) (That's the case only then reminder can be z)

When you divide z by y, the remainder is 9. => as \(z < y\) and when z is divided by y remainder is 9 => \(z=9\)

So our equation is \(M =11y +9\) for \(z<y\)

Which of the following could be the value of M ?
So lets write all the numbers in form of above equation. If it satisfies the equation than value can be equal to M
So general steps for such kind of questions : Subtract 9 from number and see if its a multiple of 11. if condition satisfies then number can be value of M


1. 108
=> 108 - 9 =99 so as 99 is multiple of 11 this can be our answer. Wrong
Lets write it in equation form : 108 = 11*9 +9 . So if we compare it with M=11y + z => y=z=9 not possible as z<y always
So this value is not M

2. 119
=> 119 - 9 =110 so as 110 is multiple of 11 this can be our answer.
Lets write it in equation form : 119 = 11*10 +9 . So if we compare it with M=11y + z => y=10 and z =9 => z<y satisfies our equation
So this can be value of M

3. 20
=> 20 - 9 =11 so as 11 is multiple of 11 this can be our answer. Wrong
Lets write it in equation form : 20 = 11*1 +9 . So if we compare it with M=11y + z => y=1 and z =9 => z>y. This can't be true as by our equation z<y always
So this value is not M

4. 30
=> 30 -9 =21 This cant be written in multiple of 11.
So this value is not M

A) 1, 2 and 3
b) 1 and 2 only
c) 3 only
d) 1, 2, 3 and 4
e) 2 only

Answer: E

Kudos [?]: 80 [2], given: 65

Intern
Intern
avatar
B
Joined: 29 Jun 2014
Posts: 22

Kudos [?]: 1 [0], given: 33

Re: When the positive integer M is divided by the positive integer y, the [#permalink]

Show Tags

New post 17 Sep 2017, 11:04
[SMILING FACE WITH SMILING EYES]pretty sue wnt make dat mistake ever again...thnx a ton

Sent from my SM-A510F using GMAT Club Forum mobile app

Kudos [?]: 1 [0], given: 33

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 836

Kudos [?]: 265 [0], given: 15

Re: When the positive integer M is divided by the positive integer y, the [#permalink]

Show Tags

New post 17 Sep 2017, 20:44
bkpolymers1617 wrote:
When the positive integer M is divided by the positive integer y, the quotient is 11 and the remainder is z. When you divide z by y, the remainder is 9. Which of the following could be the value of M ?

1. 108
2. 119
3. 20
4. 30

A) 1, 2 and 3
b) 1 and 2 only
c) 3 only
d) 1, 2, 3 and 4
e) 2 only


if remainder is less than divisor,
then y>9
let y=10
M=10*11=110+z
only option>110 is 119
E

Kudos [?]: 265 [0], given: 15

Re: When the positive integer M is divided by the positive integer y, the   [#permalink] 17 Sep 2017, 20:44
Display posts from previous: Sort by

When the positive integer M is divided by the positive integer y, the

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.