Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 01 Sep 2016
Posts: 189

When the positive integer M is divided by the positive integer y, the
[#permalink]
Show Tags
17 Sep 2017, 09:46
Question Stats:
38% (02:40) correct 62% (02:42) wrong based on 60 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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!



Intern
Joined: 29 Jun 2014
Posts: 32

Re: When the positive integer M is divided by the positive integer y, the
[#permalink]
Show Tags
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 SMA510F using GMAT Club Forum mobile app



Manager
Joined: 01 Sep 2016
Posts: 189

Re: When the positive integer M is divided by the positive integer y, the
[#permalink]
Show Tags
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 SMA510F using GMAT Club Forum mobile appMy 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!



Current Student
Joined: 02 Jul 2017
Posts: 291
Concentration: Entrepreneurship, Technology

Re: When the positive integer M is divided by the positive integer y, the
[#permalink]
Show Tags
17 Sep 2017, 10:58
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



Intern
Joined: 29 Jun 2014
Posts: 32

Re: When the positive integer M is divided by the positive integer y, the
[#permalink]
Show Tags
17 Sep 2017, 11:04
[SMILING FACE WITH SMILING EYES]pretty sue wnt make dat mistake ever again...thnx a ton Sent from my SMA510F using GMAT Club Forum mobile app



VP
Joined: 07 Dec 2014
Posts: 1222

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



NonHuman User
Joined: 09 Sep 2013
Posts: 13168

Re: When the positive integer M is divided by the positive integer y, the
[#permalink]
Show Tags
11 Feb 2019, 20:46
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: When the positive integer M is divided by the positive integer y, the
[#permalink]
11 Feb 2019, 20:46






