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

It is currently 21 Oct 2019, 23:12

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

When a positive integer "l" is divided by a positive integer "k", the

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

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 189
GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge
When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

Show Tags

New post 17 Sep 2017, 08:04
7
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (02:09) correct 39% (02:22) wrong based on 66 sessions

HideShow timer Statistics

When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3

_________________
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
avatar
S
Joined: 22 Apr 2017
Posts: 106
Location: India
GMAT 1: 620 Q46 V30
GMAT 2: 620 Q47 V29
GMAT 3: 630 Q49 V26
GMAT 4: 690 Q48 V35
GPA: 3.7
GMAT ToolKit User
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

Show Tags

New post 17 Sep 2017, 08:27
3
bkpolymers1617 wrote:
When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3


K>13, a>34, z>101 as per quotient & remainder property.
Hence min value for K is 14, A is 35 & Z is 102 Hence, possible value for K+A+Z = 151(14+35+102). Hence D.
Manager
Manager
User avatar
G
Joined: 01 Sep 2016
Posts: 189
GMAT 1: 690 Q49 V35
GMAT ToolKit User Reviews Badge
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

Show Tags

New post 17 Sep 2017, 09:39
ManishKM1 wrote:
bkpolymers1617 wrote:
When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3


K>13, a>34, z>101 as per quotient & remainder property.
Hence min value for K is 14, A is 35 & Z is 102 Hence, possible value for K+A+Z = 151(14+35+102). Hence D.



Yes, that's correct my friend :)
_________________
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!
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: When a positive integer "l" is divided by a positive integer "k", the  [#permalink]

Show Tags

New post 06 Feb 2019, 23:35
bkpolymers1617 wrote:
When a positive integer "l" is divided by a positive integer "k", the remainder is 13. When the positive integer "r" is divided by a positive integer "a", the remainder is 34 and finally when the positive integer "g" is divided by "z", the remainder is 101. Which of the following is a possible value of k + a + z ?

1. 148
2. 150
3. 151

a) 1 and 2
b) 2 and 3
c) 1 and 3
d) 3 only
e) 1, 2 and 3


Since division by k gives remainder 13, k >= 14
Since division by a gives remainder 34, a >= 35
Since division by z gives remainder 101, z >= 102

So k + a + z >= 14 + 35 + 102

k + a + z >= 151

So of the given values, only 151 satisfies this condition.

Answer (D)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT Club Bot
Re: When a positive integer "l" is divided by a positive integer "k", the   [#permalink] 06 Feb 2019, 23:35
Display posts from previous: Sort by

When a positive integer "l" is divided by a positive integer "k", the

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





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