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

It is currently 22 Feb 2019, 16:50

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)

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

Hide Tags

 
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2799
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)  [#permalink]

Show Tags

New post 11 Oct 2018, 09:15
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:15) correct 22% (01:33) wrong based on 55 sessions

HideShow timer Statistics

Is p/7 and Integer?

1) When p is divided by 35, the remainder is 7
2) When p is divided by 6, the remainder is 1

Source: www.GMATinsight.com

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

GMATH Teacher
User avatar
G
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 772
Re: Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)  [#permalink]

Show Tags

New post 11 Oct 2018, 10:53
GMATinsight wrote:
Is p/7 and Integer?

1) When p is divided by 35, the remainder is 7
2) When p is divided by 6, the remainder is 1

Source: http://www.GMATinsight.com

\({p \over 7}\,\,\,\mathop = \limits^? \,\,\,{\mathop{\rm int}}\)

\(\left( 1 \right)\,\,p = 35M + 7\,\,,\,\,M\,\,{\mathop{\rm int}}\)

\(?\,\,\,:\,\,\,{p \over 7} = 5M + 1\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\rm{YES}}} \right\rangle \,\,\,\,\,\,\,\,\left( {5 \cdot {\mathop{\rm int}} \,\, + 1 = {\mathop{\rm int}} } \right)\)


\(\left( 2 \right)\,\,\,p = 6N + 1\,\,\,,\,\,\,N\,\,{\mathop{\rm int}} \,\,\,\,\,\,\left\{ \matrix{
\,{\rm{Take}}\,\,N = 0\,\,\, \Rightarrow \,\,\,p = 1\,\,\,\, \Rightarrow \,\,\,\,\left\langle {{\rm{NO}}} \right\rangle \,\, \hfill \cr
\,{\rm{Take}}\,\,N = 1\,\,\, \Rightarrow \,\,\,p = 7\,\,\,\, \Rightarrow \,\,\,\left\langle {{\rm{YES}}} \right\rangle \,\, \hfill \cr} \right.\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net

Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)  [#permalink]

Show Tags

New post 11 Oct 2018, 12:08
GMATinsight wrote:
Is p/7 and Integer?

1) When p is divided by 35, the remainder is 7
2) When p is divided by 6, the remainder is 1

Source: http://www.GMATinsight.com


Statement 1)

p/35 = q + 7/35

p = 35q + 7
p will always be a multiple of 7

Sufficient.

Statement 2)

p/6 = q + 1/6

p = 6q + 1

P can be a multiple of 7 if q = 1
And is not a multiple of 7 if q = 0

Two different answers.

Insufficient.

Answer choice A

Posted from my mobile device
Director
Director
User avatar
S
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 542
Location: India
Premium Member
Re: Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)  [#permalink]

Show Tags

New post 11 Oct 2018, 20:03
1
Hi,

Question: Is p/7 an (not and) integer?

That is, whether is “p” is a multiple of 7 or not?

Remainder questions are popular in GMAT, all you require to do is write down the few initial values according to the information provided and you will get to the see pattern or different values.

Statement I is sufficient:

When p is divided by 35, the remainder is 7

Using division rule, we can write the above statement as,

p = 35q + 7, where q is the quotient value.

We can write down few initial values here which satisfies the above statement.

p = 7, 42, 77, 112, etc …

We can clearly see that all the values are divisible by 7.

Because p = 35q + 7, where 35q is a multiple of 7 and also the 7 in the expression is of course divisible by 7.

So, p is divisible by 7. Statement I is sufficient.

Statement II is insufficient:

When p is divided by 6, the remainder is 1

Again, using the division rule,

We can write it as,

p = 6q + 1

So,

p = 1,7,13,20,27, 34,41,49….

We can see that, 7 and 49 are divisible by 7

But 1, 13 ,20 etc are not divisible.

So this statement is insufficient to answer the question.

So the answer is I only(Statement I alone sufficient).
_________________

GMAT Mentors
Image

GMAT Club Bot
Re: Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)   [#permalink] 11 Oct 2018, 20:03
Display posts from previous: Sort by

Is p/7 and Integer? 1) When p is divided by 35, the remainder is 7 2)

  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®.