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

It is currently 16 Jan 2019, 04:12

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If P represents a single digit in the four digit number x=17P6, how ma

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

Hide Tags

 
Retired Moderator
avatar
Joined: 29 Apr 2015
Posts: 842
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
GMAT ToolKit User Premium Member
If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 11 Aug 2015, 13:20
2
9
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:26) correct 40% (01:17) wrong based on 164 sessions

HideShow timer Statistics

If P represents a single digit in the four digit number x=17P6, how many different values of P are there such that x is divisible by 8?

A. 0
B. 1
C. 2
D. 3
E. 4

_________________

Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.

CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2639
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 11 Aug 2015, 13:30
1
2
reto wrote:
If P represents a single digit in the four digit number x=17P6, how many different values of P are there such that x is divisible by 8?

A. 0
B. 1
C. 2
D. 3
E. 4


Recognise that the p[ossible values are : 1706 , 1716, 1726....1796.

Now, 1706 is NOT divisble by 8 and thus this also rules out 1746 and 1786 as well (1746-1706 =40 a multiple of 8, so if 1706 is not divisble by 8 then 1706 + multiple of 8 will not be divisble by 8).

Similarly, 1716 is not divisible by 8 and thus this eliminates 1756 and 1796 as well.

1726 is not divisible by 8 ---> eliminate 1766

Remaining values, 1736 and 1776 are both divisible by 8 . Hence C,2 is the correct answer.
Intern
Intern
avatar
Joined: 29 Mar 2015
Posts: 22
If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post Updated on: 22 Sep 2015, 16:34
2
A number is divisble by 8 if the last three digits of that number are divisible by 8.

Without much thinking we know that 720 is a multiple of 8.

From there it is obvious that 706, 716, 726, 746, 756, 786, and 796 are not multiples of/divisible by 8.

We're left with 736 and 776 - hence the answer is C.

Originally posted by Marchewski on 29 Aug 2015, 04:35.
Last edited by Marchewski on 22 Sep 2015, 16:34, edited 1 time in total.
Manager
Manager
User avatar
Joined: 26 Nov 2014
Posts: 91
Reviews Badge
If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 22 Sep 2015, 09:56
when checking from 1706, 1716, 1726, 1736, we got that 1736 is divisible by 8. we know the unit digit is 6, so we need to add a no which should be multiple of 8 and after adding that, it must have the same unit digit 6. so add 40 with 1736, as 40 is one of the multiples of 8, which will give the ans in a required unit digit also a multiple of 8.

Ans C.
Senior Manager
Senior Manager
User avatar
B
Joined: 05 Apr 2015
Posts: 374
Reviews Badge
Re: If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 23 Sep 2015, 04:03
Hi,

Start with 1706. The remainder is 2. Hence 1704 is divisible.

Now if we add... 2 to the units digit of 1704(number divisible).. the units digit of the 4 digit number will be 6.

We know 32 is divisible by 8.. Hence 1736 is divisible.. Similarly add.. 72..

Hence answer is C.

Regards,
Dom.
Manager
Manager
avatar
Joined: 24 May 2013
Posts: 79
GMAT ToolKit User
If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 28 Mar 2016, 06:42
2
If P represents a single digit in the four digit number x=17P6, how many different values of P are there such that x is divisible by 8?

Method1:
x/8=17P6/8= 1000/8+700/8+10P/8+6/8 = 125+ 87+ 4/8 + 2p/8 +6/8

=Some value+ (4+6)/8 + 2p/8 = some value + (2+2p)/8 => divisible by 8 for p=3 and p=7. Therefore 2 is the answer.

Method2: the last three digits must be divisible by 8
7P6
8*2=16
8*7=56
We have 6 only in these two terms.
Therefore two is the answer.
Intern
Intern
avatar
B
Joined: 03 Sep 2018
Posts: 39
If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 20 Dec 2018, 09:02
All the above solutions are too time consuming.

The best solution:

Rule for 8: N is divisible by 8 if its last three digits in conjunction are.

Hence, we take 7P6. We intuitively know that 72*10 is divisible by 8. We also know that the only two products of 8 which have a 6 as unit digit are 16 and 56. Hence, we add those numbers to 720 and move on.
_________________

Please consider giving Kudos if my post contained a helpful reply or question.

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1150
Re: If P represents a single digit in the four digit number x=17P6, how ma  [#permalink]

Show Tags

New post 20 Dec 2018, 20:46
reto wrote:
If P represents a single digit in the four digit number x=17P6, how many different values of P are there such that x is divisible by 8?

A. 0
B. 1
C. 2
D. 3
E. 4


1700/8 leaves a remainder of 4
so, in order for x to be divisible by 8,
P6/8 must also leave a remainder of 4
only 36 and 76 do this
2
C
GMAT Club Bot
Re: If P represents a single digit in the four digit number x=17P6, how ma &nbs [#permalink] 20 Dec 2018, 20:46
Display posts from previous: Sort by

If P represents a single digit in the four digit number x=17P6, how ma

  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®.