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

It is currently 23 Feb 2019, 15:07

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 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.
  • 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

In the decimal representation of d, where 0 < d < 1, is the tenths’ di

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
In the decimal representation of d, where 0 < d < 1, is the tenths’ di  [#permalink]

Show Tags

New post 09 Oct 2018, 02:05
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

47% (02:13) correct 53% (02:05) wrong based on 23 sessions

HideShow timer Statistics

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 890
Re: In the decimal representation of d, where 0 < d < 1, is the tenths’ di  [#permalink]

Show Tags

New post 09 Oct 2018, 02:41
1
1
Bunuel wrote:
In the decimal representation of d, where 0 < d < 1, is the tenths’ digit of d greater than 0?

(1) 12d is an integer.
(2) 6d is an integer.


The answer is B.

(1) Since we are checking if d is greater than something, we'll start by checking the minimum: Let's say 12d=1 ==> d=1/12 ==> d<0.1 - the tenth's digit will be zero. the answer is no.
But now let's try a larger integer: say 12d=6 ==> d=0.5 - tenth's digit is 5 - the answer is yes.
we've used the data to produce two contradictory solutions - insufficient! eliminate answers A & D

2) similarly, let's start with the minimum: 6d=1 ==> d = 1/6 = ~0.16 - the tenths digit is 1 - the answer is yes. and since this is the minimum, any other integer will only give us a larger value for d. therefore, the answer is definitely yes - sufficient! eliminate C & E - B is our answer!
_________________

Image
Sign up for 7-day free trial
Image

Manager
Manager
avatar
S
Joined: 10 Jan 2013
Posts: 172
Location: India
Concentration: General Management, Strategy
GMAT 1: 600 Q43 V30
GPA: 3.95
GMAT ToolKit User Reviews Badge
Re: In the decimal representation of d, where 0 < d < 1, is the tenths’ di  [#permalink]

Show Tags

New post 09 Oct 2018, 20:57
Bunuel wrote:
In the decimal representation of d, where 0 < d < 1, is the tenths’ digit of d greater than 0?

(1) 12d is an integer.
(2) 6d is an integer.

chetan2u - your approach plz
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7335
Premium Member Reviews Badge
Re: In the decimal representation of d, where 0 < d < 1, is the tenths’ di  [#permalink]

Show Tags

New post 09 Oct 2018, 21:55
2
saurabh9gupta wrote:
Bunuel wrote:
In the decimal representation of d, where 0 < d < 1, is the tenths’ digit of d greater than 0?

(1) 12d is an integer.
(2) 6d is an integer.

chetan2u - your approach plz


what is tenths digit
0.xy here x is tenths digit

(1) 12d is an integer.
so \(12d=x.....d=\frac{x}{12}\)
case I :- x is 1
\(d=\frac{1}{12}\) Now \(\frac{1}{10}>\frac{1}{12}\).......\(0.1>\frac{1}{12}\) there fore d = 0.0rst
yes, tenths digit is 0
case I :- x is 6
\(d=\frac{6}{12}=\frac{1}{2}=0.5\)
no, tenths digit is not 0 but 5
insuff

(2) 6d is an integer.
so \(6d=x.....d=\frac{x}{6}\)
Min value of d when :- x is 1
\(d=\frac{1}{6}\) Now \(\frac{1}{10}<\frac{1}{6}\).......\(0.1<\frac{1}{6}\) therefore d = 0.rst
yes, tenths digit is always>0
suff

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
Re: In the decimal representation of d, where 0 < d < 1, is the tenths’ di  [#permalink]

Show Tags

New post 10 Oct 2018, 01:35
Bunuel wrote:
In the decimal representation of d, where 0 < d < 1, is the tenths’ digit of d greater than 0?

(1) 12d is an integer.
(2) 6d is an integer.


1) 12d is an integer that means d is in the form of 1/2, 1/3, 1/4, 1/6, 1/12

The tenths digit in \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{4}\) and \(\frac{1}{6}\) is >0

1/12 units digit = 0

Insufficient.

2)
6d is an integer means d is in the form of \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{4}\) and \(\frac{1}{6}\)

each of which the units digit is >0

Sufficient

B
GMAT Club Bot
Re: In the decimal representation of d, where 0 < d < 1, is the tenths’ di   [#permalink] 10 Oct 2018, 01:35
Display posts from previous: Sort by

In the decimal representation of d, where 0 < d < 1, is the tenths’ di

  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®.