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

It is currently 18 Nov 2019, 22:16

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

If A=0.abc, where a, b, and c are digits of A, is A greater

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 21 Apr 2011
Posts: 1
If A=0.abc, where a, b, and c are digits of A, is A greater  [#permalink]

Show Tags

New post Updated on: 03 Sep 2012, 03:12
2
10
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:36) correct 37% (01:51) wrong based on 405 sessions

HideShow timer Statistics

If A=0.abc, where a, b, and c are digits of A, is A greater than 2/3?

(1) a+b>14
(2) b+c>15

Originally posted by shrey2287 on 03 Sep 2012, 01:22.
Last edited by Bunuel on 03 Sep 2012, 03:12, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59125
Re: Value after Decimal point.  [#permalink]

Show Tags

New post 03 Sep 2012, 01:37
If A=0.abc, where a, b, and c are digits of A, is A greater than 2/3?

Is \(A>\frac{2}{3}\)? --> Is \(A>0.666...\)?

(1) a+b>14 --> since a and b are single digits, then the least value of a is 6 and in this case b must be 9 (a+b=6+9=15>14), thus the least value of A is 0.69, so more than 0.666... Sufficient.

(2) b+c>15. Clearly insufficient, since we know nothing about a.

Answer: A.

Similar questions to practice:
the-discreet-charm-of-the-ds-126962-40.html#p1039662
if-x-0-rstu-where-r-s-t-and-u-each-represent-a-nonzero-109735.html

Hope it helps.
_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59125
Re: If A=0.abc, where a, b, and c are digits of A, is A greater  [#permalink]

Show Tags

New post 24 Jun 2013, 03:17
Intern
Intern
avatar
Joined: 22 May 2013
Posts: 43
Concentration: General Management, Technology
GPA: 3.9
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: If A=0.abc, where a, b, and c are digits of A, is A greater  [#permalink]

Show Tags

New post 24 Jun 2013, 09:48
1
Bunuel wrote:
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=36
All PS Fractions/Ratios/Decimals questions: search.php?search_id=tag&tag_id=57


Question: A greater than 2/3? or A greater than 0.6666?
This is again a YES or NO, question.
Getting either will be fine for the solution.

(1) a+b>14 or a+b>=15
The possible ways for a and b how we can get this is :

a b
6 9
7 8
8 7
9 6

these are the only possible combinations as anything less than 5 will make the other 10, and well anything more then 9 will result in a 10.

anyways, from the above possible values we can see that each is >=0.6666 =>Sufficient

(2) b+c>15

Here, the main digit that we are concerned about is a as that decides if the no is >=0.666 or not
even if b=c=9, but a=1, it will be less then 0.6666
or if a=b=c=9 the in that case it will be greater.

Anyway we need some information of A => Not Sufficient.

Ans : A
_________________
PS: Like my approach? Please Help me with some Kudos. :-)
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 737
Concentration: Strategy, General Management
Re: If A=0.abc, where a, b, and c are digits of A, is A greater  [#permalink]

Show Tags

New post 27 Jul 2016, 04:20
shrey2287 wrote:
If A=0.abc, where a, b, and c are digits of A, is A greater than 2/3?

(1) a+b>14
(2) b+c>15



(1) a+b>14

let a+b=15
also
10+5
9+6
8+7
6+9
lowest possible value for a = 6
therefore, let A =0.690=690/1000 > 2/3
since lowest possible is > 2/3
Sufficient

(2) b+c>15
here a can take 1 or a 9
A=0.199 < 2/3
but
A=0.999 > 2/3

insufficient

A
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 796
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: If A=0.abc, where a, b, and c are digits of A, is A greater  [#permalink]

Show Tags

New post 27 Jul 2016, 17:56
shrey2287 wrote:
If A=0.abc, where a, b, and c are digits of A, is A greater than 2/3?

(1) a+b>14
(2) b+c>15


Question- A>2/3 or .667

1) a+b>14
The minimum possible value for a+b can be 15

lets see the minimum possible value of ab. keeping maximum value of b will give minimum value of a

b = 9, hence a=6.

these values make the expression as .69c, which is >.667

Sufficient.

(2) b+c>15
b+c= 16 (suppose)

as in option 1, let's take maximum value for c i.e 9 and minimum value for b i.e 7.

But a can be anything from 1 to 9, making .abc > or <2/3
Not Sufficient.

A is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13604
Re: If A=0.abc, where a, b, and c are digits of A, is A greater  [#permalink]

Show Tags

New post 28 Oct 2018, 11:14
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.
_________________
GMAT Club Bot
Re: If A=0.abc, where a, b, and c are digits of A, is A greater   [#permalink] 28 Oct 2018, 11:14
Display posts from previous: Sort by

If A=0.abc, where a, b, and c are digits of A, is A greater

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





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