It is currently 19 Sep 2017, 05:10

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

Events & Promotions in June
Open Detailed Calendar

What is the ratio of a two-digit number and its sum of digits?

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41598

Kudos [?]: 123967 [0], given: 12070

What is the ratio of a two-digit number and its sum of digits? [#permalink]

Show Tags

New post 06 Aug 2017, 01:05
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (00:35) correct 50% (01:09) wrong based on 20 sessions

HideShow timer Statistics

Kudos [?]: 123967 [0], given: 12070

Manager
Manager
avatar
B
Joined: 02 Nov 2015
Posts: 174

Kudos [?]: 21 [0], given: 119

GMAT 1: 640 Q49 V29
Premium Member CAT Tests
Re: What is the ratio of a two-digit number and its sum of digits? [#permalink]

Show Tags

New post 06 Aug 2017, 01:48
As per I understand the question, the answer should be A.
Let us take a number XY.

Because the ratio will be minimum only when x and y are equal.

So given any equal value of X and Y the answer will always be 5.5.
I mean any two digit number can be expressed as 10x+y. Let x and y b equal.

So (10x+y)/(x+y) = 11x/2x= 5.5, which is the least value .

If I have missed something. Kindly correct me.

* Questions of Bunuel are always great and I have turned out to be a big fan of Him.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app

Kudos [?]: 21 [0], given: 119

Intern
Intern
avatar
Joined: 05 Mar 2017
Posts: 2

Kudos [?]: 0 [0], given: 1

Re: What is the ratio of a two-digit number and its sum of digits? [#permalink]

Show Tags

New post 06 Aug 2017, 02:25
I think the answer is A as the only smallest ratio will be 19/10.correct me if i am wrong.

Kudos [?]: 0 [0], given: 1

Director
Director
User avatar
G
Joined: 18 Aug 2016
Posts: 502

Kudos [?]: 125 [0], given: 120

GMAT 1: 630 Q47 V29
GMAT ToolKit User Premium Member Reviews Badge
Re: What is the ratio of a two-digit number and its sum of digits? [#permalink]

Show Tags

New post 06 Aug 2017, 03:28
Bunuel wrote:
What is the ratio of a two-digit number and its sum of digits?

(1) The ratio is the minimum possible.
(2) The number has 9 as its unit digit.


Let the ratio of 2-digit number and its sum of digit be
(10x+y)/(x+y) = 1 + (9x/(x+y)) (x cannot be 0)

(1) ratio is minimum

9x/(x+y) will be minimum if x = 1 and y = 9 i.e. 9/10 which will become 1 + 9/10 = 19/10

if x = 2 and y = 9 then ratio will be 18/11 (not minimum) and so on in all other cases it will exceed 1

Hence Sufficient

(2) y = 9
then
1+ (9x/(x+y))
but we do not know the value of x ( any digit from 1-9)

Not Sufficient

Hence A
_________________

We must try to achieve the best within us

(Please like the below page on FB)

https://www.facebook.com/DeclutterCamp

Kudos [?]: 125 [0], given: 120

Re: What is the ratio of a two-digit number and its sum of digits?   [#permalink] 06 Aug 2017, 03:28
    Similar topics Author Replies Last post
Similar
Topics:
5 EXPERTS_POSTS_IN_THIS_TOPIC What is the value of the two-digit number TU fireinbelly 5 27 Feb 2017, 00:13
23 EXPERTS_POSTS_IN_THIS_TOPIC What is the sum of the digits of two-digit positive integer M? (1) If Bunuel 7 07 Sep 2017, 04:11
1 If x is a two-digit integer and the ratio of its units digit gabriel87 5 12 Apr 2016, 06:54
7 EXPERTS_POSTS_IN_THIS_TOPIC What is the two-digit number N? monikaleoster 10 15 Jul 2017, 22:17
4 EXPERTS_POSTS_IN_THIS_TOPIC If the sum of the digits of the positive two-digit number x enigma123 12 31 May 2017, 07:55
Display posts from previous: Sort by

What is the ratio of a two-digit number and its sum of digits?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.