Find all School-related info fast with the new School-Specific MBA Forum

It is currently 01 Aug 2014, 23:21

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Each digit in the two-digit number G is halved to form a new

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 07 Apr 2012
Posts: 127
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Followers: 0

Kudos [?]: 7 [0], given: 45

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 20:24
Bunuel wrote:
u2lover wrote:
Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H?

A. 153
B. 150
C. 137
D. 129
E. 89


Two-step solution:

G + G/2 = 3G/2 --> the sum is a multiple of 3.

G is a two-digit number --> G < 100 --> 3G/2 < 150.

Among the answer choices the only multiple of 3 which is less than 150 is 129.

Answer: D.


What could be the minimum number ?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18861
Followers: 3279

Kudos [?]: 22986 [0], given: 2653

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 22:51
Expert's post
ygdrasil24 wrote:
Bunuel wrote:
u2lover wrote:
Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H?

A. 153
B. 150
C. 137
D. 129
E. 89


Two-step solution:

G + G/2 = 3G/2 --> the sum is a multiple of 3.

G is a two-digit number --> G < 100 --> 3G/2 < 150.

Among the answer choices the only multiple of 3 which is less than 150 is 129.

Answer: D.


What could be the minimum number ?


Assuming G is a positive number, the least value of G+G/2 will be 20+10=30. G must be even and cannot be less that 20. If it's an even number less than 20, then G/2 will not be a two-digit number.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 07 Apr 2012
Posts: 127
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Followers: 0

Kudos [?]: 7 [0], given: 45

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 23:08
What could be the minimum number ?[/quote]

Assuming G is a positive number, the least value of G+G/2 will be 20+10=30. G must be even and cannot be less that 20. If it's an even number less than 20, then G/2 will not be a two-digit number.

Hope it's clear.[/quote] Yes it is thanks :)

So basically G ranges from 20 to 198 for all G >0
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18861
Followers: 3279

Kudos [?]: 22986 [0], given: 2653

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 23:12
Expert's post
Manager
Manager
avatar
Joined: 07 Apr 2012
Posts: 127
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Followers: 0

Kudos [?]: 7 [0], given: 45

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 23:21
Bunuel wrote:
ygdrasil24 wrote:
Yes it is thanks :)

So basically G ranges from 20 to 198 for all G >0


No. G must also be a two digit number, so it ranges from 20 to 88.

Hmm... blunder as always :(

By the way why cant G(max) be 98 , H(max) be 49 in that case
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18861
Followers: 3279

Kudos [?]: 22986 [0], given: 2653

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 23:23
Expert's post
ygdrasil24 wrote:
Bunuel wrote:
ygdrasil24 wrote:
Yes it is thanks :)

So basically G ranges from 20 to 198 for all G >0


No. G must also be a two digit number, so it ranges from 20 to 88.

Hmm... blunder as always :(

By the way why cant G(max) be 98 , H(max) be 49 in that case


We are told that EACH digit in the two-digit number G is halved, thus both digits of G must be even.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 07 Apr 2012
Posts: 127
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Followers: 0

Kudos [?]: 7 [0], given: 45

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 05 Sep 2013, 23:26
By the way why cant G(max) be 98 , H(max) be 49 in that case[/quote]

We are told that EACH digit in the two-digit number G is halved, thus both digits of G must be even.[/quote]

Hmmm..Okay under even constraint G max =88, Thanks
Intern
Intern
avatar
Joined: 23 Jul 2013
Posts: 22
Followers: 0

Kudos [?]: 3 [0], given: 63

GMAT ToolKit User
Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 10 Sep 2013, 21:03
I followed the approach as :-

Multiplied each number with 2/3 and saw only 129 gives a 2 digit number i.e 43+86 which is possible,

for all of the rest number it gives a 3 digit number or is not multiple of 3.

Thanks
Senior Manager
Senior Manager
User avatar
Joined: 03 Dec 2012
Posts: 367
Followers: 0

Kudos [?]: 29 [0], given: 291

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 21 Nov 2013, 05:08
Let G be XX. Let H be x/2 x/2. G+H= 3 () Its a multiple of 3. Only two numbers fit the bill 153 and 129. 153/3 = 51 ( not possible because G is a two digit number and 51 is half of 102). Hence (D) 129.
Intern
Intern
avatar
Joined: 02 Mar 2010
Posts: 15
Followers: 0

Kudos [?]: 8 [0], given: 16

GMAT ToolKit User CAT Tests
Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 04 Mar 2014, 16:14
Let H be the 2-digit number xy (actually 10x+y). Then G must be 2x2y (actually 10(2x) + 2y or 2(10x+y). In other words, the digits of G must be even single-digit numbers. The maximum value of G can be 88 and thereby H can be 44.
Therefore, maximum value of G+H = 132. Therefore, A & B are out.
Now G+H = 3(10x+y) implies, G+H must be a multiple of 3. Only D among the remaining answer choices is a multiple of 3. So D is the answer.
Director
Director
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 687
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 4

Kudos [?]: 159 [0], given: 162

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 04 Mar 2014, 18:45
Maximum largest number = 88 + 44 = 132, so options A,B & C are eliminated

Number should be divisible by 3 (for ex a + a/2 = 3a/2)

129 > Divisible by 3 >>>>>>>>>>>> Answer = D
89 > Not divisible by 3
_________________

Kindly press "+1 Kudos" to appreciate :)

Director
Director
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 687
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 4

Kudos [?]: 159 [0], given: 162

Re: Each digit in the two-digit number G is halved to form a new [#permalink] New post 04 Mar 2014, 18:48
prsnt11 wrote:
Let H be the 2-digit number xy (actually 10x+y). Then G must be 2x2y (actually 10(2x) + 2y or 2(10x+y). In other words, the digits of G must be even single-digit numbers. The maximum value of G can be 88 and thereby H can be 44.
Therefore, maximum value of G+H = 132. Therefore, A & B are out.
Now G+H = 3(10x+y) implies, G+H must be a multiple of 3. Only D among the remaining answer choices is a multiple of 3. So D is the answer.



C is also eliminated
_________________

Kindly press "+1 Kudos" to appreciate :)

Re: Each digit in the two-digit number G is halved to form a new   [#permalink] 04 Mar 2014, 18:48
    Similar topics Author Replies Last post
Similar
Topics:
19 Experts publish their posts in the topic A five digit number is to be formed using each of the digits arakban99 8 05 Sep 2013, 21:29
3 Experts publish their posts in the topic What is the two-digit number N? monikaleoster 8 03 Nov 2012, 07:48
If the sum of the digits of the positive two-digit number x FN 2 07 Mar 2009, 14:31
Experts publish their posts in the topic If a and b are the digits of the two-digit number X, what is applecrisp 3 01 Dec 2007, 20:56
Each digit in the two-digit number G is halved to form a new yezz 10 07 Sep 2006, 02:40
Display posts from previous: Sort by

Each digit in the two-digit number G is halved to form a new

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page   Previous    1   2   [ 32 posts ] 



GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.