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

 It is currently 30 Aug 2016, 20:16

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# For the four-digit number ABCD , where A, B, C, and D all

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

### Hide Tags

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 157

Kudos [?]: 1562 [7] , given: 376

For the four-digit number ABCD , where A, B, C, and D all [#permalink]

### Show Tags

15 May 2011, 15:01
7
KUDOS
6
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

35% (02:31) correct 65% (01:59) wrong based on 139 sessions

### HideShow timer Statistics

For the four-digit number $$ABCD$$, where $$A, B, C,$$ and $$D$$ all represent unique digits, what is the value of $$B$$?

(1) $$ABCD$$ rounded to the nearest hundred is $$CD00$$.
(2) $$B > C + D$$
[Reveal] Spoiler: OA
Manager
Status: GMAT in 4 weeks
Joined: 28 Mar 2010
Posts: 184
GPA: 3.89
Followers: 1

Kudos [?]: 119 [0], given: 25

Re: Rounding integers [#permalink]

### Show Tags

15 May 2011, 20:19
I think statment 1 is sufficient.
Cause While rounding off ABCD to the nearest hundred digit should take it to A(B+1)00 eg: 4950
But here we see a case where it becomes CD00 ==> (A+1)000 eg: 5000
The thousand digit is also changing means B=9 and A=C+1 and D=0
Hence it can be implied that B has to be 9

Stament 2 alone does not give any information on B
_________________

If you liked my post, please consider a Kudos for me. Thanks!

VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 17

Kudos [?]: 218 [0], given: 10

Re: Rounding integers [#permalink]

### Show Tags

15 May 2011, 20:53
Does unique digits mean different digits ?

However, Considering the digits are not different.

a ABCD = 1212 | 2727 | 2930 will give different values for B. not sufficient.

b no values for B>C+D can be 3421 or 4741 . not sufficient.

a+b gives 6970 | 5960 or so where the B = 9 always.

Hence C.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Last edited by amit2k9 on 16 May 2011, 00:01, edited 1 time in total.
Senior Manager
Joined: 24 Mar 2011
Posts: 457
Location: Texas
Followers: 5

Kudos [?]: 133 [0], given: 20

Re: Rounding integers [#permalink]

### Show Tags

15 May 2011, 22:38
i think answer is A. 1st statement should be sufficient. Since its given that all digits are unique, B has to be 9. ex - 2930, 3940, 4950, 5960, etc.

B is not sufficient. C & D could be 1 & 2 resp and B can be than 4,5,6 etc.
Current Student
Joined: 26 May 2005
Posts: 565
Followers: 18

Kudos [?]: 195 [0], given: 13

Re: Rounding integers [#permalink]

### Show Tags

15 May 2011, 23:15
amit2k9 wrote:
Does unique digits mean different digits ?

However, Considering the digits are not different.

a ABCD = 1212 | 2727 | 2930 will give different values for B. not sufficient.

b no values for B>C+D can be 3421 or 4741 . not sufficient.

a+b gives 2930 | 8970 or so where the B = 9 always.

Hence C.

Hi Amit,
Are you sure 2930 rounds off to 3000 for nearest 100?
I think it will round off to 2900.
and it cant 8970 .. it has to be 8990( in your example) but its not a good number because b> c+d
The numbers should be 4950, 5960, 6970 and 7980
Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 920
Followers: 13

Kudos [?]: 315 [0], given: 123

Re: Rounding integers [#permalink]

### Show Tags

15 May 2011, 23:30
Yeppers A is the answer.
Senior Manager
Joined: 12 Dec 2010
Posts: 282
Concentration: Strategy, General Management
GMAT 1: 680 Q49 V34
GMAT 2: 730 Q49 V41
GPA: 4
WE: Consulting (Other)
Followers: 9

Kudos [?]: 45 [0], given: 23

Re: Rounding integers [#permalink]

### Show Tags

16 May 2011, 18:58
agdimple333 wrote:
i think answer is A. 1st statement should be sufficient. Since its given that all digits are unique, B has to be 9. ex - 2930, 3940, 4950, 5960, etc.

B is not sufficient. C & D could be 1 & 2 resp and B can be than 4,5,6 etc.

I think B is required here -

A -> AB = CD+1 such as- 9798, 9091, 9596, 7273 (all these rounded to nearest 100th will give CD00 but not necessarily have "9" as B).

but here if you take into consideration B> C+D then only "9" fits the Bill. Such as- 8990, 7980, 1920, 3940...

I hope it's clear now so C is my bet!
_________________

My GMAT Journey 540->680->730!

~ When the going gets tough, the Tough gets going!

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 157

Kudos [?]: 1562 [0], given: 376

Re: Rounding integers [#permalink]

### Show Tags

16 May 2011, 19:06
yogesh1984 wrote:
agdimple333 wrote:
i think answer is A. 1st statement should be sufficient. Since its given that all digits are unique, B has to be 9. ex - 2930, 3940, 4950, 5960, etc.

B is not sufficient. C & D could be 1 & 2 resp and B can be than 4,5,6 etc.

I think B is required here -

A -> AB = CD+1 such as- 9798, 9091, 9596, 7273 (all these rounded to nearest 100th will give CD00 but not necessarily have "9" as B).

but here if you take into consideration B> C+D then only "9" fits the Bill. Such as- 8990, 7980, 1920, 3940...

I hope it's clear now so C is my bet!

A,B,C,D are unique digits remember!!!!
_________________
Manager
Joined: 16 May 2011
Posts: 204
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
Followers: 1

Kudos [?]: 65 [0], given: 37

Re: Rounding integers [#permalink]

### Show Tags

13 Aug 2011, 12:55
I HOPE I GOT IT RIGHT:
C MUST BE BIGGER THAN 5 AND D must be 0.(cd=50, 60, 70, 80, 90)
A MUST BE ONE NUMBER BELOW C TO MAKE THE ROUNDING C-D-0-0 FORM.
SO: 4950 IS ROUNDED TO 5-0-0-0
5960 to 6-0-0-0 6970 to 7-0-0-0 7980 to 8-0-0-0 and 8990 to 9-0-0-0. B will allways be 9
Intern
Joined: 29 Mar 2011
Posts: 25
Followers: 0

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

Re: Rounding integers [#permalink]

### Show Tags

13 Aug 2011, 14:59
dimri10 wrote:
I HOPE I GOT IT RIGHT:
C MUST BE BIGGER THAN 5 AND D must be 0.(cd=50, 60, 70, 80, 90)
A MUST BE ONE NUMBER BELOW C TO MAKE THE ROUNDING C-D-0-0 FORM.
SO: 4950 IS ROUNDED TO 5-0-0-0
5960 to 6-0-0-0 6970 to 7-0-0-0 7980 to 8-0-0-0 and 8990 to 9-0-0-0. B will allways be 9

Yes thats right.. Even i had this clarification but later got it right..
Director
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 145 [0], given: 7

Re: Rounding integers [#permalink]

### Show Tags

17 Aug 2011, 10:52
fluke wrote:
For the four-digit number $$ABCD$$, where $$A, B, C,$$ and $$D$$ all represent unique digits, what is the value of $$B$$?

(1) $$ABCD$$ rounded to the nearest hundred is $$CD00$$.
(2) $$B > C + D$$

Good question and good discussion.

+1.
Intern
Joined: 10 Jan 2010
Posts: 25
Followers: 0

Kudos [?]: 4 [0], given: 42

Re: Rounding integers [#permalink]

### Show Tags

24 Aug 2011, 10:14
Statement 1 seems to be the solution if we take it at its face value. However, if we really read it closely, it provides no limits on direction. Most here are rounding up only. The statement is open ended, thus we can round down as well (e.g. 3110 = 3100) . Therefore multiple solutions are available,NOT Sufficient . The answer should be E….
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6843
Location: Pune, India
Followers: 1932

Kudos [?]: 11997 [4] , given: 221

Re: Rounding integers [#permalink]

### Show Tags

25 Aug 2011, 04:43
4
KUDOS
Expert's post
1
This post was
BOOKMARKED
fluke wrote:
For the four-digit number $$ABCD$$, where $$A, B, C,$$ and $$D$$ all represent unique digits, what is the value of $$B$$?

(1) $$ABCD$$ rounded to the nearest hundred is $$CD00$$.
(2) $$B > C + D$$

Good question! This is how I arrived at the answer:

ABCD - a four digit number so A is not 0.
Statement 1: ABCD is rounded to the nearest hundred. It could become AB00 - round to the lower value or (AB+1)00 - round to the upper value. It is given that it becomes CD00. Since AB is not equal to CD (distinct digits), it must have been rounded up.
You added 1 to AB and both the digits changed. This means when you added 1 to B, there was a carryover to change A to C. So B must have been 9! Sufficient.

Statement 2: Not enough information.

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Manager
Joined: 20 Jul 2011
Posts: 152
GMAT Date: 10-21-2011
Followers: 3

Kudos [?]: 64 [0], given: 15

Re: Rounding integers [#permalink]

### Show Tags

05 Sep 2011, 08:54
**
Quote:
For the four-digit number ABCD, where A, B, C, and D all represent unique digits, what is the value of B?

(1) ABCD rounded to the nearest hundred is CD00.
(2) B > C + D

From statement 1
Considering that when ABCD is rounded to nearest hundred, it becomes CD00...
C>5 and B has to be 9 because the thousand-digit changed value as well.
---> Sufficient.

From statement 2
Doesn't give us any value to work with.
---> Insufficient.

_________________

"The best day of your life is the one on which you decide your life is your own. No apologies or excuses. No one to lean on, rely on, or blame. The gift is yours - it is an amazing journey - and you alone are responsible for the quality of it. This is the day your life really begins." - Bob Moawab

Manager
Status: Bell the GMAT!!!
Affiliations: Aidha
Joined: 16 Aug 2011
Posts: 183
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 680 Q46 V37
GMAT 2: 620 Q49 V27
GMAT 3: 700 Q49 V36
WE: Other (Other)
Followers: 5

Kudos [?]: 56 [0], given: 43

Re: Rounding integers [#permalink]

### Show Tags

01 Oct 2011, 05:42
Very good question indeed..kudos for it!
_________________

If my post did a dance in your mind, send me the steps through kudos :)

My MBA journey at http://mbadilemma.wordpress.com/

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11165
Followers: 512

Kudos [?]: 134 [0], given: 0

Re: For the four-digit number ABCD , where A, B, C, and D all [#permalink]

### Show Tags

18 Oct 2014, 07:02
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 Legend
Joined: 09 Sep 2013
Posts: 11165
Followers: 512

Kudos [?]: 134 [0], given: 0

Re: For the four-digit number ABCD , where A, B, C, and D all [#permalink]

### Show Tags

17 Mar 2016, 07:29
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.
_________________
Re: For the four-digit number ABCD , where A, B, C, and D all   [#permalink] 17 Mar 2016, 07:29
Similar topics Replies Last post
Similar
Topics:
1 If a, b, c, and d are positive numbers, and a/b=c/d, what is the value 4 17 Jul 2016, 11:32
1 Is the median of the five numbers a,b,c,d,e and e equal to d? 2 30 Jun 2016, 14:12
4 Is √abcd an integer, where a,b,c,d are all prime numbers? 8 24 Oct 2015, 00:27
27 a, b, c, d, and e are five numbers such that a≤b≤c≤d≤e and e 13 14 Nov 2012, 18:09
13 If x = 0.abcd, where a, b, c, and d each represent a nonzero 4 11 Feb 2012, 19:10
Display posts from previous: Sort by

# For the four-digit number ABCD , where A, B, C, and D all

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

 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®.