NEW HERE? LEARN MORE
closeclose
It is currently 30 Sep 2023, 14:57
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

If $ represents a digit in the 7-digit number 3,62$,215, what is the

7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 89505
CAT Tests Forum Quiz Mode
If $ represents a digit in the 7-digit number 3,62$,215, what is the [#permalink] New post  11 Dec 2014, 07:08
2
Kudos
18
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

80% (01:45) correct 20% (01:39) wrong based on 929 sessions

Hide Show timer Statistics

If $ represents a digit in the 7-digit number 3,62$,215, what is the value of $?

(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number


Show Spoiler
If □◻ represents a digit in the 7-digit number 3,62 □◻ ,215,
what is the value of □◻?

(1) The sum of the 7 digits is equal to 4 times an integer.

(2) The missing digit is different from any of the other
digits in the number.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
DangerPenguin
Manager
Manager
Joined: 10 Sep 2014
Posts: 92
Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the [#permalink] New post  11 Dec 2014, 10:02
2
Kudos
To be divisible by 4, the sum of digits must be divisible by 2 twice. Without integer $, the sum of digits is 19.

statement 1: insufficient
19 + ? = a number that is divisible by 4
$ could be 1, 5, or 9. not enough info

statement 2: insufficient
$ could be 0, 4, 7, 8, 9

statement 1+2: sufficient
Together, we know that $ must be 9!

Answer C!
avatar
damham17
Intern
Intern
Joined: 06 Mar 2012
Posts: 32
GMAT ToolKit User
Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the [#permalink] New post  12 Dec 2014, 17:35
1
Kudos
Statement 1:

What $ would make the sum a multiple of 4?
$ could be 1, 5, or 9

As such, S1 is insufficient.

Statement 2:
This results in the possibility of 0, 4, 7, 8, and 9.

As such, S2 is insufficient.

Combined (S1 and S2):

9 would the be number. As such, the answer choice is C.
User avatar
L
u1983
Current Student
Joined: 24 Aug 2016
Posts: 736
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
GMAT ToolKit User Reviews Badge
Re: If [m]\square[/m] represents a digit in the 7-digit number [#permalink] New post  23 Nov 2018, 10:11
4
Kudos
adkikani wrote:

Project DS Butler: Day 18: Data Sufficiency (DS36)


For DS butler Questions Click Here


If \(\square\) represents a digit in the 7-digit number 3,62 \(\square\) ,215,
what is the value of \(\square\)?

(1) The sum of the 7 digits is equal to 4 times an integer.

(2) The missing digit is different from any of the other
digits in the number.


1) Not Sufficient : current sum is 19 . So the number can assume 1,5, or 9 to satisfy the statement :The sum of the 7 digits is equal to 4 times an integer.
2) Not Sufficient : Missing digits are :0,4,7,8, and 9
1+2) Sufficient : There is a common element in the 2 aforementioned sets. i.e., 9
Hence Ans C.
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Signature Read More
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1730
Location: United States
Re: If [m]\square[/m] represents a digit in the 7-digit number [#permalink] New post  12 Sep 2019, 09:33
2
Kudos
1
Bookmarks
adkikani wrote:
If \(\square\) represents a digit in the 7-digit number 3,62 \(\square\) ,215,
what is the value of \(\square\)?

(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number.


7-digit: 362x215 where x={0,1,2,3,4,5,6,7,8,9}

(1) The sum of the 7 digits is equal to 4 times an integer: insufic.
sum(3,6,2,2,1,5,x)=19+x=4m… m=19+x/4… 19+x must be a factor of 4: {20,24,28…}, so x={1,5,9}

(2) The missing digit is different from any of the other digits in the number: insufic.
used={3,6,2,1,5} x={4,6,7,8,9}

(1&2): x={1,5,9} but used={3,6,2,1,5}, so x={9}; sufficient.

Answer (C)
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6881
Location: Canada
Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the [#permalink] New post  22 Mar 2022, 10:03
1
Kudos
1
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:

Tough and Tricky questions: Word Problems.



If $ represents a digit in the 7-digit number 3,62$,215, what is the value of $?

(1) The sum of the 7 digits is equal to 4 times an integer.
(2) The missing digit is different from any of the other digits in the number

Given: $ represents a digit in the 7-digit number 3,62$,215

Target question: What is the value of $?

Statement 1: The sum of the 7 digits is equal to 4 times an integer.
In other words, the sum is a multiple of 4.
We have: 3 + 6 + 2 + $ + 2 + 1 + 5 = 19 + $
19 + $ will be a multiple of 4 when $ = 1, 5 or 9
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The missing digit is different from any of the other digits in the number
In other words, $ cannot equal 3, 6, 2, 1 or 5, which means $ COULD equal 0, 4, 7, 8, or 9
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that $ could equal 1, 5 or 9
Statement 2 tells us that $ could equal 0, 4, 7, 8, or 9
The only value that satisfies both statements is $ = 9
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,
Brent
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 29541
Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the [#permalink] New post  27 Mar 2023, 00:23
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: If $ represents a digit in the 7-digit number 3,62$,215, what is the [#permalink]
27 Mar 2023, 00:23
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
89505 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions