GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 16 Jun 2021, 06:57
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
MBA Spotlight – Yale AdCom Live Q&A
Live Session


Join us for Live Q&A with Yale AdCom Team!
Llearn what matters this application season, get an update about this year's admissions process, and bring your questions! Win over $50,000 Prizes including GMAT Club Tests and Quizzes, Admissions Fee Waivers, and just get to meet other applicants! Live now on YouTube!

Go to Session Schedule
What is the hundredths digit of the decimal z?
12 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
LM
Director
Director
Joined: 03 Sep 2006
Posts: 531
GMAT ToolKit User
What is the hundredths digit of the decimal z? [#permalink] New post  Updated on: 05 Jun 2019, 03:23
8
Kudos
90
Bookmarks
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:

72% (01:28) correct 28% (01:30) wrong based on 1481 sessions

Hide Show timer Statistics

What is the hundredths digit of the decimal z?

(1) The tenths digit is 100z is 2
(2) The units digit of 1,000z is 2
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by LM on 27 Apr 2010, 09:10.
Last edited by Bunuel on 05 Jun 2019, 03:23, edited 2 times in total.
Edited the question and added the OA
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77107
Premium Member CAT Tests Top Member of the Month
Re: What is the hundredths digit of the decimal z? [#permalink] New post  28 Jan 2012, 08:04
59
Kudos
82
Bookmarks
Expert Reply
Bunuel wrote:
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)

(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.

Answer: E.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS


Similar questions to practice:
http://gmatclub.com/forum/if-the-units- ... 34501.html (OG13)
http://gmatclub.com/forum/if-n-is-an-in ... 35123.html
http://gmatclub.com/forum/if-n-is-a-pos ... 44725.html
http://gmatclub.com/forum/if-n-is-a-pos ... 54422.html
http://gmatclub.com/forum/if-a-b-and-c- ... 30419.html
http://gmatclub.com/forum/is-the-positi ... 43505.html
http://gmatclub.com/forum/if-1-d-2-is-t ... 31532.html
http://gmatclub.com/forum/if-k-is-a-pos ... 00041.html
http://gmatclub.com/forum/if-x-0-abcd-w ... 27399.html
http://gmatclub.com/forum/if-x-0-rstu-w ... 09735.html
http://gmatclub.com/forum/what-is-the-h ... 93374.html
http://gmatclub.com/forum/what-is-the-h ... 28272.html
http://gmatclub.com/forum/what-is-the-h ... 26671.html
http://gmatclub.com/forum/is-the-hundre ... 02268.html
http://gmatclub.com/forum/what-is-the-t ... 01570.html
http://gmatclub.com/forum/what-is-the-h ... 01455.html
http://gmatclub.com/forum/if-a-is-a-pos ... 09036.html
http://gmatclub.com/forum/if-d-represen ... 16821.html
http://gmatclub.com/forum/in-the-decima ... 99281.html
http://gmatclub.com/forum/if-digit-h-is ... 01957.html
http://gmatclub.com/forum/if-t-denotes- ... 38297.html
http://gmatclub.com/forum/if-1-d-2-is-t ... 31532.html
http://gmatclub.com/forum/if-z-is-a-thr ... 69999.html
_________________
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
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77107
Premium Member CAT Tests Top Member of the Month
Re: What is the hundredths digit of the decimal z? [#permalink] New post  28 Apr 2010, 09:58
23
Kudos
30
Bookmarks
Expert Reply
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)

(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.

Answer: E.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
_________________
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
General Discussion
avatar
boyanshmorhun
Intern
Intern
Joined: 18 Jun 2013
Posts: 7
Re: What is the hundredths digit of the decimal z? [#permalink] New post  12 Jan 2014, 06:16
1
Kudos
Bunuel wrote:
Bunuel wrote:
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)

(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.



Think I may just not understand what a decimal is. Why is decimal z not just a number from 0-9? Decimal z ≠ a digit?
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77107
Premium Member CAT Tests Top Member of the Month
Re: What is the hundredths digit of the decimal z? [#permalink] New post  12 Jan 2014, 06:26
2
Kudos
Expert Reply
boyanshmorhun wrote:
Bunuel wrote:
Bunuel wrote:
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)

(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.



Think I may just not understand what a decimal is. Why is decimal z not just a number from 0-9? Decimal z ≠ a digit?


I think you should brush up fundamentals. Decimals and digits are not the same thing.

Decimal is a numbers that fall in between integers and expressed in terms of place value. For example, 3.4 , 1.7777, 7.8, ... are all decimals.

While digits are numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Hope it helps.
_________________
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
User avatar
V
CrackVerbalGMAT
CrackVerbal Representative
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4274
Location: India
GMAT 1: 730 Q48 V42
GPA: 4
Re: What is the hundredths digit of the decimal z? [#permalink] New post  28 Jan 2014, 22:50
Expert Reply
Let us say number is 0.abcd and the question asks the value of b?

Statement I is insufficient:

100z = ab.cd which says c = 2

Statement II is insufficient

1000z = abc.d which again says c = 2

Even by combining we are getting c = 2.

Answer is E.
_________________

- CrackVerbal Prep Team


Image

GMAT Learning Resources


Claim Your Free Session with a Top CrackVerbal GMAT Instructor

Get free access to your GMAT Online Kickstarter course

Know If Your Profile is Good Enough For An MBA

Know More about our 1-on-1 GMAT Coaching


What Our Students Have to Say


Sushiksha Shetty - 710 to 770 | Ramprasad Venkataramanan - 720 to 750 | More Success Stories


Register for Our Free Webinars


GMAT Strategy Webinars | MBA Application Webinars
Signature Read More
User avatar
V
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 5477
Location: Canada
Top Member of the Month
Re: What is the hundredths digit of the decimal z? [#permalink] New post  18 Apr 2017, 16:07
1
Kudos
2
Bookmarks
Expert Reply
Top Contributor
LM wrote:
What is the hundredths digit of the decimal z?

(1) The tenths digit is 100z is 2
(2) The units digit of 1,000z is 2


Target question: What is the hundredths digit of the decimal z?

Statement 1: The tenths digit of 100z is 2
Notice what happens when we take a decimal like 0.123456 and multiply it by 100.
We get 12.345 (the tenths digit is 3)
In the original decimal, the 3 was in the thousandths place.
So, statement 1 tells us that the THOUSANDTHS digit of z is 2
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The unit digit of 1000z is 2
Notice what happens when we take a decimal like 0.123456 and multiply it by 1000.
We get 123.45 (the units digit is 3)
In the original decimal, the 3 was in the thousandths place.
So, statement 2 tells us that the THOUSANDTHS digit of z is 2
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

NOTE: Since statements 1 and 2 BOTH tell us the same thing (i.e., the THOUSANDTHS digit of z is 2), the combined statements are NOT SUFFICIENT

Answer:
Show Spoiler
E


Cheers,
Brent
_________________
Image

A focused approach to GMAT mastery
Signature Read More
avatar
B
zanaik89
Manager
Manager
Joined: 19 Aug 2016
Posts: 63
Re: What is the hundredths digit of the decimal z? [#permalink] New post  25 Sep 2017, 17:48
Bunuel wrote:
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)

(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.

Answer: E.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS


How did u get z =2? Pls help..
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77107
Premium Member CAT Tests Top Member of the Month
Re: What is the hundredths digit of the decimal z? [#permalink] New post  25 Sep 2017, 19:53
Expert Reply
zanaik89 wrote:
Bunuel wrote:
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit of z would be the value of \(c\). So the question is \(c=?\)

(1) The tenths digit is 100z is 2 --> \(100z=100*a.bcd=abc.d\) --> the tenths digit of \(100z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(2) The units digit of 1,000z is 2 --> \(1000z=1000*a.bcd=abcd\) --> the units digit of \(1000z\) is the value of \(d\). So \(d=2\). Not sufficient to calculate \(c\).

(1)+(2) No new info, only the value of \(d\) is known. Not sufficient.

Answer: E.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS


How did u get z =2? Pls help..


We got that d = 2, not z. d is a THOUSANDTHS digit of z (z=a.bcd) so the TENTHS digitt of 100z (100z=100*a.bcd=abc.d), which in (1) we are told to be 2.

P.S. Please do NOT double-post. Thank you.
_________________
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
User avatar
V
AliciaSierra
Director
Director
Joined: 17 Mar 2014
Posts: 626
GMAT ToolKit User Reviews Badge
Re: What is the hundredths digit of the decimal z? [#permalink] New post  27 Dec 2020, 18:53
LM wrote:
What is the hundredths digit of the decimal z?

(1) The tenths digit is 100z is 2
(2) The units digit of 1,000z is 2


Bunuel ,

Why there is no multiplication sign between 100& Z ! When I saw this question in GMATPREP test, I got confused and I thought 100Z is one number :(
_________________
No Amount Of Money Ever Bought A Second Of Time.
When you want to succeed as bad as you want to breathe then you will be successful. I am in this position right now
Signature Read More
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77107
Premium Member CAT Tests Top Member of the Month
Re: What is the hundredths digit of the decimal z? [#permalink] New post  27 Dec 2020, 23:15
Expert Reply
AliciaSierra wrote:
LM wrote:
What is the hundredths digit of the decimal z?

(1) The tenths digit is 100z is 2
(2) The units digit of 1,000z is 2


Bunuel ,

Why there is no multiplication sign between 100& Z ! When I saw this question in GMATPREP test, I got confused and I thought 100Z is one number :(


If 100z were a four-digit number it would have been mentioned explicitly. Without that, 100z can only be 100*z, since only multiplication sign (*) is usually omitted.
_________________
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
User avatar
P
MHIKER
VP
VP
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 1352
What is the hundredths digit of the decimal z? [#permalink] New post  29 Dec 2020, 09:12
Top Contributor
LM wrote:
What is the hundredths digit of the decimal z?

(1) The tenths digit is 100z is 2
(2) The units digit of 1,000z is 2


Let, z=a.bcdefg, we need to know what is c?

(1) \(a.bcdefg*100=abc.defg\); Given that \(d=2\), but \(e\) (the hundredths digit) can be any digit. Insufficient.

(2) \(a.bcdefg*1000=abcd.efg\); Given that \(d=2\), \(f\) (the hundredths digit) can be any digit. Insufficient.

Considering both:
We get for both options \(d=2\) but we can't define \(e \ or \ f\) in either case. Insufficient.

The answer is \(E\)
_________________
Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html
Signature Read More
GMAT Club Bot
gmatclubot
What is the hundredths digit of the decimal z? [#permalink]
29 Dec 2020, 09:12
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10007 posts
Bunuel
Math Expert
77096 posts
GMATBusters
Retired Moderator
2005 posts
nick1816
DS Forum Moderator
2294 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