It is currently 17 Oct 2017, 19:40

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 hundredths digit of the decimal z?

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

Hide Tags

Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 866

Kudos [?]: 1068 [0], given: 33

GMAT ToolKit User
What is the hundredths digit of the decimal z? [#permalink]

Show Tags

New post 27 Apr 2010, 10:10
22
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (00:54) correct 35% (00:56) wrong based on 663 sessions

HideShow 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Jan 2012, 09:06, edited 1 time in total.
Edited the question and added the OA

Kudos [?]: 1068 [0], given: 33

Expert Post
9 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128621 [9], given: 12180

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 28 Apr 2010, 10:58
9
This post received
KUDOS
Expert's post
19
This post was
BOOKMARKED
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 Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128621 [9], given: 12180

Intern
Intern
avatar
Joined: 10 Apr 2010
Posts: 4

Kudos [?]: 2 [0], given: 0

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 28 Apr 2010, 13:08
1
This post was
BOOKMARKED
I am sure Bunuel's explanation should have cleared your doubts, if there was any. But I pretty much followed the same what Bunuel explained.

Z = A.bcde

From stem, we should be able to find the value of 'c'

1. 100Z = A.bcde * 100 = Abc.de => tenth digit of 100z = d = 2, Not Sufficient to find the value of C
2. 100Z = A.bcde * 1000 = Abcd.e => units digit of 1000Z = d = 2, Not Sufficient to find the value of C

Both 1 and 2 are talking about 1000th digit of Z, which is Z. Hence, together 1 and 2, as well, we can not find the value of 100th digit of Z.

Hope this helps.

Kudos [?]: 2 [0], given: 0

Manager
Manager
avatar
Joined: 09 Apr 2010
Posts: 76

Kudos [?]: 73 [0], given: 3

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 29 Apr 2010, 04:11
silly mistake went for hundred digit not hundredth

Kudos [?]: 73 [0], given: 3

Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 866

Kudos [?]: 1068 [0], given: 33

GMAT ToolKit User
Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 10 May 2010, 21:19
Bunuel wrote:
What is the hundredths digit of the decimal z?

Let's say \(z=a.bcd\). The hundredths digit 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.


When the question asks hundredths digit of the decimal z? , in that case, for example, \(z=xyz.bcd\)

x = hundredth digit
c = hundredth digit


How did you assume that the question is asking for C and not for X?

Kudos [?]: 1068 [0], given: 33

Senior Manager
Senior Manager
User avatar
Joined: 19 Nov 2009
Posts: 311

Kudos [?]: 98 [0], given: 44

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 10 May 2010, 21:30
When the question asks hundredths digit of the decimal z? , in that case, for example,

\(z= xyz.bcd\)
x = hundredth digit
c = hundredth digit

How did you assume that the question is asking for C and not for X?


it is ....(Hundreds)(Tens)(Units).(tenths)(Hundredths)......

x = Hundreds digit
c = hundredths digit
_________________

"Success is going from failure to failure without a loss of enthusiam." - Winston Churchill

As vs Like - Check this link : http://www.grammar-quizzes.com/like-as.html.

Kudos [?]: 98 [0], given: 44

Senior Manager
Senior Manager
User avatar
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 404

Kudos [?]: 248 [0], given: 50

Location: Milky way
Schools: ISB, Tepper - CMU, Chicago Booth, LSB
Re: Please help!! Difficult problems from GMATPrep [#permalink]

Show Tags

New post 14 Sep 2010, 20:00
3. What is the hundredths digit of the decimal z?

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

Let the number, z be x.abcde. We need to find the hundredths digit of the decimal z which is the value of b.
Statement 1: 100z = xab.cde Given the tenth digit of 100z is 2 and hence c is 2.

Statement 2: 100z = xab.cde. Given the units digits of 100z is 2 and hence b is 2.

Statement 2 is alone sufficient to answer this question. Answer B.
_________________

:good Support GMAT Club by putting a GMAT Club badge on your blog :thanks

Kudos [?]: 248 [0], given: 50

SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1599

Kudos [?]: 592 [0], given: 36

Location: United States (IN)
Concentration: Strategy, Technology
Premium Member Reviews Badge
Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 26 Apr 2011, 08:48
Let z = p.qr2s

(1)
100z = pqr.2s

We don't know "s".

(2)
1000z = pqr2.s

we don't know "s'

(1) and (2)

We don't know s.

Answer - E
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 592 [0], given: 36

Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 615

Kudos [?]: 1133 [0], given: 39

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 26 Apr 2011, 10:00
1
This post was
BOOKMARKED

Kudos [?]: 1133 [0], given: 39

Intern
Intern
avatar
Joined: 18 Jun 2013
Posts: 10

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

Re: What is the hundredths digit of the decimal z? [#permalink]

Show Tags

New post 12 Jan 2014, 07:06
If it is asking for what is the hundredths digit of decimal z, isn't z just a digit between 0-9? In that case, isn't isn't any other digit besides the units digit of z=0? e.g. z= 09.00?

Let's assume z=9

1) 100z = 900.00; tenths digit = 0
2) 1000z = 9000.00; units digit = 0

D both alone are sufficient.

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128621 [0], given: 12180

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 12 Jan 2014, 07:11
Expert's post
3
This post was
BOOKMARKED
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:
if-the-units-digit-of-integer-n-is-greater-than-2-what-is-134501.html (OG13)
if-n-is-an-integer-what-is-the-units-digit-of-x-135123.html
if-n-is-a-positive-integer-what-is-the-tens-digit-of-n-144725.html
if-n-is-a-positive-integer-what-is-the-units-digit-of-n-154422.html
if-a-b-and-c-are-digits-and-ab-0-what-is-the-value-of-b-130419.html
is-the-positive-two-digit-integer-n-less-than-143505.html
if-1-d-2-is-the-tenths-digit-of-the-decimal-131532.html
if-k-is-a-positive-integer-and-the-tens-digit-of-k-5-is-100041.html
if-x-0-abcd-where-a-b-c-and-d-each-represent-a-nonzero-127399.html
if-x-0-rstu-where-r-s-t-and-u-each-represent-a-nonzero-109735.html
what-is-the-hundredths-digit-of-the-decimal-z-93374.html
what-is-the-hundredths-digit-of-the-decimal-m-128272.html
what-is-the-hundredths-digit-of-th-decimal-z-126671.html
is-the-hundredths-digit-of-the-decimal-d-greater-than-102268.html
what-is-the-tens-digit-of-the-positive-integer-r-101570.html
what-is-the-hundreths-digit-of-the-decimal-m-1-the-101455.html
if-a-is-a-positive-integer-and-if-the-units-digit-of-a-2-is-109036.html
if-d-represents-the-hundredths-digit-and-e-represents-the-116821.html
in-the-decimal-representation-of-x-where-0-x-1-is-the-99281.html
if-digit-h-is-the-hundredths-digit-in-the-decimal-d-0-2h6-101957.html
if-t-denotes-the-thousandths-digit-in-the-decimal-138297.html
if-1-d-2-is-the-tenths-digit-of-the-decimal-131532.html
if-z-is-a-three-digit-positive-integer-what-is-the-value-of-69999.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128621 [0], given: 12180

Intern
Intern
avatar
Joined: 18 Jun 2013
Posts: 10

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

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 12 Jan 2014, 07:16
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?

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

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128621 [1], given: 12180

Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 12 Jan 2014, 07:26
1
This post received
KUDOS
Expert's post
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 Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128621 [1], given: 12180

Director
Director
User avatar
S
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 512

Kudos [?]: 573 [0], given: 6

Location: India
GMAT 1: 780 Q51 V46
Re: GMAT PREP (DS) [#permalink]

Show Tags

New post 28 Jan 2014, 23:50
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.
_________________

Enroll for our GMAT Trial Course here -
http://gmatonline.crackverbal.com/

Learn all PS and DS strategies here-
http://gmatonline.crackverbal.com/p/mastering-quant-on-gmat

For more info on GMAT and MBA, follow us on @AskCrackVerbal

Kudos [?]: 573 [0], given: 6

BSchool Forum Moderator
User avatar
P
Joined: 12 Aug 2015
Posts: 2212

Kudos [?]: 836 [0], given: 595

GMAT ToolKit User Premium Member CAT Tests
Re: What is the hundredths digit of the decimal z? [#permalink]

Show Tags

New post 19 Nov 2016, 01:46
let z=abc.pqr
we need q
statement 1
100z=abcpq.r
tenths =r=2
no clue of q=> not sufficient
statement 2
1000z=abcpqr
units =r
hence r=2
no clue of q => not sufficient
combining the two statements we get r=2
still no clue of q
hence E
_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 836 [0], given: 595

Expert Post
Top Contributor
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 12 Sep 2015
Posts: 1794

Kudos [?]: 2446 [1], given: 356

Location: Canada
Re: What is the hundredths digit of the decimal z? [#permalink]

Show Tags

New post 18 Apr 2017, 17:07
1
This post received
KUDOS
Expert's post
Top Contributor
1
This post was
BOOKMARKED
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:
[Reveal] Spoiler:
E


Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Kudos [?]: 2446 [1], given: 356

Re: What is the hundredths digit of the decimal z?   [#permalink] 18 Apr 2017, 17:07
Display posts from previous: Sort by

What is the hundredths digit of the decimal z?

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


cron

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®.