GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2018, 21:15

### 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

# What is the hundredths digit of the decimal z?

Author Message
TAGS:

### Hide Tags

Director
Joined: 03 Sep 2006
Posts: 803
What is the hundredths digit of the decimal z?  [#permalink]

### Show Tags

Updated on: 28 Jan 2012, 09:06
5
28
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:24) correct 31% (01:28) wrong based on 756 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

Originally posted by LM on 27 Apr 2010, 10:10.
Last edited by Bunuel on 28 Jan 2012, 09:06, edited 1 time in total.
Edited the question and added the OA
Math Expert
Joined: 02 Sep 2009
Posts: 50010

### Show Tags

28 Apr 2010, 10:58
15
22
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.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
_________________
##### General Discussion
Intern
Joined: 10 Apr 2010
Posts: 4

### Show Tags

28 Apr 2010, 13:08
1
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.
Manager
Joined: 09 Apr 2010
Posts: 60

### Show Tags

29 Apr 2010, 04:11
silly mistake went for hundred digit not hundredth
Director
Joined: 03 Sep 2006
Posts: 803

### Show Tags

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.

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?
Senior Manager
Joined: 19 Nov 2009
Posts: 252

### Show Tags

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.

Senior Manager
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 365
Location: Milky way
Schools: ISB, Tepper - CMU, Chicago Booth, LSB

### Show Tags

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.

_________________

Support GMAT Club by putting a GMAT Club badge on your blog

Retired Moderator
Joined: 16 Nov 2010
Posts: 1436
Location: United States (IN)
Concentration: Strategy, Technology

### Show Tags

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.

_________________

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

GMAT Club Premium Membership - big benefits and savings

Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 515

### Show Tags

26 Apr 2011, 10:00
1
Intern
Joined: 18 Jun 2013
Posts: 9
Re: What is the hundredths digit of the decimal z?  [#permalink]

### Show Tags

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.
Math Expert
Joined: 02 Sep 2009
Posts: 50010

### Show Tags

12 Jan 2014, 07:11
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.

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
_________________
Intern
Joined: 18 Jun 2013
Posts: 9

### Show Tags

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?
Math Expert
Joined: 02 Sep 2009
Posts: 50010

### Show Tags

12 Jan 2014, 07:26
1
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.
_________________
Director
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 523
Location: India
GMAT 1: 780 Q51 V46

### Show Tags

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.

_________________

Current Student
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: What is the hundredths digit of the decimal z?  [#permalink]

### Show Tags

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
_________________

MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

CEO
Joined: 12 Sep 2015
Posts: 3024
Re: What is the hundredths digit of the decimal z?  [#permalink]

### Show Tags

18 Apr 2017, 17:07
1
Top Contributor
1
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

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com

Non-Human User
Joined: 09 Sep 2013
Posts: 8512
Re: What is the hundredths digit of the decimal z?  [#permalink]

### Show Tags

05 Jun 2018, 19:05
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: What is the hundredths digit of the decimal z? &nbs [#permalink] 05 Jun 2018, 19:05
Display posts from previous: Sort by