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# What is the hundredths digit of th decimal Z?

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Director
Joined: 28 Jul 2011
Posts: 581
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 85 [1] , given: 16

What is the hundredths digit of th decimal Z? [#permalink]  28 Jan 2012, 07:38
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25% (medium)

Question Stats:

63% (01:38) correct 37% (00:28) wrong based on 253 sessions
What is the hundredths digit of th decimal Z?

(1) The tenths digit of 100z is 2

(2) The units digit of 1,000z is 2
[Reveal] Spoiler: OA

_________________

+1 Kudos If found helpful..

Last edited by Bunuel on 08 Apr 2012, 02:12, edited 2 times in total.
Edited the question and added the OA
Math Expert
Joined: 02 Sep 2009
Posts: 27201
Followers: 4225

Kudos [?]: 40975 [15] , given: 5649

Re: What is the hundredths digit of th decimal Z? [#permalink]  28 Jan 2012, 08:04
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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
_________________
Director
Joined: 28 Jul 2011
Posts: 581
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 85 [0], given: 16

Re: What is the hundredths digit of th decimal Z? [#permalink]  28 Jan 2012, 15:21
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

I got E, just want to confirm

My Exam is on Coming Friday..Any Advise Please i need atleast 650

Thanks a lot..
_________________

+1 Kudos If found helpful..

Math Expert
Joined: 02 Sep 2009
Posts: 27201
Followers: 4225

Kudos [?]: 40975 [0], given: 5649

Re: What is the hundredths digit of th decimal Z? [#permalink]  08 Apr 2012, 02:29
Expert's post
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Manager
Joined: 27 Oct 2011
Posts: 191
Location: United States
Concentration: Finance, Strategy
GMAT 1: Q V
GPA: 3.7
WE: Account Management (Consumer Products)
Followers: 2

Kudos [?]: 65 [1] , given: 4

hundredths digit of the decimal [#permalink]  18 Apr 2012, 19:02
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z = 0.abcd and we are looking for b

1. 100z = ab.cd c = 2 (insufficient)
2. 1,000z = abc.d c = 2 (insufficient)
_________________

DETERMINED TO BREAK 700!!!

Math Expert
Joined: 02 Sep 2009
Posts: 27201
Followers: 4225

Kudos [?]: 40975 [0], given: 5649

Re: What is the hundredths digit of th decimal Z? [#permalink]  20 Aug 2013, 04:47
Expert's post
Bumping for review and further discussion.
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Manager
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Kudos [?]: 32 [0], given: 7

Re: What is the hundredths digit of th decimal Z? [#permalink]  28 Apr 2014, 20:09
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

Hi Bunnel,

I got E for this.

I have a doubt if I will use a.bc then in statement1 I can get the hundreaths digit.

Please clarify.

Thanks.
Manager
Joined: 10 Mar 2014
Posts: 122
Followers: 1

Kudos [?]: 32 [0], given: 7

Re: hundredths digit of the decimal [#permalink]  28 Apr 2014, 20:12
calreg11 wrote:
z = 0.abcd and we are looking for b

1. 100z = ab.cd c = 2 (insufficient)
2. 1,000z = abc.d c = 2 (insufficient)

why we will take 4 digits. can we take 0.abc?
Manager
Joined: 10 Mar 2014
Posts: 122
Followers: 1

Kudos [?]: 32 [0], given: 7

Re: What is the hundredths digit of th decimal Z? [#permalink]  28 Apr 2014, 20:13
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

can we tabke a.bc instead of a.bcd. then this will not work.

Please clarify
Math Expert
Joined: 02 Sep 2009
Posts: 27201
Followers: 4225

Kudos [?]: 40975 [0], given: 5649

Re: What is the hundredths digit of th decimal Z? [#permalink]  29 Apr 2014, 00:07
Expert's post
PathFinder007 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

can we tabke a.bc instead of a.bcd. then this will not work.

Please clarify

Please show your work.
_________________
Re: What is the hundredths digit of th decimal Z?   [#permalink] 29 Apr 2014, 00:07
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# What is the hundredths digit of th decimal Z?

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