What is the hundredths digit of th decimal Z? : GMAT Data Sufficiency (DS)
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# What is the hundredths digit of th decimal Z?

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Director
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What is the hundredths digit of th decimal Z? [#permalink]

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28 Jan 2012, 07:38
4
KUDOS
17
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Difficulty:

25% (medium)

Question Stats:

67% (01:40) correct 33% (00:36) wrong based on 560 sessions

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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

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Last edited by Bunuel on 08 Apr 2012, 02:12, edited 2 times in total.
Edited the question and added the OA
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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28 Jan 2012, 08:04
29
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Expert's post
16
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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.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
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Director
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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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.

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..
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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08 Apr 2012, 02:29
Expert's post
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Manager
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hundredths digit of the decimal [#permalink]

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18 Apr 2012, 19:02
1
KUDOS
z = 0.abcd and we are looking for b

1. 100z = ab.cd c = 2 (insufficient)
2. 1,000z = abc.d c = 2 (insufficient)
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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20 Aug 2013, 04:47
Bumping for review and further discussion.
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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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.

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.

Thanks.
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Re: hundredths digit of the decimal [#permalink]

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

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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.

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.

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

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29 Apr 2014, 00:07
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.

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.

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

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19 Jun 2015, 00:26
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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27 Jun 2016, 11:52
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).

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

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28 Jun 2016, 20:27
E

bith statements say same...which says the thousandth digit is 2.we can't infer hundredth digit.
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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19 Nov 2016, 00:04
Both of these statements actually mean that thousandths digit of z is 2
So we can't get to hundredths digit of z
hence E
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Re: What is the hundredths digit of th decimal Z?   [#permalink] 19 Nov 2016, 00:04
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