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# What is the hundredths digit of th decimal Z?

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Director
Joined: 28 Jul 2011
Posts: 512
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
What is the hundredths digit of th decimal Z? [#permalink]

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28 Jan 2012, 07:38
8
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Question Stats:

70% (00:40) correct 30% (00:38) wrong based on 754 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
Math Expert
Joined: 02 Sep 2009
Posts: 43789
Re: What is the hundredths digit of th decimal Z? [#permalink]

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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.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
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Posts: 43789
Re: What is the hundredths digit of th decimal Z? [#permalink]

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08 Apr 2012, 02:29
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Manager
Joined: 27 Oct 2011
Posts: 181
Location: United States
Concentration: Finance, Strategy
GPA: 3.7
WE: Account Management (Consumer Products)
hundredths digit of the decimal [#permalink]

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18 Apr 2012, 19:02
1
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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)
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Re: What is the hundredths digit of th decimal Z? [#permalink]

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19 Nov 2016, 00:04
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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]

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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.

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..
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Joined: 02 Sep 2009
Posts: 43789
Re: What is the hundredths digit of th decimal Z? [#permalink]

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25 Sep 2017, 19:53
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.

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.
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Re: What is the hundredths digit of th decimal Z?   [#permalink] 25 Sep 2017, 19:53
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