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# What is the hundredths digit of th decimal Z?

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Senior Manager
Joined: 28 Jul 2011
Posts: 343
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
What is the hundredths digit of th decimal Z?  [#permalink]

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Updated on: 08 Apr 2012, 02:12
10
40
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:24) correct 28% (01:26) wrong based on 980 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

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Originally posted by mydreammba on 28 Jan 2012, 07:38.
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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Joined: 02 Sep 2009
Posts: 52906
Re: What is the hundredths digit of th decimal Z?  [#permalink]

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28 Jan 2012, 08:04
47
41
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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Re: What is the hundredths digit of th decimal Z?  [#permalink]

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08 Apr 2012, 02:29
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hundredths digit of the decimal  [#permalink]

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18 Apr 2012, 19:02
2
1
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
1
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: 52906
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]

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03 Oct 2018, 08:41
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Re: What is the hundredths digit of th decimal Z?   [#permalink] 03 Oct 2018, 08:41
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