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What is the hundredths digit of the decimal z?

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What is the hundredths digit of the decimal z? [#permalink] New post 27 Apr 2010, 10:10
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68% (01:46) correct 31% (00:28) wrong based on 4 sessions
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
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Jan 2012, 09:06, edited 1 time in total.
Edited the question and added the OA
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Re: GMAT PREP (DS) [#permalink] New post 28 Apr 2010, 10:58
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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
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Re: GMAT PREP (DS) [#permalink] New post 28 Apr 2010, 13:08
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.
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Re: GMAT PREP (DS) [#permalink] New post 29 Apr 2010, 04:11
silly mistake went for hundred digit not hundredth
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Re: GMAT PREP (DS) [#permalink] New post 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.

Answer: E.


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?
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Re: GMAT PREP (DS) [#permalink] New post 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
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Re: Please help!! Difficult problems from GMATPrep [#permalink] New post 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.

Statement 2 is alone sufficient to answer this question. Answer B.
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what is the hudred digit [#permalink] New post 21 Dec 2010, 09:31
what is the hudred digit of decimal z?
a) the tenth digit of 100z is 2
b) the unit digit of 1000z is 2
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Re: what is the hudred digit [#permalink] New post 21 Dec 2010, 09:43
Merging similar topics.
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Re: GMAT PREP (DS) [#permalink] New post 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.

Answer - E
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Re: GMAT PREP (DS) [#permalink] New post 26 Apr 2011, 10:00
Nothing is required after Bunnuel.
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Re: GMAT PREP (DS)   [#permalink] 26 Apr 2011, 10:00
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