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What is the hundredths digit of th decimal Z?

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What is the hundredths digit of th decimal Z? [#permalink] New post 28 Jan 2012, 07:38
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64% (01:39) correct 36% (00:31) wrong based on 297 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

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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] New post 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
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Re: What is the hundredths digit of th decimal Z? [#permalink] New post 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..
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Re: What is the hundredths digit of th decimal Z? [#permalink] New post 08 Apr 2012, 02:29
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Hope it helps.
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hundredths digit of the decimal [#permalink] New post 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)
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Re: What is the hundredths digit of th decimal Z? [#permalink] New post 20 Aug 2013, 04:47
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Re: What is the hundredths digit of th decimal Z? [#permalink] New post 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.
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Re: hundredths digit of the decimal [#permalink] New post 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] New post 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
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Re: What is the hundredths digit of th decimal Z? [#permalink] New post 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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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