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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.
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.
Re: GMAT PREP (DS) [#permalink]
10 May 2010, 20:19
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?
(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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Re: What is the hundredths digit of the decimal z? [#permalink]
12 Jan 2014, 06:06
If it is asking for what is the hundredths digit of decimal z, isn't z just a digit between 0-9? In that case, isn't isn't any other digit besides the units digit of z=0? e.g. z= 09.00?
Re: GMAT PREP (DS) [#permalink]
12 Jan 2014, 06:11
Expert's post
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.
Re: GMAT PREP (DS) [#permalink]
12 Jan 2014, 06:16
Bunuel 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.
Think I may just not understand what a decimal is. Why is decimal z not just a number from 0-9? Decimal z ≠ a digit?
Re: GMAT PREP (DS) [#permalink]
12 Jan 2014, 06:26
1
This post received KUDOS
Expert's post
boyanshmorhun wrote:
Bunuel 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.
Think I may just not understand what a decimal is. Why is decimal z not just a number from 0-9? Decimal z ≠ a digit?
I think you should brush up fundamentals. Decimals and digits are not the same thing.
Decimal is a numbers that fall in between integers and expressed in terms of place value. For example, 3.4 , 1.7777, 7.8, ... are all decimals.
While digits are numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Re: What is the hundredths digit of the decimal z? [#permalink]
01 Jun 2015, 11:51
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