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What is the hundredths digit of the decimal z? [#permalink ]
27 Apr 2010, 09:10

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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

Last edited by

Bunuel on 28 Jan 2012, 08:06, edited 1 time in total.

Edited the question and added the OA

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Re: GMAT PREP (DS) [#permalink ]
28 Apr 2010, 09:58
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Re: GMAT PREP (DS) [#permalink ]
28 Apr 2010, 12:08

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 ]
29 Apr 2010, 03:11

silly mistake went for hundred digit not hundredth

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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?

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Re: GMAT PREP (DS) [#permalink ]
10 May 2010, 20:30

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 ]
14 Sep 2010, 19:00

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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Re: GMAT PREP (DS) [#permalink ]
26 Apr 2011, 07:48

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 ]
26 Apr 2011, 09:00

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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? Let's assume z=9 1) 100z = 900.00; tenths digit = 0 2) 1000z = 9000.00; units digit = 0 D both alone are sufficient.

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Re: GMAT PREP (DS) [#permalink ]
12 Jan 2014, 06:11

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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?

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Re: GMAT PREP (DS) [#permalink ]
12 Jan 2014, 06:26
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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.

Hope it helps.

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Re: GMAT PREP (DS) [#permalink ]
28 Jan 2014, 22:50

Let us say number is 0.abcd and the question asks the value of b?

Statement I is insufficient:

100z = ab.cd which says c = 2

Statement II is insufficient

1000z = abc.d which again says c = 2

Even by combining we are getting c = 2.

Answer is E.

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Re: GMAT PREP (DS)
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28 Jan 2014, 22:50