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# What is the hundredths digit of the decimal z? (1) The

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Joined: 03 Feb 2009
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Schools: Duke, UNC, Emory, Ga Tech, Vanderbilt, Indiana, Wash U, Texas, Rollins
What is the hundredths digit of the decimal z? (1) The  [#permalink]

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02 Mar 2009, 12:50
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What is the hundredths digit of the decimal z?

(1) The tenths digit of 100z is 2.
(2) The units digit of 1,000z is 2.

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Joined: 07 Nov 2007
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02 Mar 2009, 14:20
bmiller0731 wrote:
What is the hundredths digit of the decimal z?

(1) The tenths digit of 100z is 2.
(2) The units digit of 1,000z is 2.

(1)

100z = 100* 0.002x = 0.2x

we don't about X .. it can be any number from 0-9

insufficient
(2)

1000z = 1000* 0.0002x = 0.2x

we don't about X .. it can be any number from 0-9
insufficient

combined.
both are same equation..
Not sufficient

E
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02 Mar 2009, 16:05
Sorry, but I am still a bit confused. You arrived at the correct answer, but I am still lost.

Is 100z the same as 100*z or is z a digit.

In Statement 1, how did you know to multiply 100 * (0.002x)? I see it equaled 0.2x (where 2 is the tenths digit). But I don't see why we would have wanted to do that.

I have the same questions about statement 2. The statement says that the units digit is 2 (not the tenths digits), so why do we want the value to equal 0.2x? wouldn't it be 2x?

Sorry, as my questions are probably a bit confusing themselves. If you wouldn't mind going into a little more depth about why you did what you did, I would really appreciate it.

Thanks.
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Joined: 07 Nov 2007
Posts: 1728
Location: New York

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02 Mar 2009, 18:22
bmiller0731 wrote:
Sorry, but I am still a bit confused. You arrived at the correct answer, but I am still lost.

Is 100z the same as 100*z or is z a digit.

In Statement 1, how did you know to multiply 100 * (0.002x)? I see it equaled 0.2x (where 2 is the tenths digit). But I don't see why we would have wanted to do that.

I have the same questions about statement 2. The statement says that the units digit is 2 (not the tenths digits), so why do we want the value to equal 0.2x? wouldn't it be 2x?

Sorry, as my questions are probably a bit confusing themselves. If you wouldn't mind going into a little more depth about why you did what you did, I would really appreciate it.

Thanks.

100z = 100* z

i took one example z = 0.002x which makes 100z = 0.2x

you can take any example which satisfies the above equation.

z= yyyyy.yyy2x --> 100z = yyyyyyy.2x --> multiple solutions found.
So not sufficient.

Similarly for the 2nd satement.
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Joined: 26 Dec 2008
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02 Mar 2009, 20:13
bmiller0731 wrote:
Sorry, but I am still a bit confused. You arrived at the correct answer, but I am still lost.

Is 100z the same as 100*z or is z a digit.

In Statement 1, how did you know to multiply 100 * (0.002x)? I see it equaled 0.2x (where 2 is the tenths digit). But I don't see why we would have wanted to do that.

I have the same questions about statement 2. The statement says that the units digit is 2 (not the tenths digits), so why do we want the value to equal 0.2x? wouldn't it be 2x?

Sorry, as my questions are probably a bit confusing themselves. If you wouldn't mind going into a little more depth about why you did what you did, I would really appreciate it.

Thanks.

taking a real number rather than general number might help clarify the solution.

Let's say z = 6.723, question wants us to identify the hundredth digit or "2" in our case.

(1) 10th digit of 100z (= 672.3 ) is 7 --> doesn't give us 2 --> insufficient
(2) unit digit of 1000z (=6723) is 3 --> doesn't give us 2--> insufficient

combined (1) and (2) give 7 and 3 --> don't give us 2 --> insufficient

Thus, E

Hope this helps

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Re: DS: Decimals &nbs [#permalink] 02 Mar 2009, 20:13
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