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What is the hundreds digit of the integer z? (1) 10z =

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What is the hundreds digit of the integer z? (1) 10z = [#permalink]

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New post 14 Nov 2008, 15:23
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the hundreds digit of the integer z?
(1) 10z = 93,120
(2) z rounded to the nearest hundred is 9,300.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Re: hundred digit [#permalink]

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New post 14 Nov 2008, 15:53
Re: (1):

10z = 93,120 so z=9,312. The hundreds digit is 3. SUFFICIENT.

Re: (2);

9,299 and 9,301 rounded to the nearest hundred is 9,300 in both cases, so the hundreds digit could be either 2 or 3. INSUFFICIENT.

Therefore, (A) is the answer.

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Re: hundred digit [#permalink]

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New post 14 Nov 2008, 16:47
Stmt 1= sufficient as z can be easily found
stmt 2 = insufficient z can be 9290 or 9310 where 100's place is varying

hence A

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Re: hundred digit [#permalink]

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New post 15 Nov 2008, 14:10
Another A

B has a range of numbers that satisfy the condition 9251 thru 9349. Can be 2 or 3. Insuff

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Re: hundred digit [#permalink]

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New post 16 Nov 2008, 00:44
IMO = A

1) We can know the hundreds digit exactly as soon as we know the value of z.
2) The hundreds digit can be either 2 or 3.

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Re: hundred digit   [#permalink] 16 Nov 2008, 00:44
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What is the hundreds digit of the integer z? (1) 10z =

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