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# If m is the decimal 0.57x8, in which x is the thousandths digit, what

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Joined: 02 Sep 2009
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If m is the decimal 0.57x8, in which x is the thousandths digit, what  [#permalink]

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26 Sep 2016, 03:16
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87% (01:09) correct 13% (01:29) wrong based on 76 sessions

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If m is the decimal 0.57x8, in which x is the thousandths digit, what is the value of x?

(1) When rounded to nearest thousandths digit, m = 0.575

(2) When rounded to nearest hundredths digit, m = 0.57

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Re: If m is the decimal 0.57x8, in which x is the thousandths digit, what  [#permalink]

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26 Sep 2016, 05:18
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Bunuel wrote:
If m is the decimal 0.57x8, in which x is the thousandths digit, what is the value of x?

(1) When rounded to nearest thousandths digit, m = 0.575

(2) When rounded to nearest hundredths digit, m = 0.57

Stat 1: When rounded to nearest thousandths digit, m = 0.575...i.e from given information 0.57x8...if x has to be 5...then it's previous value is 4...because number in the ten thousands place is 8 which is greater than 5...then we'll add 1 to the preceding number.

Sufficient..

Stat 2: when m = 0.57 then thousands value can be 0,1,2,3 or 4...if it is above 5 then we'll add one to the preceding number...Insufficient.

IMO option A.
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Joined: 18 Sep 2016
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Re: If m is the decimal 0.57x8, in which x is the thousandths digit, what  [#permalink]

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29 Sep 2016, 01:36
Bunuel wrote:
If m is the decimal 0.57x8, in which x is the thousandths digit, what is the value of x?

(1) When rounded to nearest thousandths digit, m = 0.575

(2) When rounded to nearest hundredths digit, m = 0.57

(1) says that 0.57x8 approximated to the nearest thousandths digit is 0.575
considering that the digit before x is 8, this approximation will make the thousandths digit 1 unit grater than x

====> $$(x+1)=x$$ ====> $$x=5-1=4$$

1 is sufficient

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Re: If m is the decimal 0.57x8, in which x is the thousandths digit, what  [#permalink]

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10 Feb 2017, 09:29
Since the digit to the right of x is 8, it means that x is rounded up. Since x is rounded up to 5, x has to be 4. Therefore, A
Re: If m is the decimal 0.57x8, in which x is the thousandths digit, what &nbs [#permalink] 10 Feb 2017, 09:29
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