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# x = 0.57y 9. If y denotes the thousandth digit in the

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x = 0.57y 9. If y denotes the thousandth digit in the [#permalink]

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04 Oct 2008, 19:43
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x = 0.57y 9. If y denotes the thousandth digit in the decimal representation of x above, what digit is y?
(1) If x were rounded to the nearest tenth, the result would be 0.6.
(2) If x were rounded to the nearest hundredth, the result would be 0.58.
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04 Oct 2008, 20:44
lylya4 wrote:
x = 0.57y9. If y denotes the thousandth digit in the decimal representation of x above, what digit is y?

(1) If x were rounded to the nearest tenth, the result would be 0.6.
(2) If x were rounded to the nearest hundredth, the result would be 0.58.

//E//

1. No matter the value of y, the tenth digit of x is always 6.
2. If hundredth digit of x is 8, y could be 5 or 6 or 7 or 8 or 9.

so togather also y's value is varied and hence insufficient.
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05 Oct 2008, 02:39
GMAT TIGER wrote:
lylya4 wrote:
x = 0.57y9. If y denotes the thousandth digit in the decimal representation of x above, what digit is y?

(1) If x were rounded to the nearest tenth, the result would be 0.6.
(2) If x were rounded to the nearest hundredth, the result would be 0.58.

//E//

1. No matter the value of y, the tenth digit of x is always 6.
2. If hundredth digit of x is 8, y could be 5 or 6 or 7 or 8 or 9.

so togather also y's value is varied and hence insufficient.

Can you please explain a bit on your answer ?
Rgs,
-Amit
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05 Oct 2008, 09:01
AmitGUPTA wrote:
GMAT TIGER wrote:
lylya4 wrote:
x = 0.57y9. If y denotes the thousandth digit in the decimal representation of x above, what digit is y?

(1) If x were rounded to the nearest tenth, the result would be 0.6.
(2) If x were rounded to the nearest hundredth, the result would be 0.58.

//E//

1. No matter the value of y, the tenth digit of x is always 6.
2. If hundredth digit of x is 8, y could be 5 or 6 or 7 or 8 or 9.

so togather also y's value is varied and hence insufficient.

Rgs,
-Amit

x = 0.57y9.
y is thousandth digit of x.

(1) when x is rounded to the nearest tenth, x = 0.6

let us y = 0, x = 0.5709. Hence x = 0.6
let us y = 1, x = 0.5719. Hence x = 0.6
let us y = 9, x = 0.5719. Hence x = 0.6

so x is always 0.6 if it is rounded to nearest tenths.

(2) If x were rounded to the nearest hundredth, the result would be 0.58.

let us y = 0, x = 0.5759. Hence x = 0.58
let us y = 6, x = 0.5769. Hence x = 0.58
let us y = 9, x = 0.5799. Hence x = 0.58

so x is always 0.58 if it is rounded to nearest hundredth.

hope its clear....
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05 Oct 2008, 12:08
E. My explanation is as below.

Stmt1: insufficient as rounding to nearest tenth digit is governed purely by 100th digit and is nothing to do with thousandth digit.

stmt2: If rounding to nearest hundredth digit increases the value of digit by 1 then the thousandth digit can be any value between 5 and 9 inclusive. Hence, insufficient.
Re: DS   [#permalink] 05 Oct 2008, 12:08
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# x = 0.57y 9. If y denotes the thousandth digit in the

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