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.

Can you please explain a bit on your answer?

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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