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Re: GMAT Prep DS: When X is rounded

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debayan222 wrote:
VeritasPrepKarishma wrote:
Responding to a pm:

When you round off to the hundredth digit, you look at only the thousandth digit i.e. you focus only on the next digit.

Say x = .4546
When you round it to the nearest hundredth digit, you get x = .45 (not .46). The reason is that the thousandth digit is 4 which is less than 5. 0.4546 is closer to 0.45 than it is to 0.46
You do not follow a sequence of roundings to arrive at x = .455 and then x = .46

Say x = .4553
Now when you round to the nearest hundredth, you get x = .46 because the thousandth digit is 5. .4553 is closer to .46 than to .45

Therefore statement 1 is not sufficient alone. If you round off x to thousandth and get .455, you do not know whether x was .4546 or .4553 initially (or similar). Hence you do not know what you will get when you round it to nearest hundredth. Statement 2 tells you that the thousandth digit was 5 so now you know that x was .4553 (or similar) and it will be rounded to .46



Hi Karishma,
So answer would be C I think...Please confirm!


Yes, that's correct.

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