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What is the result when x is rounded to the nearest

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Senior Manager
Senior Manager
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Joined: 05 Oct 2008
Posts: 270

Kudos [?]: 515 [0], given: 22

What is the result when x is rounded to the nearest [#permalink]

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New post 29 Dec 2008, 10:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the result when x is rounded to the nearest hundredth?

1. wen x is rounded to the nearest thousandth the result is 0.455
2. the thousandth digit of x is 5

am i missing something to understand the question?
0 . 4 (tenth) 5 (hundredth) 5 (thousandth)

so if rounded to the hundredth x will be .45 right? coz the number could be either between 0.4550 to .4554 or between 0.4545 to 0.4549

for eg. if the number is 0.4550 then wen rounded to hundredt digit the answer wud be .45
and if the number is 0.4547, still the number rounded to the hundredth place would be 0.45

No?

do we even need the 2nd statement?

Kudos [?]: 515 [0], given: 22

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Joined: 12 Sep 2008
Posts: 25

Kudos [?]: 6 [0], given: 0

Re: Decimals (gmatprep) [#permalink]

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New post 29 Dec 2008, 10:39
what is the result wen x is rounded to the nearest hundredth?

1. wen x is rounded to the nearest thousandth the result is 0.455

x can be 0.4545 to 0.4554. Therefore, when x is rounded to the nearest hundredth, it can be either 0.45 or 0.46.
INSUFFCIENT

2. the thousandth digit of x is 5

Can't determine what x is w/ only known information of thousandth digit of 5.
INSUFFCIENT

When combining statement 1 and 2, you get 0.455. Rounding this to the nearest hundredth, you get 0.46.
SUFFCIENT

Therefore, the answer is C.

Kudos [?]: 6 [0], given: 0

Senior Manager
Senior Manager
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Joined: 05 Oct 2008
Posts: 270

Kudos [?]: 515 [0], given: 22

Re: Decimals (gmatprep) [#permalink]

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New post 29 Dec 2008, 10:50
in the example you stated : .4546 ... If I had to round to the nearest hundred , wont it be 0.46. My understanding was u start at the last digit and round your way back up . That being said , my logic was

0.4546 --> 0.0455 --0.046

Do I make any sense ? This is hat I have learned and followed all through high school and college.

I could have my fundamentals wrong and I would appreciate if you can help me out.

Kudos [?]: 515 [0], given: 22

Intern
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Joined: 12 Sep 2008
Posts: 25

Kudos [?]: 6 [0], given: 0

Re: Decimals (gmatprep) [#permalink]

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New post 29 Dec 2008, 11:22
study wrote:
in the example you stated : .4546 ... If I had to round to the nearest hundred , wont it be 0.46. My understanding was u start at the last digit and round your way back up . That being said , my logic was

0.4546 --> 0.0455 --0.046

Do I make any sense ? This is hat I have learned and followed all through high school and college.

I could have my fundamentals wrong and I would appreciate if you can help me out.



Based on the question presented, we don't know what x is. Statement 1 says that when x is rounded to the nearest thousandth, the result is 0.455. So it must be that x is between 0.4545 to 0.4554 since we round it from the ten thousandth digit.

Now, going back to the question. When x is rounded to the nearest hundredth from the number between 0.4545 to 0.4554, you round it from the thousandth digit. (You don't want to round it from the ten thousandth digit, and then round it again in thousandth digit) You have 4 in one case and 5 in the other case. Therefore, INSUFFCIENT.

When the question asks you to round it to a certain digit, you round it from the number right of it. I think you went 2 digits to the right and did the rounding twice.

Kudos [?]: 6 [0], given: 0

Re: Decimals (gmatprep)   [#permalink] 29 Dec 2008, 11:22
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