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# What is the result when X is rounded to the nearest

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Intern
Joined: 24 May 2008
Posts: 32
What is the result when X is rounded to the nearest [#permalink]

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18 Jun 2008, 23:39
1
KUDOS
What is the result when X is rounded to the nearest hundredth?

1) When X is rounded to the nearest thousand the result would be 0.455
2) The thousandth digit of X is 5

1: When X is rounded to the nearest thousand the result would be 0.455. So when X is rounded to the nearest hundredth it should be 0.45: Sufficient
2: Not sufficient

But OA is Both 1 & 2

Can some one explain the logic here? Thanks!

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Mahesh Vollala

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Joined: 24 Apr 2008
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19 Jun 2008, 00:29
1
KUDOS
St1: the number could be 0.454x where an integer x >4 & <=9 and is 0.455x when x <5

St2: Dosnt tell anything abt 100th place

St1 +2: since 1000th is 5 when 0.45x5 can be 0.455 only when x=4 hence sufficinet.

HtH
CEO
Joined: 17 May 2007
Posts: 2917

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20 Jun 2008, 05:58
Consider decimals .4549 and .4551 - both satisfy A. But when rounded to nearest 100, they would be .45 and .46 hence A by itself is INSUFFICIENT.

A along with B says the decimal will be rounded to .46 to the nearest hundredth.
Intern
Joined: 20 Jun 2008
Posts: 22

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20 Jun 2008, 07:06
There are several rounding rules but after reading your examples i had to check the book for the rule that GMAT employs.
Here is the rule:
To round off a decimal ,look at the digit to the right of the digits place you are rounding to.If that number is 0-4 ,then there is no change.If that number is 5-9 then round up.

bsd_lover wrote:
Consider decimals .4549 and .4551 - both satisfy A. But when rounded to nearest 100, they would be .45 and .46 hence A by itself is INSUFFICIENT.

A along with B says the decimal will be rounded to .46 to the nearest hundredth.
CEO
Joined: 17 May 2007
Posts: 2917

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20 Jun 2008, 15:24
Good so C is confirmed as the answer then.

maximusdecimus wrote:
There are several rounding rules but after reading your examples i had to check the book for the rule that GMAT employs.
Here is the rule:
To round off a decimal ,look at the digit to the right of the digits place you are rounding to.If that number is 0-4 ,then there is no change.If that number is 5-9 then round up.

bsd_lover wrote:
Consider decimals .4549 and .4551 - both satisfy A. But when rounded to nearest 100, they would be .45 and .46 hence A by itself is INSUFFICIENT.

A along with B says the decimal will be rounded to .46 to the nearest hundredth.
Current Student
Joined: 28 Dec 2004
Posts: 3312
Location: New York City
Schools: Wharton'11 HBS'12

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20 Jun 2008, 15:40
I am lost on this one..

we already know the 1000th digit..its 5..we rounded it up..right..the number is x=0.455<- thousandth digit..

so shouldnt this round up to 0.45<- 100th digit?

bsd_lover wrote:
Good so C is confirmed as the answer then.

maximusdecimus wrote:
There are several rounding rules but after reading your examples i had to check the book for the rule that GMAT employs.
Here is the rule:
To round off a decimal ,look at the digit to the right of the digits place you are rounding to.If that number is 0-4 ,then there is no change.If that number is 5-9 then round up.

bsd_lover wrote:
Consider decimals .4549 and .4551 - both satisfy A. But when rounded to nearest 100, they would be .45 and .46 hence A by itself is INSUFFICIENT.

A along with B says the decimal will be rounded to .46 to the nearest hundredth.
CEO
Joined: 17 May 2007
Posts: 2917

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20 Jun 2008, 15:56
fresinha consider my examples :
.4549 rounded to 2 digits = .45 but rounded to 3 digits its .455
.4551 rounded to 2 digits = .46 but rounded to 3 digits its .455

fresinha12 wrote:
I am lost on this one..

we already know the 1000th digit..its 5..we rounded it up..right..the number is x=0.455<- thousandth digit..

so shouldnt this round up to 0.45<- 100th digit?

Intern
Joined: 15 Jun 2008
Posts: 8

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20 Jun 2008, 17:36
you might be mixing up statement 1 & 2. Statement 2 doesnt tell you anything regarding the number, it only tells you that the thousandths digit is 5, but the hundreths digit could be anything......
Intern
Joined: 24 May 2008
Posts: 32

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20 Jun 2008, 21:08
Good explanation! Thanks guys!!
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Regards,
Mahesh Vollala

Manager
Joined: 31 Jul 2006
Posts: 226

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21 Jun 2008, 07:11
maheshkrishna wrote:
What is the result when X is rounded to the nearest hundredth?

1) When X is rounded to the nearest thousand the result would be 0.455
2) The thousandth digit of X is 5

1: When X is rounded to the nearest thousand the result would be 0.455. So when X is rounded to the nearest hundredth it should be 0.45: Sufficient
2: Not sufficient

But OA is Both 1 & 2

Can some one explain the logic here? Thanks!

a.Statement 1 is insufficient. because the number can be .4549 or .4554 so x rounded to hundredths digit can not be determined
b. statement 2 is insufficient, If the thousandth digit is 5, then definetely the hundredths digit is rounded up, but the hundredths digit is not given (can be .1235 therefore hundredhts is 4 ; or .2345 therefore hundredths is 5)
Put together, statements are sufficient
Intern
Joined: 31 Dec 2008
Posts: 11

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04 Jan 2009, 10:58
maximusdecimus wrote:
There are several rounding rules but after reading your examples i had to check the book for the rule that GMAT employs.
Here is the rule:
To round off a decimal ,look at the digit to the right of the digits place you are rounding to.If that number is 0-4 ,then there is no change.If that number is 5-9 then round up.

bsd_lover wrote:
Consider decimals .4549 and .4551 - both satisfy A. But when rounded to nearest 100, they would be .45 and .46 hence A by itself is INSUFFICIENT.

A along with B says the decimal will be rounded to .46 to the nearest hundredth.

this is surprising to see that in GMAT has its own rule for rounding. We always perform rounding from extreme right toward left till the place we want to round. So once we know that rounding till 1000th place is .455, for finding rounded digit till 100th place it doesn't matter what was there on 10000th place and beyond that.

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Decimal problem   [#permalink] 04 Jan 2009, 10:58
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# What is the result when X is rounded to the nearest

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