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What is the result when X is rounded to the nearest

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

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New post 18 Jun 2008, 23:39
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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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Re: Decimal problem [#permalink]

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New post 19 Jun 2008, 00:29
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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.

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Re: Decimal problem [#permalink]

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New post 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.

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Re: Decimal problem [#permalink]

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New post 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.

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Re: Decimal problem [#permalink]

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New post 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.

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Re: Decimal problem [#permalink]

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New post 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.

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Re: Decimal problem [#permalink]

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New post 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?

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Re: Decimal problem [#permalink]

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New post 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......

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Re: Decimal problem [#permalink]

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New post 20 Jun 2008, 21:08
Good explanation! Thanks guys!!
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Re: Decimal problem [#permalink]

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New post 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!

My answer is c.
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

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Re: Decimal problem [#permalink]

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New post 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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Re: Decimal problem   [#permalink] 04 Jan 2009, 10:58
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