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# Data Sufficiency What is the result when X is rounded to the

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Data Sufficiency What is the result when X is rounded to the [#permalink]  03 Aug 2009, 12:58
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Data Sufficiency
What is the result when X is rounded to the nearest hundredth?
1. When X is rounded to the nearest thousandth the result is 0.455.
2. The thousandth digit of X is 5.
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Re: X rounded to nearest hundredth [#permalink]  03 Aug 2009, 13:06
nitindas wrote:
Data Sufficiency
What is the result when X is rounded to the nearest hundredth?
1. When X is rounded to the nearest thousandth the result is 0.455.
2. The thousandth digit of X is 5.

though the question wording is a bit weak ( what is the result not what is the value)

from 1

0.46 when rounded...suff

from 2

no idea what x is ..........insuff

A
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Re: X rounded to nearest hundredth [#permalink]  03 Aug 2009, 13:07
1. When X is rounded to the nearest thousandth the result is 0.455.

X could be 0.4546, in which case x rounded to nearest hundredth is 0.45

X could also be 0.4551 in which case x rounded to nearest hundredth us 0.45.

So irrespective X rounded to nearest hundredth is always 0.45.
Hence SUFF

2. The thousandth digit of X is 5.

Doesn't tell you anything about hundredth's digit.
X = 0.435 => x rounded to nearest hundredth is 0.44.
x = 0.875 => x rounded to nearest hundredth is 0.88
INSUFF

What is the OA???
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Re: X rounded to nearest hundredth [#permalink]  03 Aug 2009, 15:11
I also marked A but OA is C. Don't know how.
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Re: X rounded to nearest hundredth [#permalink]  03 Aug 2009, 15:47
statement 1 by itself is not suff. for ex.

0.4546, when rounded to hundredth is 0.45, when rounded to thousandth is 0.455
0.4551, when rounded to hundredth is 0.46, when rounded to thousandth is 0.455

but adding statement 2 to it, we have the thousandth is a 5, then x must be 0.4545..so you'll need both statements
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Re: X rounded to nearest hundredth [#permalink]  05 Aug 2009, 07:56
IMO C.
from stmnt 1)
we know, x rounded to thousandth = .455
hence , x can be .4551 for which x rounded to nearest hundredth = .46
or x can be .4549 for which rounding to nearest hundredth will give x = .45
hence in suff

from b) we don't about the other digits of x.

combining x =.455n hence x rounded to nearest hundredth= .46

hence C
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Re: X rounded to nearest hundredth [#permalink]  05 Aug 2009, 13:12
[EDIT - REMOVED BY THE USER]

Last edited by nplaneta on 17 Jun 2012, 19:14, edited 1 time in total.
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DS - Digits [#permalink]  26 Oct 2009, 14:49
hey, can anybody help me?

What is the result when x is rounded to the nearest hundredth?
1) When x is rounded to the nearest thousandth the result is 0.455.
2) The thousandths digit of x is 5.

Isn't 0,455 rounded 0,46?
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Re: DS - Digits [#permalink]  26 Oct 2009, 16:47
I believe the answer is C.

Statement 1: When x is rounded to the nearest thousandth the result is 0.455.

Two cases.

Case 1: Thousandths digit is 5 (0.4550 <= x < 0.4555). Then x rounded to the nearest hundredth would be 0.46.
Case 2: Thousandths digit is 4 (0.4545 < x < 0.4550). Then x rounded to the nearest hundredth would be 0.45.

Therefore, insufficient.

Statement 2: The thousandths digit of x is 5.

Doesn't give any information about any of the other digits of x. Insufficient.

Evaluting Both Statements.

Since we know that the thousandths digit of x is 5, this falls under Case 1. X rounded to the nearest hundredths digit if 0.46. Therefore, sufficient.
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Re: DS - Digits [#permalink]  26 Oct 2009, 16:49
phoenixgmat wrote:
hey, can anybody help me?

What is the result when x is rounded to the nearest hundredth?
1) When x is rounded to the nearest thousandth the result is 0.455.
2) The thousandths digit of x is 5.

Isn't 0,455 rounded 0,46?

No.
If the thousandths digit is 4, e.g. 0.4549, the nearest thousandth is 0.455 and the nearest hundredth is 0.45
If the thousandths digit is 5, e.g. 0.4551, the nearest thousandth is 0.455 and the nearest hundredth is 0.46.

Therefore we need the information from (2) to state that x rounded to the nearest hundredth is 0.46, so the answer is C.
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Re: DS - Digits [#permalink]  26 Oct 2009, 16:51
AKProdigy87 wrote:
I believe the answer is C.

You've beat me to it
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Rounded X [#permalink]  18 Dec 2009, 15:32
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[Reveal] Spoiler:
C

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Re: Rounded X [#permalink]  18 Dec 2009, 16:51
1. 4.5546 <= 4.5554
insufficient as x could equal 4.55 or 4.56

2. x could be anything so insufficient

together sufficient and x = 4.56
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Re: Rounded X [#permalink]  18 Dec 2009, 17:45
0.455 rounded to 1000th.
Statement 1 alone is sufficient.
Since we do not need to know digits beyond the thousand for rounding off to 100th.
This is 4.56 rounded to 100.
The number could be either 0.4554 or 0.4546 since the 100th digit is influenced only by the 1000th digit
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Re: Rounded X [#permalink]  18 Dec 2009, 22:30
lagomez wrote:
1. 4.5546 <= 4.5554
insufficient as x could equal 4.55 or 4.56

2. x could be anything so insufficient

together sufficient and x = 4.56

IMO A should be the ans
i am not getting your point for s1)
x when rounded to 1000th is 0.455----> when is rounded to 100th then x willb be .46
hence it should be suff...

pls help
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gmat prep DS [#permalink]  19 Jun 2010, 03:51
In the attached problem statement 1 provides the number after rounding whcih is sufficient to ans the Q. But OA is still C. Can somebody please explain?
Attachments

GMAT Prep_DS.doc [70.5 KiB]

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Re: Rounded X [#permalink]  19 Jun 2010, 06:01
Apology for repeat query.

But I still feel the OA should A. Look at the Q. What is the result after X rounded off to nearest hundredth ie. Two digits after the decimal.
As explained by many, it is possible to ans this using only Statement 1 as follows:
Cases:
1. If the number is 0.4549 after rounding off to nearest hundredth it is 0.46
2. If the number 0.455 after rounding off to nearest hundredth it is 0.46
3. If the number 0.455 after rounding off to nearest hundredth it is 0.46
In any of the above cases the final rounding number remains same ie. 0.455. Is my logic correct or am I missing something?
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Re: Rounded X [#permalink]  19 Jun 2010, 06:09
gmatcracker2010 wrote:
Apology for repeat query.

But I still feel the OA should A. Look at the Q. What is the result after X rounded off to nearest hundredth ie. Two digits after the decimal.
As explained by many, it is possible to ans this using only Statement 1 as follows:
Cases:
1. If the number is 0.4549 after rounding off to nearest hundredth it is 0.46
2. If the number 0.455 after rounding off to nearest hundredth it is 0.46
3. If the number 0.455 after rounding off to nearest hundredth it is 0.46
In any of the above cases the final rounding number remains same ie. 0.455. Is my logic correct or am I missing something?

Red part is not correct: 0.4549 rounded to the nearest hundredth = 0.45, since the first dropped 4 is less than 5.

Rounding rules

Rounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, round up the last digit that you keep. If the first dropped digit is 4 or smaller, round down (keep the same) the last digit that you keep.

Example:
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5.
5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5.
5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.

Hope it helps.
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Re: Rounded X [#permalink]  19 Jun 2010, 23:39
Thanks. But i guess when we round off any decimal we do consider all the numbers.

For eg. rounding of 0.4549 will require to first drop 9 by increasing 4 to 5 and then increase 5 to 6 and drop 5.

Is my logic correct?
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Re: Rounded X [#permalink]  20 Jun 2010, 06:15
gmatcracker2010 wrote:
Thanks. But i guess when we round off any decimal we do consider all the numbers.

For eg. rounding of 0.4549 will require to first drop 9 by increasing 4 to 5 and then increase 5 to 6 and drop 5.

Is my logic correct?

No, your logic is not correct. Rounding has certain rules and these rules are explained in my previous post.
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Re: Rounded X   [#permalink] 20 Jun 2010, 06:15
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