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# If x is a positive number, rounded to the nearest integer,

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Director
Joined: 04 Jan 2008
Posts: 859
If x is a positive number, rounded to the nearest integer, [#permalink]

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28 Mar 2009, 10:28
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50% (03:55) correct 50% (01:00) wrong based on 3 sessions

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If x is a positive number, rounded to the nearest integer, is x^2 equal to 25?

(1) x rounded to the nearest integer is 5.
(2) x^3 rounded to the nearest integer is 125.

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Manager
Joined: 19 May 2008
Posts: 160
Location: Mumbai

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28 Mar 2009, 10:35
Answer is D - each statement is self sufficient.
What is the OA? Or was I too quick to the answer?
Director
Joined: 04 Jan 2008
Posts: 859

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28 Mar 2009, 10:54
Even i thought its D
But check (1)if x=4.5, x^2=20.25, x^2 rounded to the nearest integer is 20. INSUFF
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Director
Joined: 01 Apr 2008
Posts: 846
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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28 Mar 2009, 11:05
Correct. I go with E.
In both cases we cant be sure that x is exactly equal to 5 ( only in this case x^2 is exactly 25 ).
wat is OA?

nitya34 wrote:
Even i thought its D
But check (1)if x=4.5, x^2=20.25, x^2 rounded to the nearest integer is 20. INSUFF
Manager
Joined: 19 Aug 2006
Posts: 232

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28 Mar 2009, 11:06
nitya34 wrote:
If x is a positive number, rounded to the nearest integer, is x^2 equal to 25?

(1) x rounded to the nearest integer is 5.
(2) x^3 rounded to the nearest integer is 125.

I think it should be E, as there's >1 number that would satisfy each equation.
Director
Joined: 04 Jan 2008
Posts: 859

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28 Mar 2009, 11:11
OE says its B
From statement 2, x^3 rounded to the nearest integer is 125, 4.99<x
<5.01,then x^2 is rounded to 25. SUFF.

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Manager
Joined: 19 May 2008
Posts: 160
Location: Mumbai

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28 Mar 2009, 11:14
Look at the question
"If x is a positive number, rounded to the nearest integer, is x^2 equal to 25?"

That means x is rounded to the nearest integer before squaring.
Is 4.5 4 or 5 - depending on that the answer changes - if it is 4, then statement 1 is insufficient.

According to statement 2, x has to be > 4.99 and less than 5. So it looks like that also satisfies.

Or maybe I am just beating about the bush!

So it is either B or D now depending on how you take statement 1.
Manager
Joined: 19 May 2008
Posts: 160
Location: Mumbai

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28 Mar 2009, 11:15
So then Statement 1 is insufficient then. In that sense B is the right answer.

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Re: DS-Nearest Integer   [#permalink] 28 Mar 2009, 11:15
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