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What is the value of the integer x ?

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What is the value of the integer x ?  [#permalink]

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New post 06 Oct 2016, 00:18
1
8
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (00:52) correct 14% (00:50) wrong based on 553 sessions

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Re: What is the value of the integer x ?  [#permalink]

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New post 07 Dec 2017, 06:35
5
Bunuel wrote:
What is the value of the integer x ?

(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.


We need to determine the value of x.
Statement One Alone:

x rounded to the nearest hundred is 7,200.

Knowing that x rounded to the nearest hundred is 7,200 is not enough information to determine x. For instance, if x = 7,194, it will be rounded to 7,200, or if x = 7,211, it will be also rounded to 7,200. Statement one alone does not provide enough information to answer the question. Eliminate answer choices A and D.


Statement Two Alone:

The hundreds digit of x is 2.

There are many numbers with a hundreds digit of 2. Knowing the hundred digits alone will not allow us to determine x. Statement two alone does not provide enough information to answer the question. Eliminate answer choice B.

Statements One and Two Together:

Using our two statements together, we know that x rounded to the nearest hundred is 7,200 and the hundreds digit of x is 2. However, we still do not have enough information to answer the question. For instance, x could equal 7,201 or 7,202, giving us two different values of x.

Answer: E
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Re: What is the value of the integer x ?  [#permalink]

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New post 06 Oct 2016, 01:13
Bunuel wrote:
What is the value of the integer x ?

(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.



Stat 1: We don't round the values unless we have decimal.. so here value of x here is 2..Sufficient.

Stat 2: direct information...Sufficient...

IMO option D.
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Re: What is the value of the integer x ?  [#permalink]

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New post 06 Oct 2016, 03:06
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1
Bunuel wrote:
What is the value of the integer x ?

(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.



Statement 1- Value can be in between the values 7150- 7249
Statement 2- Clearly not sufficient as we do not even know no. of digits in the number.

When combining, the value of X can still be any no in between 7200-7249.

Answer-E
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What is the value of the integer x ?  [#permalink]

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New post 06 Oct 2016, 10:20
its given the integer is x

From Stmnt1-x rounded to the nearest hundred is 7,200.
this means x can lie between 7150 to 7249. Hence statement 1 alone not sufficient

From stmnt2- The hundreds digit of x is 2.
this means hundredth's place of x is 2. We do not even know how many digits x has. hence 2 statement alone not sufficient

if we combine the statements, we can only conclude that the integer lies between 7200-7249. we still do not know the final value of x

Hence final answer is E
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Re: What is the value of the integer x ?  [#permalink]

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New post 08 Oct 2016, 03:22
msk0657 wrote:
Bunuel wrote:
What is the value of the integer x ?

(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.



Stat 1: We don't round the values unless we have decimal.. so here value of x here is 2..Sufficient.

Stat 2: direct information...Sufficient...

IMO option D.


Dude, x is NOT the hundred digit , rather x is a number, which when rounded to nearest hundred gives 7200.

I think you have not read the question carefully. Please go through it once again.
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Re: What is the value of the integer x ?  [#permalink]

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New post 08 Oct 2016, 06:57
Hi,

Statement 1 => x rounded to the nearest hundred is 7,200. => No rounding off required => 2. SUF
The hundreds digit of x is 2. => Value is 2 . SUFF

Hence D
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Re: What is the value of the integer x ?  [#permalink]

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New post 08 Oct 2016, 08:18
Manonamission wrote:
Hi,

Statement 1 => x rounded to the nearest hundred is 7,200. => No rounding off required => 2. SUF
The hundreds digit of x is 2. => Value is 2 . SUFF

Hence D


You are also missing something here. Please read my explanation above. Answer should not be D.
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Re: What is the value of the integer x ?  [#permalink]

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Re: What is the value of the integer x ?   [#permalink] 27 Dec 2018, 02:35
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