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# What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
What is the value of x?  [#permalink]

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22 Feb 2016, 03:38
1
00:00

Difficulty:

15% (low)

Question Stats:

76% (00:44) correct 24% (00:39) wrong based on 101 sessions

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What is the value of x?

(1) 9 < 3x < 15
(2) x/2 is an even integer

Kudos for correct solution.

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Joined: 01 Sep 2010
Posts: 3306
Re: What is the value of x?  [#permalink]

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22 Feb 2016, 03:47
2
A) $$3< x < 5$$ not sufficient we do not know if x is or not an integer

B) $$x^2 = even integer$$ insifficient could be any value

A) + B) suff is 4

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Joined: 02 Sep 2009
Posts: 50627
Re: What is the value of x?  [#permalink]

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22 Feb 2016, 03:51
1
carcass wrote:
A) $$3< x < 5$$ not sufficient we do not know if x is or not an integer

B) $$x^2 = even integer$$ insifficient could be any value

A) + B) suff is 4

Sorry, there was a typo. The second statement reads x/2 is an even integer.
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Re: What is the value of x?  [#permalink]

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22 Feb 2016, 04:40
(1) 9 < 3x < 15
=> 3< x < 5
Not sufficient as x can take non integer values between 3 and 5

(2) x/2 is an even integer
x= x/2 * 2 = even * even = even
=> x is even integer
Not sufficient

Combining 1 and 2 , we get
x=4

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Joined: 06 Nov 2014
Posts: 1882
Re: What is the value of x?  [#permalink]

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22 Feb 2016, 20:06
1
Bunuel wrote:
What is the value of x?

(1) 9 < 3x < 15
(2) x/2 is an even integer

Kudos for correct solution.

Statement 1: 9 < 3x < 15
3 < x <5
Insufficient

Statement 2:
x/2 is even
Clearly insufficient

Combining Statement 1 and 2:
The only even integral value between 3 and 5 is 4
Sufficient

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

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22 Feb 2016, 20:54
1
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

What is the value of x?

(1) 9 < 3x < 15
(2) x/2 is an even integer

In the original condition, there is 1 variable(x), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), 3<x<5 -> x=4,4.1...., which is not unique and not sufficient.
For 2), x/2=even, x=2even=multiple of 4=4,8.., which is not unique and not sufficient.
When 1) & 2), x=4, which is unique and sufficient.

 For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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Re: What is the value of x?  [#permalink]

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22 Feb 2016, 21:25
4
(1) 9 < 3x < 15
=> 3< x < 5
Not sufficient as x can take non integer values between 3 and 5

(2) x/2 is an even integer
x= x/2 * 2 = even * even = even
=> x is even integer
Not sufficient

Combining 1 and 2 , we get
x=4
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Posts: 8817
Re: What is the value of x?  [#permalink]

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04 Nov 2017, 08:44
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Re: What is the value of x? &nbs [#permalink] 04 Nov 2017, 08:44
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