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# What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
What is the value of x?  [#permalink]

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22 Feb 2016, 04:38
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15% (low)

Question Stats:

74% (00:47) correct 26% (00:40) wrong based on 142 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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Re: What is the value of x?  [#permalink]

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22 Feb 2016, 04:47
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

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

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22 Feb 2016, 04:51
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

C is the answer

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, 05:40
(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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Re: What is the value of x?  [#permalink]

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22 Feb 2016, 21:06
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, 21:54
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.
Therefore, the answer is C.

 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, 22:25
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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Re: What is the value of x?  [#permalink]

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25 Nov 2018, 00:49
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Re: What is the value of x?   [#permalink] 25 Nov 2018, 00:49
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# What is the value of x?

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