What is the value of x?

Question

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

Kudos for correct solution.

Carcass · Answer

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

Bunuel · Answer

Sorry, there was a typo. The second statement reads  x/2  is an even integer.

Skywalker18 · Answer

(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

Answer C

OptimusPrepJanielle · Answer

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

MathRevolution · Answer

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.

shakticnb · Answer

(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

Answer C

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

What is the value of x?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

What is the value of x?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards