Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: If x is a positive integer greater than 1, what is the value of x?
[#permalink]

Show Tags

19 Jul 2016, 12:49

2

Top Contributor

4

Bunuel wrote:

If x is a positive integer greater than 1, what is the value of x?

(1) 2x is a common factor of 18 and 24 (2) x is a factor of 6

Target question:What is the value of x?

Given: x is a positive integer greater than 1

Statement 1: 2x is a common factor of 18 and 24 Positive factors of 18: 1, 2, 3, 6, 9, 18 Positive factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 COMMON factors of 18 and 24: 1, 2, 3, 6 So, 2x = 1, 2x = 2, 2x = 3 or 2x = 6 This means, x = 0.5, x = 1, x = 1.5 or x = 3 Since we're told that x is a positive integer greater than 1, we can see that x MUST equal 3 Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x is a factor of 6 So, x could equal 1, 2, 3, or 6 Since we're told that x is a positive integer greater than 1, we can see that x COULD equal 2, 3, or 6 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Re: If x is a positive integer greater than 1, what is the value of x?
[#permalink]

Show Tags

22 Jun 2017, 14:49

If x is a positive integer greater than 1, what is the value of x?

x>1

(1) 2x is a common factor of 18 and 24

As 2x is a common fator of 18 & 24, lets fiigure out what can take the value of 2x

18 = 1*2*3*3 24 = 1*2*2*2*3

Common factors are: 1*2*3 = = 2*3 - Here 3 replaces x from the equation 2x, so get the value of x = 3 which is > 1

Hence =====> (1) is SUFFICIENT

(2) x is a factor of 6

x is a factor of 6

Which means x can be any of these numbers: 1, 2, 3

As you an clearly see that we can have twp possibilities, =1 and >1 we really cannot answer the question is x > 1.

Hence, =====> (2) is NOT-SUFFICIENT

Hence - Answer is A _________________

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475