GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 12:32

### GMAT Club Daily Prep

#### 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

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

# If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8017
GMAT 1: 760 Q51 V42
GPA: 3.82
If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even  [#permalink]

### Show Tags

Updated on: 03 Jul 2017, 20:29
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:32) correct 35% (01:28) wrong based on 142 sessions

### HideShow timer Statistics

If x and y are positive integers and $$y(2^x)=24$$, x=?

1) x≥2
2) y is even

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 03 Jul 2017, 17:59. Last edited by chetan2u on 03 Jul 2017, 20:29, edited 1 time in total. formatted the Q Math Expert Joined: 02 Aug 2009 Posts: 7991 Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even [#permalink] ### Show Tags 03 Jul 2017, 20:26 MathRevolution wrote: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even Hi, The Q must be .. $$y*2^x=24......$$ Now $$24=3*2^3=6*2^2=12*2^1$$ Now let's see the statements.. 1) x≥2 So x can be 2 or 3 Insufficient 2) y is even Means it is 6*2^2 or 12*2^1 So x can be 1 or 2 Insufficient Combined.. Ans is 2 C _________________ Retired Moderator Joined: 22 Aug 2013 Posts: 1428 Location: India Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even [#permalink] ### Show Tags 03 Jul 2017, 20:37 y* 2^x = 24 or y = 24/2^x.. Both x and y have to be positive integers If x=1, then y = 24/2 = 12 If x=2, then y = 24/4 = 6 If x=3, then y = 24/8 = 3 x cannot take any other value because then y will not be an integer. Statement 1. x>=2.. two values of x are still possible: 2 and 3. So Insufficient Statement 2. y is even.. two values of x are possible: 1 and 2. So Insufficient. Combining the statements: x can only be 2. Sufficient. Hence C answer Intern Joined: 05 Jun 2017 Posts: 1 Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even [#permalink] ### Show Tags 04 Jul 2017, 04:18 MathRevolution wrote: If x and y are positive integers and $$y(2^x)=24$$, x=? 1) x≥2 2) y is even I had the answer E. Statement 1: If x is 2, 2x2=4, therefore 4x6=24 but also, if x is 6, 2x6=12, therefore 12x2=24, so insufficient Statement 2: As above, y can be even, but x still not be exclusively determined, hence insufficient. Both together - same examples, x could be 2 or 6, with y being even (in those cases 4 and 12), therefore both are insufficient = E?? VP Joined: 30 Jan 2016 Posts: 1160 Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even [#permalink] ### Show Tags 04 Jul 2017, 07:29 aroussel wrote: MathRevolution wrote: If x and y are positive integers and $$y(2^x)=24$$, x=? 1) x≥2 2) y is even I had the answer E. Statement 1: If x is 2, 2x2=4, therefore 4x6=24 but also, if x is 6, 2x6=12, therefore 12x2=24, so insufficient Statement 2: As above, y can be even, but x still not be exclusively determined, hence insufficient. Both together - same examples, x could be 2 or 6, with y being even (in those cases 4 and 12), therefore both are insufficient = E?? 24 is comprised of 2 x 2 x 2 x 3 = 24. So, the max power of x is 3. (1) if x is 2, then 2^x = 4, then y must be 6. If x=3, then 2^x = 8, then y must be 3 (2) y might be 24, if x=0 y might be 12, if x =1 => not sufficient (1)+(2) a) if x=3, then y=3 - from st.2, y is even, not odd b) if x = 2, then y=6 - the only values of x and y, hence C _________________ Non progredi est regredi Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even [#permalink] ### Show Tags 05 Jul 2017, 01:01 ==> In the original condition, there are 2 variables (a,b), and in order to match the number of variables to the number of equations there must be 2 equations as well. Since there is 1 for con 1) and 1 for con 2) C is most likely to be the answer. By solving con 1) and con 2), you get $$24=6(2^2).$$ The answer is C. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Non-Human User
Joined: 09 Sep 2013
Posts: 13315
Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even  [#permalink]

### Show Tags

10 Aug 2018, 17:05
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If x and y are positive integers and y(2x)=24, x=? 1) x≥2 2) y is even   [#permalink] 10 Aug 2018, 17:05
Display posts from previous: Sort by