Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46035

If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
29 Oct 2015, 01:23
Question Stats:
67% (00:54) correct 33% (00:52) wrong based on 130 sessions
HideShow timer Statistics



Manager
Joined: 13 Apr 2015
Posts: 75
Concentration: General Management, Strategy
GPA: 3.25
WE: Project Management (Energy and Utilities)

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
29 Oct 2015, 09:11
Ans Should be E.
The question asks whether X is a factor of 64, i.e whether X is either of these No. 1,2, 4, 8, 16, 32, 64.( all of both parity ).
Statement 1  X is a multiple of 4. If it is 4 or 8 answer will be yes, however if X is 12 or 24 the answer will be No. Therefore Not Sufficient.
Statement 2  X is bitween 8 and 64 ( Inclusive ), Same as Statement 1, if X is 8 or 16 answer will be yes and if X is 12 or 24 the answer will be No.
Therefore Not sufficient.
Combining both statements, X is a multiple of 4 which lies between 8 & 64 ( Inclusive ). As detailed above the answer will be ambiguous.
Hence E.



Manager
Joined: 29 Aug 2013
Posts: 75
Location: United States
Concentration: Finance, International Business
GMAT 1: 590 Q41 V29 GMAT 2: 540 Q44 V20
GPA: 3.5
WE: Programming (Computer Software)

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
29 Oct 2015, 09:24
Bunuel wrote: If x is a nonzero integer (40 + 24)/x is an integer?
(1) x is a multiple of 4
(2) 8 <= x <= 64
Kudos for a correct solution. 1 st Statement : If x is a multiple of 4 then x = 4m; now if m = 1,2 then the expression is an integer but if m = 3 i.e. x = 12 then the expression is a non integer. Therefore insufficient. 2nd Statement : x can be any integer value between 8 and 64. If x = 8 then the expression is an integer if x = 9 then it is not. Therefore insufficient Combining 1 and 2 : x can be any integer value between 8 and 64 and is a multiple of 4 i.e. x = 8,12,16 ... Therefore if x = 8 then yes if x = 12 then no.. Hence insufficient. Therefore answer should be E



Manager
Status: Just redeemed Kudos for GMAT Club Test !!
Joined: 14 Sep 2013
Posts: 93
Location: Bangladesh
GPA: 3.56
WE: Analyst (Commercial Banking)

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
29 Oct 2015, 09:32
Quote: If x is a nonzero integer (40 + 24)/x is an integer? (1) x is a multiple of 4 (2) 8 <= x <= 64
Kudos for a correct solution. The question stem asks for whether 64/x is an integer ? i.e. whether x is a factor of 64. Statement 1 says, x is a multiple of 4. However, NOT all multiples of 4 are factor of 64. eg. 12,40 etc. NOT Sufficient. Statement 2 says, 8 <= x <= 64. i.e. value of x is any number within this range. Some will be factor of 64 & some will not. NOT Sufficient. Combining 1 & 2 gives the same dual result as statement 1 & 2. So Option (E) wins.
_________________
______________ KUDOS please, if you like the post or if it helps "Giving kudos" is a decent way to say "Thanks"
Master with structure  Numerical comparison [source: economist.com] https://gmatclub.com/forum/masterwithstructurenumericalcomparison233657.html#p1801987



Current Student
Joined: 11 Jul 2015
Posts: 17
Location: United States
GMAT 1: 650 Q47 V32 GMAT 2: 710 Q46 V41
GPA: 3.4
WE: Supply Chain Management (Aerospace and Defense)

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
29 Oct 2015, 17:47
x could be 12 or 16 for either statement. NS for either. Ans E



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11794
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
30 Oct 2015, 13:55
Bunuel wrote: If x is a nonzero integer (40 + 24)/x is an integer?
(1) x is a multiple of 4
(2) 8 <= x <= 64
Hi Bunuel, Is this prompt formatted correctly? It seems odd to ask if (40+24)/X is an integer (as opposed to just writing it as "is 64/X an integer?"); is it meant to be 40 + (24/X)? GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Math Expert
Joined: 02 Sep 2009
Posts: 46035

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
31 Oct 2015, 03:30



Current Student
Joined: 28 Nov 2014
Posts: 895
Concentration: Strategy
GPA: 3.71

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
31 Oct 2015, 11:40
If x is a nonzero integer (40 + 24)/x is an integer?
(1) x is a multiple of 4 (2) 8 <= x <= 64 ____________________________
Is 64/x = Integer ? This is possible only when x divides 64 leaving no remainder.
1) x = multiple of 4 4, x = integer 68, x != integer Not Sufficient
2) x = 8,9,10,11,12.........,64 Not sufficient. Take x=8 or x=11
On combining, x = 11 (Not Suff), 8(Suff)
E it is



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5572
GPA: 3.82

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
01 Nov 2015, 00:33
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. If x is a nonzero integer (40 + 24)/x is an integer? (1) x is a multiple of 4 (2) 8 <= x <= 64 If we modify the question, we ultimately want to know whether x is a factor of 64. There is one variable (x) and we need one equation to solve for the question; there are 2 equations given from the 2 conditions, making (D) our likely answer. In condition 1, the answer is 'yes' when x=4, but 'no' when it is 12. This condition is insufficient. In condition 2, the answer is 'yes' when x=4, but 'no' when it is 12. This condition is insufficient. When looking at the conditions together, the answer is 'yes' when x=4, but 'no' when it is 12. This conditions as a whole are insufficient. 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.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



NonHuman User
Joined: 09 Sep 2013
Posts: 7000

Re: If x is a nonzero integer (40 + 24)/x is an integer? [#permalink]
Show Tags
28 Sep 2017, 06:19
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If x is a nonzero integer (40 + 24)/x is an integer?
[#permalink]
28 Sep 2017, 06:19






