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

 It is currently 18 Sep 2018, 22:24

### 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 is a non-zero integer (40 + 24)/x is an integer?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49231
If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

29 Oct 2015, 01:23
00:00

Difficulty:

35% (medium)

Question Stats:

66% (00:55) correct 34% (00:52) wrong based on 134 sessions

### HideShow timer Statistics

If x is a non-zero integer (40 + 24)/x is an integer?

(1) x is a multiple of 4

(2) 8 <= x <= 64

Kudos for a correct solution.

_________________
Manager
Joined: 13 Apr 2015
Posts: 75
Concentration: General Management, Strategy
GMAT 1: 620 Q47 V28
GPA: 3.25
WE: Project Management (Energy and Utilities)
Re: If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

29 Oct 2015, 09:11
1
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: 74
Location: United States
GMAT 1: 590 Q41 V29
GMAT 2: 540 Q44 V20
GPA: 3.5
WE: Programming (Computer Software)
Re: If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

29 Oct 2015, 09:24
Bunuel wrote:
If x is a non-zero 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.

Manager
Status: Just redeemed Kudos for GMAT Club Test !!
Joined: 14 Sep 2013
Posts: 94
GMAT 1: 530 Q40 V23
GPA: 3.56
WE: Analyst (Commercial Banking)
Re: If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

29 Oct 2015, 09:32
2
Quote:
If x is a non-zero 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/master-with-structure-numerical-comparison-233657.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 non-zero 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/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12411
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

30 Oct 2015, 13:55
Bunuel wrote:
If x is a non-zero 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

Co-Founder & 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: 49231
Re: If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

31 Oct 2015, 03:30
EMPOWERgmatRichC wrote:
Bunuel wrote:
If x is a non-zero 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

Hi Rich,

Yes, in the source it's (40+24)/x. Why didn't they write 64/x, is a mystery for me too...
_________________
Current Student
Joined: 28 Nov 2014
Posts: 880
Concentration: Strategy
Schools: Fisher '19 (M)
GPA: 3.71
Re: If x is a non-zero integer (40 + 24)/x is an integer?  [#permalink]

### Show Tags

31 Oct 2015, 11:40
If x is a non-zero 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: 6206
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If x is a non-zero 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 non-zero 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 one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only \$99 for 3 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: 8071
Re: If x is a non-zero 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.
_________________
Re: If x is a non-zero integer (40 + 24)/x is an integer? &nbs [#permalink] 28 Sep 2017, 06:19
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.