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

 It is currently 21 Feb 2019, 01:55

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# The numbers x and y are NOT integers. The value of x is

Author Message
TAGS:

### Hide Tags

Manager
Joined: 27 Oct 2009
Posts: 119
Location: Montreal
Schools: Harvard, Yale, HEC
The numbers x and y are NOT integers. The value of x is  [#permalink]

### Show Tags

Updated on: 09 Apr 2012, 11:37
1
22
00:00

Difficulty:

55% (hard)

Question Stats:

64% (01:45) correct 36% (01:39) wrong based on 607 sessions

### HideShow timer Statistics

The numbers x and y are NOT integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x+y
(2) 1 is the integer that is closest to x-y

Originally posted by ezinis on 04 Jan 2011, 12:52.
Last edited by Bunuel on 09 Apr 2012, 11:37, edited 1 time in total.
Edited the question
Math Expert
Joined: 02 Sep 2009
Posts: 53060
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

04 Jan 2011, 13:05
19
8
The numbers x and y are NOT integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x+y --> $$3.5<x+y<4.5$$. Not sufficient.
(2) 1 is the integer that is closest to x-y --> $$0.5<x-y<1.5$$. Not sufficient.

(1)+(2) Sum above inequalities: $$4<2x<6$$ --> $$2<x<3$$ --> so $$x$$ can be closer to 2 (for example if $$x=2.1$$) as well as to 3 (for example if $$x=2.9$$). Not sufficient.

Check similar question: if-500-is-the-multiple-of-99421.html

Hope it helps.
_________________
##### General Discussion
Intern
Status: ThinkTank
Joined: 07 Mar 2009
Posts: 23

### Show Tags

04 May 2011, 09:52
2
Numbers X and Y are not integers. the value of x is closest to which integer?

A. 4 is the integer that is closest to X+Y
B. 1 is the integer that is closest to X-Y

---

1) so x + y equals 3.51 to 4.49 and x can be 0.52 and close to one or could be equal 3.48 and close to 3. Insuff. AD out

2) so x - y can be equal to 0.51 or 1.49 for example and x can be 1.01 and close to 1 or x could be 0.48 and x close to 0 Insuff B out

1+2) we know 3.51 < x + y < 4.49
0.51 < x - y < 1.49

If we add both y cancels out and we get 4.02 < 2x < 5.98 and so 2.01 < x < 2.99 so x could be close to 2 or 3 Insuff

_________________

http://www.hannibalprep.com

Director
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 999
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

04 May 2011, 22:31
1+2 gives ,

2.1 < x < 2.9 thereby giving either 2 or 3 as value. Hence E.
Director
Joined: 01 Feb 2011
Posts: 654
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

07 May 2011, 14:50
1. Not sufficient

3.5<= x+y <= 4.4

we can choose different x values that satisfy the above expression

2. Not sufficient

0.5<=x-y<=1.4

we can choose different x values that satisfy the above expression

1&2
2<=x<=2.9. still not sufficient as x can be close to 2 or 3.

Senior Manager
Joined: 29 Jan 2011
Posts: 281
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

21 Nov 2011, 17:50
Bunuel wrote:
The numbers x and y are NOT integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x+y --> $$3.5<x+y<4.5$$. Not sufficient.
(2) 1 is the integer that is closest to x-y --> $$0.5<x-y<1.5$$. Not sufficient.

(1)+(2) Sum above inequalities: $$4<2x<6$$ --> $$2<x<3$$ --> so $$x$$ can be closer to 2 (for example if $$x=2.1$$) as well as to 3 (for example if $$x=2.9$$). Not sufficient.

Check similar question: if-500-is-the-multiple-of-99421.html

Hope it helps.

How do we know we need to take $$3.5<x+y<4.5$$ or $$3.5<=x+y<=4.5$$ ??????
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8891
Location: Pune, India
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

24 Nov 2011, 21:35
2
1
siddhans wrote:
How do we know we need to take $$3.5<x+y<4.5$$ or $$3.5<=x+y<=4.5$$ ??????

4 is the integer that is closest to x+y i.e. there is a single integer that is closest to (x+y)
If (x+y) = 3.5, which integer is closest to it? Both 3 and 4 are at equal distance i.e. they are both 0.5 away from (x+y). But then, we cannot say that 4 is the integer closest to x+y.
Hence, x+y must be greater than 3.5. It must also be less than 4.5 due to the same reason.

Note: 3.5 is rounded up to 4 instead of 3 only because we generally follow round up convention. If we follow 'round down' convention, 3.5 will be rounded off to 3.
3.5 is equidistant from both 3 and 4.
_________________

Karishma
Veritas Prep GMAT Instructor

Manager
Joined: 23 Oct 2011
Posts: 82
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

25 Nov 2011, 16:27
VeritasPrepKarishma wrote:
siddhans wrote:
Note: 3.5 is rounded up to 4 instead of 3 only because we generally follow round up convention. If we follow 'round down' convention, 3.5 will be rounded off to 3.
3.5 is equidistant from both 3 and 4.

If on another question, we knew that x when rounded is equal to 4 then : $$3,5\leq x <4,5$$. Correct?
Intern
Joined: 11 Nov 2011
Posts: 14
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

26 Nov 2011, 04:22
If you are not good with inequalities, you can also do this with selecting values to see if you can come up with values that satisfy both 1. & 2. but give different answers for which integer x is closest to.

e.g. from 1. & 2. you can see that x is around 2.5 and y around 1.5.

if x is 2.49 and y is 1.5 you can see that both statements hold (x is closest to 2).
if x is 2.51 and y is 1.5 you can see that both statements hold (x is closest to 3).

so even together, there is INSUFFICIENT information to solve.

Same as the answers above, but a different way of approaching it.
Manager
Joined: 12 Oct 2011
Posts: 179
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

04 Jan 2012, 11:26
E is the answer. The statements are insufficient individually and also when combined. The value of x is between 2 and 3 but a definite answer to a single integer cannot be obtained. Hence, INSUFFICIENT.
_________________

Consider KUDOS if you feel the effort's worth it

Manager
Joined: 29 Jul 2011
Posts: 87
Location: United States
Re: The numbers x and y are not integers ...  [#permalink]

### Show Tags

04 Jan 2012, 12:57
Clearly solving S1 and S2 does not make any sense since they could be any fractional combination.

So, it is C or E.

Together, we could have 2.5-1.5 or 2.4-1.4, both meet S1 and S2. However, 2.5 = 3 rounded and 2.4 = 2 rounded. So, insufficient

E.
_________________

I am the master of my fate. I am the captain of my soul.
Please consider giving +1 Kudos if deserved!

DS - If negative answer only, still sufficient. No need to find exact solution.
PS - Always look at the answers first
CR - Read the question stem first, hunt for conclusion
SC - Meaning first, Grammar second
RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min

Senior Manager
Joined: 13 Aug 2012
Posts: 420
Concentration: Marketing, Finance
GPA: 3.23
The numbers x and y are NOT integers. The value of x is closest  [#permalink]

### Show Tags

21 Jan 2013, 22:54
amitdgr wrote:
The numbers x and y are not integers. The value of x is closest to which integer ?

(1) 4 is the integer that is closest to x+y
(2) 1 is the integer that is closest to x-y

Statement 1:
3.5 < x+y < 4.5

We could also have multiple values of possible y
which would either give us an x closest to 0 to 4. INSUFFICIENT!

Statement 2:
0.5 < x-y < 1.5

This will also be INSUFFICIENT like Statement 1.

Together:
Let x+y = 4.4 and x-y = 1.4 ==> 2x = 3 ==> x= 1.5, closest to 2
Let x+y = 4.1 and x-y = 1.4 ==> 2x= 2.7 ==> x=1.35, closest to 1

.. and there are many more possible combinations...

_________________

Impossible is nothing to God.

CEO
Joined: 11 Sep 2015
Posts: 3440
Re: The numbers x and y are NOT integers. The value of x is  [#permalink]

### Show Tags

05 Sep 2018, 06:51
Top Contributor
ezinis wrote:
The numbers x and y are NOT integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x+y
(2) 1 is the integer that is closest to x-y

Target question: The value of x is closest to which integer?

Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 2.4 and y = 1.4. These values satisfy both statements. In this case, the answer to the target question is 2 is the closest integer to x
Case b: x = 2.6 and y = 1.4. These values satisfy both statements. In this case, the answer to the target question is 3 is the closest integer to x
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
_________________

Test confidently with gmatprepnow.com

Re: The numbers x and y are NOT integers. The value of x is   [#permalink] 05 Sep 2018, 06:51
Display posts from previous: Sort by