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

It is currently 18 Jun 2018, 18:05

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many integers are there between C and D? (1) Neither c

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 18 Jun 2011
Posts: 54
How many integers are there between C and D? (1) Neither c [#permalink]

Show Tags

New post 18 Jun 2011, 04:23
2
11
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (00:52) correct 46% (00:43) wrong based on 400 sessions

HideShow timer Statistics

How many integers are there between C and D?

(1) Neither c nor d is an integer.

(2) c – d = 3
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 1901
Re: D.S - How many Integers? [#permalink]

Show Tags

New post 18 Jun 2011, 04:47
1
guygmat wrote:
How many integers are there between C and D?

(1) Neither c nor d is an integer.

(2) c – d = 3


I got the hint from statement 1 and chose C. If it was not written, perhaps I would have missed.

(2)
c=5.1, d=2.1; c-d=3; (3,4,5)-- 3 integers between them
c=5, d=2; c-d=3; (3,4)-- 2 integers between them
Insufficient.

(1)
Clearly insufficient.
c=1.1 d=1000000.1
c=1.1 d=1.1

Combining both;
c=5.1, d=2.1; c-d=3; (3,4,5)-- 3 integers between them
OR
c=55.00001, d=52.00001; c-d=3; (53,54,55)-- 3 integers between them
Always 3 integers.

Sufficient.

Ans: "C"
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

1 KUDOS received
Intern
Intern
User avatar
Joined: 29 Jun 2011
Posts: 12
Location: Ireland
Re: D.S - How many Integers? [#permalink]

Show Tags

New post 29 Jun 2011, 09:24
1
2
The best way to answer these questions is to go through both statements individually and mark them as sufficient or insufficient. Then, only if both are marked as insufficient, you check if the two statements combined are sufficient.

Step 1: Statement 1 tells us neither C nor D is an integer.
This is clearly insufficient as it gives us no indication of how many integers are in between C and D.
Insufficient.

Step 2: Statement 2: C - D = 3.
If C and D were both integers (e.g. C = 4 and D = 7), there would be only 2 integers in between them while there would be 3 integers between C = 4.5 and D = 7.5.
Insufficient.

Step 3: Since both have been marked as insufficient, we now check them combined.
C - D = 3. C and D are not integers.
Sufficient.
Therefore the answer is C.
_________________

http://www.testprepdublin.com

For the best GMAT, GRE, and SAT preparation.

Manager
Manager
avatar
Joined: 21 Sep 2008
Posts: 184
Concentration: Strategy, Economics
GMAT Date: 07-17-2015
GPA: 3.57
GMAT ToolKit User
Re: D.S - How many Integers? [#permalink]

Show Tags

New post 29 Jun 2011, 09:51
Question - Since C-D = 3, doesn't that signify that there are indeed 3 integers or whole numbers between C and D? My reasoning is that an integer is a whole number so if the difference is 3 and not, say, 3.34534, there are clearly 3 whole numbers or integers between C and D.

Can someone please tell me where my thinking is off because it clearly is-- am I supposed to be imagining the number line and thinking of an integer as a whole number on the line or..
_________________

Life with the GMAT:

Jerome: Ben, c'est 20 secondes de plus qu'hier sur le meme parcours! C'etait bien le meme parcours la, non?!
Gigi: Mais t'enerve pas, Jerome, je crois que t'as accroche une porte.
Jerome: *$&#(*%&(*#%&

1 KUDOS received
Intern
Intern
User avatar
Joined: 29 Jun 2011
Posts: 12
Location: Ireland
Re: D.S - How many Integers? [#permalink]

Show Tags

New post 29 Jun 2011, 10:06
1
FatRiverPuff wrote:
Question - Since C-D = 3, doesn't that signify that there are indeed 3 integers or whole numbers between C and D? My reasoning is that an integer is a whole number so if the difference is 3 and not, say, 3.34534, there are clearly 3 whole numbers or integers between C and D.

Can someone please tell me where my thinking is off because it clearly is-- am I supposed to be imagining the number line and thinking of an integer as a whole number on the line or..



Hi, imagine c=4.2 and d = 7.2. c and d are not integers but their difference is exactly 3.
Now count the integers between them. 5, 6 and 7 so 3 integers for non-integer c and d.

Now imagine c= 1 and d=4. c and d are integers and their difference is exactly 3.
But counting the integers between them (2 and 3) we only get 2 for integer c and d.

Is that clearer?
_________________

http://www.testprepdublin.com

For the best GMAT, GRE, and SAT preparation.

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 686
Re: D.S - How many Integers? [#permalink]

Show Tags

New post 29 Jun 2011, 17:47
1. Not sufficient
C D
1/2 5/2 - 2 integers in between
5/2 11/2 - 3 integers in between

2. Not sufficient

C D
0 3 - 2 integers in between
1/2 7/2 - 3 integers in between

Together, Sufficient.
C D
1/2 7/2 - 3 integers.

Answer is C.
Manager
Manager
avatar
Joined: 21 Sep 2008
Posts: 184
Concentration: Strategy, Economics
GMAT Date: 07-17-2015
GPA: 3.57
GMAT ToolKit User
Re: D.S - How many Integers? [#permalink]

Show Tags

New post 29 Jun 2011, 20:49
testprepDublin wrote:
FatRiverPuff wrote:
Question - Since C-D = 3, doesn't that signify that there are indeed 3 integers or whole numbers between C and D? My reasoning is that an integer is a whole number so if the difference is 3 and not, say, 3.34534, there are clearly 3 whole numbers or integers between C and D.

Can someone please tell me where my thinking is off because it clearly is-- am I supposed to be imagining the number line and thinking of an integer as a whole number on the line or..



Hi, imagine c=4.2 and d = 7.2. c and d are not integers but their difference is exactly 3.
Now count the integers between them. 5, 6 and 7 so 3 integers for non-integer c and d.

Now imagine c= 1 and d=4. c and d are integers and their difference is exactly 3.
But counting the integers between them (2 and 3) we only get 2 for integer c and d.

Is that clearer?


Got it, thanks so much. I was reading way too much into the question :)
_________________

Life with the GMAT:

Jerome: Ben, c'est 20 secondes de plus qu'hier sur le meme parcours! C'etait bien le meme parcours la, non?!
Gigi: Mais t'enerve pas, Jerome, je crois que t'as accroche une porte.
Jerome: *$&#(*%&(*#%&

Intern
Intern
avatar
Joined: 16 Jan 2013
Posts: 30
Concentration: Finance, Entrepreneurship
GMAT Date: 08-25-2013
Re: How many integers are there between C and D? (1) Neither c [#permalink]

Show Tags

New post 28 May 2013, 12:18
What will be the situation if we take one of the values to be -ve ?
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1099
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
GMAT ToolKit User
Re: How many integers are there between C and D? (1) Neither c [#permalink]

Show Tags

New post 28 May 2013, 12:22
dhirsinha wrote:
What will be the situation if we take one of the values to be -ve ?


The answer would not change.

Consider the case \(c=1.5\) and \(d=-1.5\)

\(c-d=3\), c and d no integers

and the number of integers between c and d would be \(3\) again (\(1.5,1,0,-1,-1.5\))
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Intern
Intern
avatar
Joined: 16 Jan 2013
Posts: 30
Concentration: Finance, Entrepreneurship
GMAT Date: 08-25-2013
Re: How many integers are there between C and D? (1) Neither c [#permalink]

Show Tags

New post 28 May 2013, 12:30
[quote="Zarrolou"] Thanks for the feedback :)
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46129
Re: How many integers are there between C and D? (1) Neither c [#permalink]

Show Tags

New post 28 May 2013, 12:46
guygmat wrote:
How many integers are there between C and D?

(1) Neither c nor d is an integer.

(2) c – d = 3


Similar questions to practice:
how-many-integers-n-are-there-such-that-1-5n-139474.html (OG13)
how-many-integers-n-are-there-such-that-r-n-s-131146.html
how-many-integers-are-there-such-that-v-n-w-129065.html
how-many-integers-n-are-there-such-that-r-n-s-101917.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 6995
Premium Member
Re: How many integers are there between C and D? (1) Neither c [#permalink]

Show Tags

New post 07 May 2018, 06:15
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: How many integers are there between C and D? (1) Neither c   [#permalink] 07 May 2018, 06:15
Display posts from previous: Sort by

How many integers are there between C and D? (1) Neither c

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.