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

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

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18 Jun 2011, 04:23
2
11
00:00

Difficulty:

45% (medium)

Question Stats:

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

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How many integers are there between C and D?

(1) Neither c nor d is an integer.

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

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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"
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Re: D.S - How many Integers? [#permalink]

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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.
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Re: D.S - How many Integers? [#permalink]

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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..
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Jerome: *$&#(*%&(*#%& Intern Joined: 29 Jun 2011 Posts: 12 Location: Ireland Re: D.S - How many Integers? [#permalink] ### Show Tags 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 Joined: 01 Feb 2011 Posts: 686 Re: D.S - How many Integers? [#permalink] ### Show Tags 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 Joined: 21 Sep 2008 Posts: 184 Concentration: Strategy, Economics GMAT Date: 07-17-2015 GPA: 3.57 Re: D.S - How many Integers? [#permalink] ### Show Tags 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: *$&#(*%&(*#%&

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Re: How many integers are there between C and D? (1) Neither c [#permalink]

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28 May 2013, 12:18
What will be the situation if we take one of the values to be -ve ?
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Re: How many integers are there between C and D? (1) Neither c [#permalink]

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

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 ($$1.5,1,0,-1,-1.5$$)
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Re: How many integers are there between C and D? (1) Neither c [#permalink]

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28 May 2013, 12:30
[quote="Zarrolou"] Thanks for the feedback
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Re: How many integers are there between C and D? (1) Neither c [#permalink]

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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

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Hope it helps.
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Re: How many integers are there between C and D? (1) Neither c [#permalink]

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Re: How many integers are there between C and D? (1) Neither c   [#permalink] 07 May 2018, 06:15
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