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How many integers are there between C and D? (1) Neither c [#permalink]
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18 Jun 2011, 03:23
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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
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Re: D.S  How many Integers? [#permalink]
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18 Jun 2011, 03:47
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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; cd=3; (3,4,5) 3 integers between them c=5, d=2; cd=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; cd=3; (3,4,5) 3 integers between them OR c=55.00001, d=52.00001; cd=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, 08:24
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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.
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Re: D.S  How many Integers? [#permalink]
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29 Jun 2011, 08:51
Question  Since CD = 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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Re: D.S  How many Integers? [#permalink]
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29 Jun 2011, 09:06
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FatRiverPuff wrote: Question  Since CD = 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 noninteger 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?
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Re: D.S  How many Integers? [#permalink]
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29 Jun 2011, 16:47
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.



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Re: D.S  How many Integers? [#permalink]
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29 Jun 2011, 19:49
testprepDublin wrote: FatRiverPuff wrote: Question  Since CD = 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 noninteger 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
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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, 11:18
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, 11:22
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 \(d=1.5\) \(cd=3\), 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, 11:30
[quote="Zarrolou"] Thanks for the feedback



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