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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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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?
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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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FatRiverPuff
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 :)
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What will be the situation if we take one of the values to be -ve ?
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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 (\(1.5,1,0,-1,-1.5\))
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[quote="Zarrolou"] Thanks for the feedback :)
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guygmat
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.
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