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Little confusing!!!

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by [email protected] » Wed Jun 15, 2011 2:46 am
"How many integers are there between c and d?

(1) Neither c nor d is an integer.

(2) c - d = 3"


Guyzz... OA later but my question is whether we have to consider the negative values or no??
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Source: — Data Sufficiency |
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by Mom4MBA » Wed Jun 15, 2011 3:48 am
How many integers are there between c and d?

(1) Neither c nor d is an integer.

(2) c - d = 3
Statement 1 alone is not sufficient

Statement 2:
if both integers then just 2 integers will be between them
if both non integers then 3 integers will be between them
so statement 2 alone not sufficient

hence we need both 1 and 2
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by Brent@GMATPrepNow » Wed Jun 15, 2011 6:15 am
I thought I'd throw in an example to illustrate Mom4MBA's explanation.

Statement 1: Neither c nor d is an integer.
Certainly not sufficient

Statement 2: c - d = 3
If we could be certain that c and d are both integers, this statement would be sufficient. However, since we cannot be certain of this, there are different cases to consider. The two cases I'll mention are:

Case a) c and d are both integers
For example, if c=4 and d=1, then there are 2 integers between c and d (they are 2 and 3)

Case b) c and d are not both integers
For example, if c=4.5 and d=1.5, then there are 3 integers between c and d (they are 2, 3 and 4)

So, statement 2 is not sufficient.


Statements 1 & 2:
Statement 1 guarantees that case b (above) is the only case, in which case we have sufficient information and the answer is C

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