Ashujain wrote:How many odd integers are greater than the integer x and less than the integer y?
1) There are 12 even integers greater than x and less than y
2) There are 24 integers greater than x and less than y
We need to find out how many integers are there between X and Y (The variables are explicitly stated as
Integers)
why is this check important?
Case 1(integers):X and Y are integers 3 and 5 respectively, the number of integers between 3 and 5 is 1 (that is only 4 lies btw 3 and 5)
Case 2 (non integers): X =3.5 and y=5.5 , the number of integers btw 3.5 and 5.5 is 2 ( that is 4,5 )
Takeaway: Never assume the variables to be integers unless it is explicitly stated in the question. This is one of the GMAT Traps.
Now returning to the problem,
A good practice in DS question is to gauge both the statements and then deciding which flow ( AD/BCE or BD/ACE ) to use.
Looking at both the options it is pretty clear that B answers the question.
So start with BD/ACE flow,
B is sufficient. It gives us the number of integers btw X and Y. Hence ACE is out.
Now checking S1, pick a small number range.
1,2,3,4,5 - Number of even integers =
2 Number of integers =
3
1,2,3,4,5,6 - Number of even integers =
2 Number of integers =
4
Hence S1 is insufficient. D is out. We are left with
B[/list]
