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# How many odd integers are greater than the integer x and

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Manager
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How many odd integers are greater than the integer x and [#permalink]  14 Jun 2008, 19:18
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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

thanks.
Manager
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Re: odd integers - DS [#permalink]  15 Jun 2008, 08:35
I would go with D

1 statement : E Odd E Odd E Odd E... so if there 12 Even than must be 12 odd

2 statement: y-x=24 Therefore, E Odd E Odd.... the same as in 1.

I choose D.
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Re: odd integers - DS [#permalink]  15 Jun 2008, 08:42
B, second only is the sufficient.
If total integers between X and Y are 24 then we can group them as pair of 1even and 1 odd.
Thus 12 pairs so 12 odd. But from the first option we can not conclude how many odd integers are there?
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Re: odd integers - DS [#permalink]  15 Jun 2008, 08:45
marshpa wrote:
B, second only is the sufficient.
If total integers between X and Y are 24 then we can group them as pair of 1even and 1 odd.
Thus 12 pairs so 12 odd. But from the first option we can not conclude how many odd integers are there?

marshpa I suppose that even and odd alternate That is why I choose D

What do you think?
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Re: odd integers - DS [#permalink]  15 Jun 2008, 09:06
What is OA?
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Re: odd integers - DS [#permalink]  15 Jun 2008, 09:10
I think second is sufficient. Reason if there are 24 integers( they are consecutives) that means 12 odd integers.
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Re: odd integers - DS [#permalink]  15 Jun 2008, 09:28
marshpa wrote:
I think second is sufficient. Reason if there are 24 integers( they are consecutives) that means 12 odd integers.

But according to your logic - In statement 1 If we have 12 consecuitives Even than there must be 12 consecutives odd!
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Re: odd integers - DS [#permalink]  15 Jun 2008, 16:41
quantum wrote:
marshpa wrote:
I think second is sufficient. Reason if there are 24 integers( they are consecutives) that means 12 odd integers.

But according to your logic - In statement 1 If we have 12 consecuitives Even than there must be 12 consecutives odd!

No, that not what I meant. Consider numbers 1,2,3,4,5 we have 2 consecutive evens but 3 consecutive odds.
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Re: odd integers - DS [#permalink]  15 Jun 2008, 22:01
marshpa

Yes, you are right friend!
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Re: odd integers - DS [#permalink]  17 Jun 2008, 15:39
just curious though, what part in the stem and/or statements ensure that no two integers are the same, i.e that they are distinct and therefore can conclude from 2) that there are only 12 odd integers?

24 integers greater than x and less than y COULD mean:

let x=2
2< 3,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7<8

is it beacuse, it does not say that these numbers are in a set? by saying greater than x, do we have to automatically assume a number line?
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Re: odd integers - DS [#permalink]  02 Jul 2008, 02:32
if x is even then we have 12 E and 12 O between x and y but if x is odd we have 12 E and 11 O between x and Y
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Re: odd integers - DS [#permalink]  02 Jul 2008, 03:05
if x is even then we have 12 E and 12 O between x and y but if x is odd we have 12 E and 11 O between x and Y
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Re: odd integers - DS [#permalink]  02 Jul 2008, 04:02
gmat blows 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

thanks.

We do not know whether or not the set contains consecutive integers.
Re: odd integers - DS   [#permalink] 02 Jul 2008, 04:02
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