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

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 1 sessions

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

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?

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

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?

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.

The answer should be C. We do not know whether or not the set contains consecutive integers.

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