How many odd integers are greater than the integer x and

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Re: how many odd integers are greater than the integer x and [#permalink]

26 Jan 2013, 01:05

nothingman wrote:

Hi! why is it that nobody (and I mean on any forum) has considered X to be a negative integer? If that's the case then the option E would be the clear answer, wouldn't it?

It doesnt matter whether x or y are negative, the pattern will still be the same. Note that 0 is considered as even.
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Re: How many odd integers are greater than the integer x and [#permalink]

15 Feb 2013, 07:32

I fail this

if the number of intergers between x and y is even, half of the number is even, half is odd

if the number of interger between x and y is odd, there is 2 cases

case 1, the number of even numbers is larger than the number of odd number

case 2, the number of odd number is greater than the number of even number

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Re: How many odd integers are greater than the integer x and [#permalink]

23 Feb 2013, 12:58

You can consider x to be a negative number say -10 and y to be a positive number. Now statement 2 states that there are 24 numbers greater than x and lesser than y. Hence, the value of y is 15. Now, calculate the number of odd numbers between these numbers. It will be 12
-9,-7,-5,-3,-1,1,3,5,7,9,11,13.

Even if x is a negative odd number and y a positive even numbers with 24 numbers between them, the result would be same. I am unsure of how you found statement 2 to be INSUFFICIENT.

It would be great if you could let me know about your understanding of this statement.

nothingman wrote:

Hi! why is it that nobody (and I mean on any forum) has considered X to be a negative integer? If that's the case then the option E would be the clear answer, wouldn't it?

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Re: How many odd integers are greater than the integer x and [#permalink]

25 Feb 2013, 02:44

Orange08 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

in case (2) Is it good to assume that these are 24 consecutive integers ??

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Re: How many odd integers are greater than the integer x and [#permalink]

25 Feb 2013, 11:54

Statement 2 states that There are 24 integers greater than x and less than y. There are totally 24 integers between these two numbers excluding these two numbers. The statement does not mention anything about the sign or values of this number. There is no other way for 24 integers to exist between 2 integers without being consecutive.

Consider the number of integers between 1 and 10 exclusive. The answer has to be 8(2,3,4,5,6,7,8,9). Is there any other possible answer?

Hope this helps!

jbisht wrote:

Orange08 wrote:

in case (2) Is it good to assume that these are 24 consecutive integers ??

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Re: How many odd integers are greater than the integer x and [#permalink] 25 Feb 2013, 11:54

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How many odd integers are greater than the integer x and

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How many odd integers are greater than the integer x and

How many odd integers are greater than the integer x and

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