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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] New post 26 Jan 2013, 00:05
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] New post 15 Feb 2013, 06:32
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] New post 23 Feb 2013, 11:58
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] New post 25 Feb 2013, 01:44
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] New post 25 Feb 2013, 10:54
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:
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] New post 26 Apr 2014, 08:01
Statement (ii) is really tricky one.

At first I thought If X= 1 I can take any number for Y say y= 50 and I can put any 24 numbers between them.

These numbers can all be even. But
The sentence " There are 24 integers greater than x and less than y " is not what I am thinking.

If x=1, y=50 , how can it be 24 integers in between them?
Actually, without writing I thought it wrongly but when I wrote example, I realized that the numbers are consecutive.
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Re: How many odd integers are greater than the integer x and [#permalink] New post 04 May 2014, 23:10
hi bunnel

st 1 can still be written and tried...
but st 2 will be time consuming... how do we know for sure that when there r 24 even I between x & y then there will be 24 odd I, without manually doing this? as doing it manually time consuming...

as you suggest we should take smaller number to try but how to decide which numbers will gave same result as 12 & 24..
any double? like i can take 4 for case 1 and 8 for case 2?
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Re: How many odd integers are greater than the integer x and [#permalink] New post 05 May 2014, 00:47
Expert's post
nandinigaur wrote:
hi bunnel

st 1 can still be written and tried...
but st 2 will be time consuming... how do we know for sure that when there r 24 even I between x & y then there will be 24 odd I, without manually doing this? as doing it manually time consuming...

as you suggest we should take smaller number to try but how to decide which numbers will gave same result as 12 & 24..
any double? like i can take 4 for case 1 and 8 for case 2?


(2) says that there are 24 (even) integers greater than integer x and less than integer y. The important part is that the number of integers between x and y is even. In this case half of them must be odd and another half must be even. How else? Can there be 11 odd integers and 13 odd integer greater than x and less than y?

If we were told that there are 3 (odd) integers greater than integer x and less than integer y, then this would be insufficient, because there could be 1 odd and 2 evens or 2 odds and 1 even.
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Re: How many odd integers are greater than the integer x and [#permalink] New post 05 May 2014, 00:50
thanks bunnel... i guess i am understanding
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Re: How many odd integers are greater than the integer x and   [#permalink] 05 May 2014, 00:50
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