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

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Retired Moderator
Joined: 22 Aug 2013
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Re: How many odd integers are greater than the integer x and  [#permalink]

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18 Mar 2018, 23:05
20043856 wrote:
2) There are 24 integers greater than x and less than y

What if;

1<N<1000----> Any 24 numbers between 1 and 1000 will also satisfy the second argument of the question.

Hello

If you are taking X=1 and Y=1000, then there are not just '24' integers between them. Between 1 and 1000 there are '998' integers (2, 3, 4, ...999). So this example (of 1 and 1000) cannot be taken considering the second statement.

When the statement says, "there are 24 integers between X and Y", it means there are '24 integers only'. That is only possible if Y = X+25. And out of those 24 integers, 12 will be odd and 12 will be even (no matter whether X is odd or even, or whether Y is even or odd)
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Re: How many odd integers are greater than the integer x and  [#permalink]

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27 Jul 2018, 01:05
I could not understand why we are considering the integers as consecutive or positive?
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Re: How many odd integers are greater than the integer x and  [#permalink]

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17 Aug 2018, 00:49

Satatement 1 yields 4 different possibilities while statement 2 provides a single answer of 12 odd numbers (24/2).

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Hasnain Afzal

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

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28 Aug 2018, 13:11
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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, even though it is neither negative nor positive.
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Re: How many odd integers are greater than the integer x and  [#permalink]

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13 Jul 2019, 04:43
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

B
Re: How many odd integers are greater than the integer x and   [#permalink] 13 Jul 2019, 04:43

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