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The definition of even and odd covers all integers such that : (a) Any number which, when divided by 2, leaves a remainder 0 is EVEN. (b) Any number which, when divided by 2, leaves a remainder 1 is ODD.

Thus 0, being an integer and satisfying condition (a), is an EVEN number. _________________

400 numbers between - 200 & 600 Out of which half would be even, half odd. Number of odd = 200. Of this.. the one with even tenth digit would be half again. hence 100. _________________

Re: How many odd integers between 200 and 600 are there such [#permalink]
09 Sep 2012, 02:50

5

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Expert's post

How many odd integers between 200 and 600 are there such that their tens digit is even?

A. 20 B. 25 C. 100 D. 150 E. 200

The hundreds digit can take 4 values: 2, 3, 4 and 5; The tens digit can take 5 values: 0, 2, 4, 6 and 8; The units digit can take 5 values: 1, 3, 5, 7 and 9;

Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 07:04

This has got nothing to do with the question, however according to the Sum formula aren't there 399 numbers between 200 and 600, i.e. 599-201 = 398 + 1 = 399????

Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 07:09

1

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KevinBrink wrote:

This has got nothing to do with the question, however according to the Sum formula aren't there 399 numbers between 200 and 600, i.e. 599-201 = 398 + 1 = 399????

It depends whether we include 200 and 600.

There are 401 integers from 200 to 600, both inclusive; There are 400 integers from 200 to 600, including 600 or 200. There are 399 integers from 200 to 600, both exclusive.