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How many odd integers between 200 and 600 are there such [#permalink]
 18 Nov 2009, 12:57
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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
Last edited by Bunuel on 09 Sep 2012, 03:49, edited 1 time in total.
Renamed the topic and edited the question.
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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.
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I guess the easier way to do this would be. 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.
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Re: How many odd integers between 200 and 600 are there such [#permalink]
09 Sep 2012, 03:50
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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; Total: 4*5*5=100. Answer: C.
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Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 08:04
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????
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Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 08:09
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Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 08:15
Yes thank you that is what I thought also, but then Asax is wrong? Isn't he or she?!
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Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 08:20
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Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 08:25
Ok thanks Bunuel for the clear explanation!
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Re: How many odd integers between 200 and 600 are there such [#permalink]
04 Jan 2013, 14:18
KevinBrink wrote: Yes thank you that is what I thought also, but then Asax is wrong? Isn't he or she?! even when you exclude 200 and 600 there will be 200 odd numbers and 100 out of which will have tenths digit as even
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Re: How many odd integers between 200 and 600 are there such
[#permalink]
04 Jan 2013, 14:18
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