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02 May 2007, 00:13
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I am confused between "whenever" and "only when"... can someone please clarify ??
Statement - "Result is even only when N is even".
Conclusion from the above statement -
1. When N is even, the Result is EVEN
2. When N is NOT even, the result is NOT even. i.e when N is ODD, result is ODD
Stament - "Result is EVEN whenver N is even"
Conclusion from the above statement -
1. When N is even, the resut is EVEN.
what else can we conclude ??? how is "whenever" different from "only when" ???
Thank You very much !!!
Statement - "Result is even only when N is even".
Conclusion from the above statement -
1. When N is even, the Result is EVEN
2. When N is NOT even, the result is NOT even. i.e when N is ODD, result is ODD
Stament - "Result is EVEN whenver N is even"
Conclusion from the above statement -
1. When N is even, the resut is EVEN.
what else can we conclude ??? how is "whenever" different from "only when" ???
Thank You very much !!!
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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02 May 2007, 05:28
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"Result is even only when N is even" :
- if N odd, result IS NOT even
- if N even, result MAY BE even
- if result even, N IS even
"Result is EVEN whenever N is even"
- if N odd, result MAY BE even
- if N even, result IS even
- if result is odd, N IS odd
That's the way I understand it.
Cheers
CerealsMBA
- if N odd, result IS NOT even
- if N even, result MAY BE even
- if result even, N IS even
"Result is EVEN whenever N is even"
- if N odd, result MAY BE even
- if N even, result IS even
- if result is odd, N IS odd
That's the way I understand it.
Cheers
CerealsMBA
04 May 2007, 13:10
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Helps rephrasing the text:
Statement - "Result is even ONLY when N is even".
Meaning - We get an even Answer ONLY when N is even.
(1) "When N is even, the Result is EVEN".
Just says, N (even) --> Result (even). We dont know what the result will be when N is ODD.
(2) "when N is ODD, result is ODD "
Here we dont know how the result would be when N is EVEN.
Putting these 2 together - we know that:
When N is even, the Result is EVEN & when N is ODD, result is ODD,
This means that Result is even ONLY when N is even (Corollary - The Result is ODD ONLY when N is ODD).
Statement - "Result is even ONLY when N is even".
Meaning - We get an even Answer ONLY when N is even.
(1) "When N is even, the Result is EVEN".
Just says, N (even) --> Result (even). We dont know what the result will be when N is ODD.
(2) "when N is ODD, result is ODD "
Here we dont know how the result would be when N is EVEN.
Putting these 2 together - we know that:
When N is even, the Result is EVEN & when N is ODD, result is ODD,
This means that Result is even ONLY when N is even (Corollary - The Result is ODD ONLY when N is ODD).
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
