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Re: If n is an integer, is n + 1 odd? [#permalink]
03 Aug 2012, 04:05
The following Rules will be handy in order to solve this question:
Even Number (+/-) Odd Number = Odd Number------->(a) Even Number (+/-) Even Number = Even Number------>(b) Odd Number (+/-) Odd Number = Even Number.------->(c)
Now coming to the question stem: is N + 1 = Odd. From the question stem itself we know that 1 is an odd number and that the result is odd. From equation (a) above we know that this is only possible when n is even. So, the question is actually asking as if n is even?
Statement (1): n + 2`= Even. "2" as we know is even so this result is only possible if n is even (b). SUFFICIENT
Statement (2): n- 1 = Odd. "1" is an Odd Number. This result is only possible if n is even (b). SUFFICIENT