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Thread: odd integer

  1. #11
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    I think shobby has given the right solutions.
    I don't think there is a exact formula for this question, what you should know is a is even, a/2 is even... that's enough, and nothing more.

  2. #12
    An Urch Guru Pundit Swami Sage Fiver's Avatar
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    Quote Originally Posted by ramzrambo View Post
    ah well.....any better method!!!????????????????
    Given a-b is even=> both even or both odd
    Given a/b is even=> both even or a is even and b is odd. Condition satisfied by both the statements is that both a and b are even. Now, if both a & b are even and a/b is an integer, then a must be greater than b and a multiple of 4.
    Now option D reads: (a+2)/2= a/2+1 and any multiple of 4 when halfed will be an even number and 1+even is odd. Hence D is the correct answer

  3. #13
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    a-b is even

    This means that either both a and b are even or both a and b are odd.
    --->Conclusion 1

    a/b is even

    This plus Conclusion 1 derives the fact that a and b both should be even.

    Now if both are even, more than one of the options is right,.... can anybody pull me further???

  4. #14
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    a-b is even

    This means that either both a and b are even or both a and b are odd.
    --->Conclusion 1

    a/b is even

    This plus Conclusion 1 derives the fact that a and b both should be even.

    Now if both are even, more than one of the options is right,.... can anybody pull me further???

  5. #15
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    a-b is even

    This means that either both a and b are even or both a and b are odd.
    --->Conclusion 1

    a/b is even

    This plus Conclusion 1 derives the fact that a and b both should be even.

    Now if both are even, more than one of the options is right,.... can anybody pull me further???

  6. #16
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    Its D.

  7. #17
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    ans is d
    a/b =2m so a is even
    a-b is even so b is even
    so a=2mb=4mn as b=2n
    so (a+2)/2=2mn+1 so odd
    but (b+2)/2 = n+1 n can be even or odd so b can be odd or even
    Last edited by bose; 09-30-2008 at 05:42 PM.

  8. #18
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    But why not E.
    Its also almost true......

  9. #19
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    subsvirgin...check out my explanation that explains the special case for A, B......b can be 2(b/2 + 1 = 2...hence even) but "a" can never be 2.

  10. #20
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    Fiver

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