Latest RRB Aptitude Question SOLUTION: 37) If m is an odd integer and n is an even integer, which of the following is definitely odd? a) (2m+n)(m-n) b) (m + n2 )( m - n2) c) m2 + mn + n2 d) m+n

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(#M40026086) RRB question 2011 QUESTION Keep an EYE

37) If m is an odd integer and n is an even integer, which of the following is definitely odd?
a) (2m+n)(m-n)
b) (m + n2 )( m - n2)
c) m2 + mn + n2
d) m+n

Asked In RRB MAN (10 years ago)

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Deepika Jain  (10 years ago)

m+n
even+odd=odd

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Chandni Maurya  (10 years ago)

ans= b,c & d are odd
as we know,
odd*odd=odd ; odd*even=even ; even*even=even;
odd+odd=even ; odd+even=odd ; even+even=even;
odd-odd=even ; odd-even=odd ; even-even=even; even-odd=odd.
now apply it in the given options,
(a).(2m+n)(m-n) = (even*odd+even)(odd-even) = even*odd = even
(b).(m+n^2)(m-n^2)= (odd+even*even)(odd-even*even) = odd*odd = odd
(c). m^2 + mn + n^2= odd*odd +odd*even + even*even = odd+even+even = odd
(d). m+n = odd + even = odd

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