If a is an odd integer and b is an even integer, which of the following CANNOT be true?  Pick:
A) a + b is an odd integer. B) a is a factor of b. C) b is a factor of a. D) a^b is an odd integer. E) b^a is an even integer.
a = Odd   b = Even   Checking Options:   A. a + b = odd+even = odd Hence It can be True   B. a is a factor of b. if a=3 and b=6 a may be factor of b Hence It can be True   C. b is a factor of a. and Even Number can NEVER be a factor of an ODD number Hence False hence CORRECT OPTION   D. a^b is an odd integer.   E. b^a is an even integer   Answer: Option b is a factor of a.
<result>C</result>
If a is an odd integer and b is an even integer, which of the following CANNOT be true?