turkey-yks 2016 Q5

turkey-yks · Other · lys1-math Number Theory Congruence Reasoning and Parity Arguments
The greatest common divisor of positive integers a and b is odd, and their least common multiple is even.
Accordingly, I. $a \cdot b$ II. $a + b$ III. $a ^ { b }$ Which of the following expressions always equals an odd number?
A) Only I
B) Only II
C) Only III
D) I and III
E) II and III 
The greatest common divisor of positive integers a and b is odd, and their least common multiple is even.

Accordingly,\\
I. $a \cdot b$\\
II. $a + b$\\
III. $a ^ { b }$\\
Which of the following expressions always equals an odd number?\\
A) Only I\\
B) Only II\\
C) Only III\\
D) I and III\\
E) II and III
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